April 12, 2021
AMC 8 Algebra Questions - Year wise

Try these AMC 8 Algebra Questions and check your knowledge! AMC 8, 2019, Problem 24 In triangle $ABC$, point $D$ divides side $\overline{AC}$ so that $AD:DC=1:2$. Let $E$ be the midpoint of $\overline{BD}$ and let $F$ be the point of intersection of line $BC$ and line $AE$. Given that the area of $\triangle ABC$ is […]

April 12, 2021
Prepare for Math Kangaroo Competition with Cheenta ✌

Math Kangaroo Competition is an International Mathematical Competition for kids of graded 1 to 12. It is also known as : "International Mathematical Kangaroo" or "Kangourou sans frontiÃ¨res" in French. This competition focus on the logical ability of the kids rather than their grip on learning Math formulas. Some Interesting Facts on Math Kangaroo: In […]

April 11, 2021
Is MLE always a function of a Sufficient Statistic?

MLE is an important algorithm to find an estimate. Sufficiency is a good small sample property. So, how are they related? Is MLE always a function of sufficient statistic? Let's explore.

April 10, 2021
ISI MStat 2020 PSB Problem 6 Problem & Solution

This problem is an application of the multinomial distribution, sufficiency and beautiful application of probabilistic algebraic argument. Let's enjoy this problem 6 of ISI MStat 2020.

March 29, 2021
Meditation in Mathematics - PHP, Bose Olympiad, Gravity in Mars

Your Math-Mail from Cheenta Dear students,  Let the world engage in rat race. We will focus on deep and beautiful learning.  Here is a beautiful problem that we worked on this week. Suppose there are 5 points spread in 1 by 1 square field. The points can be at the corners, on the edges or […]

March 26, 2021
INMO 2021 Problem 5 - Solution and Discussion

A beautiful geometry problem from INMO 2021 (problem 5). Learn how to use angle chasing to find center of a circle.

March 25, 2021
How to Prepare for IIT JAM MS Statistics Exam?

From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam.

March 25, 2021
IIT JAM Statistics Entrance Exam books based on Syllabus

Are you preparing for ISI MStat Entrance Exams? Here is the list of useful books for ISI MStat Entrance Exam based on the syllabus.

March 15, 2021
IIT JAM Statistics Mock Test | Cheenta Statistics Department

Mock Tests are important. They help you to analyze your own performance, by collecting your own data. Cheenta Statistics Department has been preparing quality mock tests for the passionate students appearing for IIT JAM MS.

March 15, 2021
What is Stirling Number of First Kind

Let us learn about Stirling Numbers of First Kind. Watch video and try the problems related to Math Olympiad Combinatorics

March 11, 2021
INMO 2021 Question No. 1 Solution

Suppose $r\geq 2$ is an integer, and let $m_{1},n_{1},m_{2},n_{2} \cdots ,m_{r},n_{r}$ be $2r$ integers such that$$|m_{i}n_{j}−m_{j}n_{i}|=1$$for any two integers $i$ and $j$ satisfying $1\leq i <j <r$. Determine the maximum possible value of $r$. Solution: Let us consider the case for $r =2$. Then $|m_{1}n_{2} - m_{2}n_{1}| =1$.......(1) Let us take $m_{1} =1, n_{2} =1, m_{2} =0, n_{1} =0$. Then, clearly the condition holds for $r =2$. […]

March 7, 2021
INMO 2021 - Problems, Solutions and Discussion

This is a work in progress. Please come back soon for more updates. We are adding problems, solutions and discussions on INMO (Indian National Math Olympiad 2021) INMO 2021, Problem 1 Suppose $r \geq 2$ is an integer, and let $m_{1}, n_{1}, m_{2}, n_{2}, \cdots, m_{r}, n_{r}$ be $2 r$ integers such that $$|m_{i} n_{j}-m_{j} […] Read More March 7, 2021 Diameter of Incircle Lemma and Dilation of Incircle Suppose we have a triangle ABC. Let us extend the sides BA and BC. We will draw the incircle of this triangle. How to draw the incircle? Here is the construction. Draw any two angle bisectors, say of angle A and angle B Mark the intersection point I. Drop a perpendicular line from I to […] Read More February 23, 2021 How to prepare for IIT JAM Statistics? [A Data Analysis] This year Cheenta Statistics Department has done a survey on the scores in each of the sections along with the total score in IIT JAM MS. Here is the secret for you! We have normalized the score to understand in terms of percentage. There are three questions, we ask The general performance for the IIT […] Read More February 21, 2021 B.Math 2008 Objective Paper| Problems & Solutions Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2008. Problem 1 : Let a, b and c be fixed positive real numbers. Let u_{n}=\frac{n^{2} a}{b+n^{2} c} for n \geq 1. Then as n increases, (A) u_{n} increases;(B) u_{n} decreases;(C) u_{n} increases first and then decreases;(D) none of the above […] Read More February 21, 2021 B.Math 2007 Objective Paper| Problems & Solutions Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up 7 steps if we take one or two steps at a time is (A) 19 ;(B) 20;(C) 21 ;(D) 22 . Problem 2 : Consider the surface defined by x^{2}+2 […] Read More February 20, 2021 ISI Entrance 2011 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let a \geq 0 be a constant such that \sin (\sqrt{x+a})=\sin (\sqrt{x}) for all x \geq 0 . What can […] Read More February 20, 2021 ISI Entrance 2010 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the 13 th day of some month occurs on a Friday. Problem 2: In the accompanying […] Read More February 20, 2021 ISI Entrance 2009 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let x, y, z be non-zero real numbers. Suppose \alpha, \beta, \gamma are complex numbers such that |\alpha|=|\beta|=|\gamma|=1 . If x+y+z=0=\alpha […] Read More February 20, 2021 ISI Entrance 2008 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let f: \mathbb{R} \rightarrow \mathbb{R} be a continuous function. Suppose$$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$for all x \in \mathbb{R} and […] Read More February 19, 2021 IIT JAM MS 2021 Question Paper | Set C | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set C. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set C) Problem 1 […] Read More February 19, 2021 INTRODUCING 5-days a week practice classes on olympiad and ISI Entrance problems In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance. Read More February 18, 2021 IIT JAM MS 2021 Question Paper | Set A | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set A. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set A) Problem 1 […] Read More February 18, 2021 IIT JAM MS 2021 Question Paper | Set B | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set B. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set B) Problem 1 […] Read More February 18, 2021 ISI B.Stat & B.Math 2014 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inequalities$$a-b^{2} \geq \frac{1}{4}, b-c^{2} \geq \frac{1}{4}, c-d^{2} \geq \frac{1}{4}, d-a^{2} \geq \frac{1}{4} \quad \text { has }$$(A) no solutions(B) […] Read More February 18, 2021 ISI B.Stat 2013 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let i=\sqrt{-1} and S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} . The number of distinct real numbers in the set S is (A) 1(B) 2(C) […] Read More February 16, 2021 Test of Mathematics Solution Objective 394 Power of Complex Number Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses this geometric character complex numbers. Read More February 16, 2021 Test of Mathematics Solution Objective 398 - Complex Number and Binomial Theorem Try a beautiful problem from complex numbers and geometry. It is from I.S.I. Entrance. We have created sequential hints to make this mathematical journey enjoyable! Read More February 16, 2021 Test of Mathematics Solution Subjective 188 - The Numbered Chessboard This is a Test of Mathematics Solution Subjective 188 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Consider the squares of an  8 X 8  chessboard filled with the […] Read More February 16, 2021 Test of Mathematics Solution Subjective 181 - Diagonal Moves This is a Test of Mathematics Solution Subjective 181 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that one moves along […] Read More February 16, 2021 Test of Mathematics Solution Subjective 177 -The Famous Doors Problem This is a Test of Mathematics Solution Subjective 177 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem There are 1000 doors  […] Read More February 16, 2021 Test of Mathematics Solution Subjective 176 - Value of a Polynomial at x = n+1 This is a Test of Mathematics Solution Subjective 176 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that P(x) is a […] Read More February 16, 2021 Test of Mathematics Solution Subjective 175 - Integer Roots This is a Test of Mathematics Solution Subjective 175 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let $\text{P(x)}=x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\dots+a_{1}x+a_{0}$ be a polynomial […] Read More February 16, 2021 Test of Mathematics Solution Subjective 170 - Infinite Circles This is a Test of Mathematics Solution Subjective 170 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let ${C_n}$ be an infinite […] Read More February 16, 2021 Test of Mathematics Solution Subjective 166 -The Grazing Field This is a Test of Mathematics Solution Subjective 166 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem A cow is grazing with […] Read More February 16, 2021 Test of Mathematics Solution Subjective 157 -Limit of a product This is a Test of Mathematics Solution Subjective 157 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate  \mathbf {\displaystyle \lim_{n […] Read More February 16, 2021 Test of Mathematics Solution Subjective 155 -The Lim 1/(n+r) Problem This is a Test of Mathematics Solution Subjective 155 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate:  \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n}) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 150 - Maximum of nth roots of n This is a Test of Mathematics Solution Subjective 150 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the maximum among  […] Read More February 16, 2021 Test of Mathematics Solution Subjective 144 - Finding a Function's Upper Bound This is a Test of Mathematics Solution Subjective 144 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose  f(x) is a […] Read More February 16, 2021 Test of Mathematics Solution Subjective 127 -Graphing relations This is a Test of Mathematics Solution Subjective 127 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find all (x, y) such that sin x + sin y = sin (x+y) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 126 - Graphs of Absolute Value Functions This is a Test of Mathematics Solution Subjective 126 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch, on plain paper, the regions represented, on the plane by the following: (i) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 125 - Function on Natural Numbers This is a Test of Mathematics Solution Subjective 125 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Let  f: \mathcal{N} to \mathcal{N}  be the function defined by f(0) = […] Read More February 16, 2021 Test of Mathematics Solution Subjective 124 - Graph sketching This is a Test of Mathematics Solution Subjective 124 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch on plain paper, the graph of  y = \frac {x^2 + 1} […] Read More February 16, 2021 Graphing integer value function | Tomato Subjective 117 This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let y= f(x) = [x] + \sqrt{x - [x]} ,s=2  be defined for all real numbers x. (i) Sketch on […] Read More February 16, 2021 Test of Mathematics Solution Subjective 116 - Angles in a Triangle This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that  […] Read More February 16, 2021 Test of Mathematics Solution Subjective 115 - Trigonometric Relation This is a Test of Mathematics Solution Subjective 115 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If \displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} } , […] Read More February 16, 2021 Test of Mathematics Solution Subjective 113 - Vertices of a Triangle This is a Test of Mathematics Solution Subjective 113 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem: Find the vertices of the two right angles triangles, each having area 18 and […] Read More February 16, 2021 Test of Mathematics Solution Subjective 110 - Ratio of Diagonals of Cyclic Quadrilateral This is a Test of Mathematics Solution Subjective 110 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Let ABCD be a […] Read More February 16, 2021 Test of Mathematics Solution Subjective 107 - Perpendiculars from Center This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: If a, b and c […] Read More February 16, 2021 Test of Mathematics Solution Subjective 90 - Graphing Inequality This is a Test of Mathematics Solution Subjective 90 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Draw the region of […] Read More February 16, 2021 Test of Mathematics Solution Subjective 88 - Complex Numbers with a Property This is a Test of Mathematics Solution Subjective 88 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: A pair of complex numbers […] Read More February 16, 2021 Test of Mathematics Solution Subjective 84 - Comparing Equations This is a Test of Mathematics Solution Subjective 84 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that there is exactly one value of $x$ that satisfies the equation: $2 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 83 - Two numbers adding up to 1 This is a Test of Mathematics Solution Subjective 83 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If a and b are positive real numbers such that a + b = […] Read More February 16, 2021 Test of Mathematics Solution Subjective 82 - Inequality on four positive real numbers This is a Test of Mathematics Solution Subjective 82 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let a, b, c, d […] Read More February 16, 2021 Test of Mathematics Solution Subjective 81 - Cyclic and Symmetric Simultaneous Equations This is a Test of Mathematics Solution Subjective 81 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find all possible real numbers […] Read More February 16, 2021 Test of Mathematics Solution Subjective 79 -Trigonometric Inequality This is a Test of Mathematics Solution Subjective 79 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let {{\theta}_1}, {{\theta}_2}, […] Read More February 16, 2021 Test of Mathematics Solution Subjective 78 -Absolute Value Inequality This is a Test of Mathematics Solution Subjective 78 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For real numbers {x}, […] Read More February 16, 2021 Test of Mathematics Solution Subjective 77 - Rational Function Inequality This is a Test of Mathematics Solution Subjective 77 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem For {x > 0}, show that {\displaystyle{\frac{x^n - 1}{x - 1}}{\ge}{n{x^{\frac{n - […] Read More February 16, 2021 Test of Mathematics Solution Subjective 76 - Range of a Rational Polynomial This is a Test of Mathematics Solution Subjective 76 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find the set of all values of {m} such that {\displaystyle {y} […] Read More February 16, 2021 Test of Mathematics Solution Subjective 75 - Continuity and Roots of a Polynomial This is a Test of Mathematics Solution Subjective 75 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that there is at […] Read More February 16, 2021 Test of Mathematics Solution Subjective 74 - Sum of Squares of Digits This is a Test of Mathematics Solution Subjective 74 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem The sum of squares of […] Read More February 16, 2021 Test of Mathematics Solution Subjective 73 - Coefficients of a Quadratic This is a Test of Mathematics Solution Subjective 73 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the equation {x^3 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 72 - Polynomial Problem This is a Test of Mathematics Solution Subjective 72 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If {\displaystyle{\alpha}, {\beta}, {\gamma}} […] Read More February 16, 2021 Test of Mathematics Solution Subjective 71 - Real solutions This is a Test of Mathematics Solution Subjective 71 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the following simultaneous equations […] Read More February 16, 2021 Test of Mathematics Solution Subjective 58 - Balls of Different Color This is a Test of Mathematics Solution Subjective 58 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem In a certain game, 30 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 57 - Number of Six Letter Words This is a Test of Mathematics Solution Subjective 57 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem How many 6-letter words can […] Read More February 15, 2021 Test of Mathematics Solution Subjective 70 - Equal Roots This is a Test of Mathematics Solution Subjective 70 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that all roots of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 69 - Coefficients of Polynomial This is a Test of Mathematics Solution Subjective 69 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that the three equations […] Read More February 15, 2021 Test of Mathematics Solution Subjective 67 - Four Real Roots This is a Test of Mathematics Solution Subjective 67 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Describe the set of all […] Read More February 15, 2021 Test of Mathematics Solution Subjective 66 - Range of a Polynomial This is a Test of Mathematics Solution Subjective 66 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If c is a real […] Read More February 15, 2021 Test of Mathematics Solution Subjective 65 - Minimum Value of Quadratic This is a Test of Mathematics Solution Subjective 65 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that for all real x, the expression {ax^2} + bx + […] Read More February 15, 2021 Test of Mathematics Solution Subjective 64 -Functional Equation This is a Test of Mathematics Solution Subjective 64 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If f(x) is a real-valued […] Read More February 15, 2021 Test of Mathematics Solution Subjective 63 - Pair of Straight Lines This is a Test of Mathematics Solution Subjective 63 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If any one pair among […] Read More February 15, 2021 Test of Mathematics Solution Subjective 62 - System of Equations This is a Test of Mathematics Solution Subjective 62 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the system of equations […] Read More February 15, 2021 Test of Mathematics Solution Subjective 61 - Symmetric Polynomial This is a Test of Mathematics Solution Subjective 61 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Solve {{6x}^{2}} - […] Read More February 15, 2021 Test of Mathematics Solution Subjective 60 - Equivalence Class This is a Test of Mathematics Solution Subjective 60 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set S of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 59 - Number of squares This is a Test of Mathematics Solution Subjective 59 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set of point […] Read More February 15, 2021 Test of Mathematics Solution Subjective 116 - Angles in a Triangle This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that […] Read More February 15, 2021 Test of Mathematics Solution Subjective 55 - Partition of a set of functions This is a Test of Mathematics Solution Subjective 55 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For a finite set A, […] Read More February 15, 2021 Test of Mathematics Solution Subjective 50 -Dictionary Ranking This is a Test of Mathematics Solution Subjective 50 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem All the permutation of the […] Read More February 15, 2021 Test of Mathematics Solution Subjective 49 - Arrangement of Similar Items This is a Test of Mathematics Solution Subjective 49 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: \(x$ red balls, $y$ black balls,$z$ […] Read More February 15, 2021 Test of Mathematics Solution Subjective 48 - The Gifts Distribution This is a Test of Mathematics Solution Subjective 48 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the different number of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 43-Integer Root This is a Test of Mathematics Solution Subjective 43 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the equation  […] Read More February 15, 2021 Test of Mathematics Solution Subjective 38 - When 30 divides a prime Test of Mathematics Solution Subjective 38 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that if a prime number p is divided […] Read More February 15, 2021 Test of Mathematics Solution Subjective 37 - The prime 13 Test of Mathematics Solution Subjective 37 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Supposed p is a prime Number such that (p-1)/4 […] Read More February 15, 2021 Test of Mathematics Solution Subjective 36 - Invariance Principle Test of Mathematics Solution Subjective 36 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let  a_1 , a_2 , ... , a_n […] Read More February 15, 2021 Test of Mathematics Solution Subjective 33 - Symmetrical Minima Test of Mathematics Solution Subjective 33 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let $k$ be a fixed odd positive integer. Find […] Read More February 15, 2021 Test of Mathematics Solution Subjective 32 | Power of 3 Test of Mathematics Solution Subjective 32 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that the number 11...1 with  3^n  […] Read More February 15, 2021 Test of Mathematics Solution Subjective 17 - Odd Coefficients This is a Test of Mathematics Solution (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem If the coefficients of a quadratic equation […] Read More February 15, 2021 Test of Mathematics Solution Subjective 56 - Number of Four Digit Integers This is a Test of Mathematics Solution Subjective 56 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the number of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 42- Polynomial with Integer Coefficients This is a Test of Mathematics Solution of Subjective 42 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also Visit: I.S.I & CMI Entrance Course of Cheenta Problem Let f(x) be a […] Read More February 13, 2021 ISI B.Stat 2011 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Group A Problem 1: The limit$$\lim _{x \rightarrow 0} \frac{1-\cos \left(\sin ^{2} \alpha x\right)}{x} (A) equals $1$;(B) equals $\alpha$;(C) equals $0$ ;(D) does […]

February 12, 2021
ISI B.Stat 2010 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: There are 8 balls numbered $1,2, \ldots, 8$ and 8 boxes numbered $1,2, \ldots, 8$. The number of ways one can put […]

February 8, 2021
ISI B.Stat & B.Math 2015 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2015 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $\mathbb{C}$ denote the set of complex numbers and $S=\{z \in \mathbb{C} \mid \bar{z}=z^{2}\},$ where $\bar{z}$ denotes the complex conjugate of $z […] Read More February 8, 2021 Test of Mathematics Solution Subjective 46 - Number of Onto Functions This is a Test of Mathematics Solution Subjective 46 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem A function $f$ from set $A$ into set […] Read More February 8, 2021 ISI B.Stat, B.Math Paper 2016 Objective| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2016 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The largest integer$n$for which$n+5$divides$n^{5}+5$is(A) 3115(B) 3120(C) 3125(D) 3130 . Problem 2: Let$p, q$be primes […] Read More February 7, 2021 ISI B.Stat 2009 Objective Paper| problems & solutions Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Group A Problem 1: If$k$times the sum of the first$n$natural numbers is equal to the sum of the squares of […] Read More February 7, 2021 ISI B.Stat 2008 Objective Paper| problems & solutions Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let$C$be the circle$x^{2}+y^{2}+4 x+6 y+9=0$. The point$(-1,-2)$is(A) inside$C$but not the centre of$C$;(B) outside$C$;(C) […] Read More February 7, 2021 ISI B.Stat 2007 Objective Paper| problems & solutions Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let$x$be an irrational number. If$a, b, c$and$d$are rational numbers such that$\frac{a x+b}{cx+d}$is a rational […] Read More February 5, 2021 Indian National Math Olympiad, INMO 2015 Problems This post contains problems from Indian National Mathematics Olympiad, INMO 2015. Try them and share your solution in the comments. INMO 2015, Problem 1 Let$A B C$be a right-angled triangle with$\angle B=90^{\circ} .$Let$B D$be the altitude from$B$on to$A C .$Let$P, Q$and$I$be […] Read More January 31, 2021 PRMO 2012 Set A Problems & Solutions | Previous Year Paper This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2012 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2012 Set A, Problem 1: Rama was asked by her teacher to […] Read More January 31, 2021 PRMO 2013 Set A Problems & Solutions | Previous Year Paper This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2013 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2013 Set A, Problem 1: What is the smallest positive integer$k$[…] Read More January 31, 2021 PRMO 2015 Set B Problems & Solutions | Previous Year Paper This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2015 Set B problems and solutions. You may find some solutions with hints too. PRMO 2015 Set B, Problem 1: A man walks a certain distance and rides back in$3 \frac{3}{4}$hours; he could ride both ways in$2 \frac{1}{2}$hours. How many […] Read More January 31, 2021 PRMO 2014 Problems & Solutions | Previous Year Paper This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2014 problems and solutions. You may find some solutions with hints too. PRMO 2014, Problem 1: A natural number$k$is such that$k^{2}<2014<(k+1)^{2}$. What is the largest prime factor of$k ?$PRMO 2014, Problem 2: The first term of a sequence is […] Read More January 17, 2021 IOQM 2021 Problem Solutions This post is getting updated. Stay tuned for solutions, videos and more. IOQM 2021 - Problem 1 Let$ABCD$be a trapezium in which$AB \parallel CD$and$AB=3CD$. Let$E$be the midpoint of the diagonal$BD$. If$[ABCD]= n \times [CDE] $, what is the value of$n$? (Here$[\Gamma]$denotes the […] Read More January 16, 2021 IIT JAM Stat Mock Test Toppers We are really happy with the performance of our students and thus, we have initiated to name the Toppers of IIT JAM Stat Mock Test. These toppers are named in this leader board according to their performance in IIT JAM Stat Mock Tests. So, here goes the list: These Mock Tests are part of our […] Read More January 14, 2021 Pigeonhole Principle “The Pigeonhole principle” ~ Students who have never heard may think that it is a joke. Pigeonhole Principle is one of the simplest but most useful ideas in mathematics. Let’s learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put N + 1 […] Read More January 3, 2021 IIT JAM Stat MS 2021 Problem Solving Crash Course IIT JAM Stat Entrance Exam 2021 is just around the corner. Cheenta Statistics Department has declared a Crash Course for the aspirants of IIT JAM Stat Masters Entrance 2021. This course includes: Weekly Two Live Classes - Tuesday and Wednesday Quality Group Discussion Recorded Sessions (in case, you miss it) 12 - 15 + hours […] Read More December 14, 2020 Mathematics Summer Camps in India One Should Explore Mathematics Summer Camps help students to feel the richness of Mathematics. These summer mathematics programme in India instills the love for Mathematics in students. In this post, we are going to discuss the Mathematics Summer Camps in India for School and College Students. Here we go: 1. Programs in Mathematics for Young Scientists - PROMYS […] Read More November 6, 2020 National Mathematics Talent Contest (NMTC) The National Mathematics Talent Contest or NMTC is a national-level mathematics contest conducted by the Association of Mathematics Teachers of India (AMTI). Aim of the contest: To find and encourage students who have the ability for original and creative thinking, preparedness to tackle unknown and non-routine problems having a general mathematical ability suitable to their level. Who can take […] Read More November 2, 2020 Bose Olympiad Senior Level | Resources Bose Olympiad Senior is suitable for kids in Grade 8 and above. There are two levels of this olympiad: Prelims Mains Curriculum Number Theory Combinatorics Algebra Polynomials Complex Numbers Inequality Geometry Number Theory The following topics in number theory are useful for the Senior round: Bezout’s Theorem and Euclidean Algorithm Theory of congruence Number Theoretic […] Read More November 2, 2020 Bose Olympiad Intermediate - Resources Bose Olympiad Intermediate is suitable for kids in Grade 5, 6, and 7. There are two levels of this olympiad: Prelims Mains Curriculum Elementary Number Theory Counting Principles Algebra Geometry Number Theory The following topics in number theory are useful for the Intermediate round: Primes and Composites Arithmetic of Remainders Divisibility Number Theoretic Functions Here […] Read More November 2, 2020 Bose Olympiad Junior Level | Resources Bose Olympiad Junior is suitable for kids in Grade 1, 2, 3 and 4. There are two levels of this Olympiad: Prelims Mains Curriculum Arithmetic Geometry Mathematical Puzzles Arithmetic Basic skills of addition, subtraction and multiplication and division will be sufficient for attending arithmetic problems. Fundamental ideas about place-value system and ratios could be useful […] Read More October 29, 2020 How to use Vectors and Carpet Theorem in Geometry 1? Here is a video solution for a Problem based on using Vectors and Carpet Theorem in Geometry 1? This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Given ABCD is a quadrilateral and P and Q are 2 points on AB and […] Read More October 29, 2020 Mahalanobis National Statistics Competition Mahalanobis National Statistics Competition = MNStatC organized by Cheenta Statistics Department with exciting cash prizes. What is MNStatC? Mahalanobis National Statistics Competition (MNStatC) is a national level statistics competition, aimed at undergraduate students as well as masters, Ph.D. students, and data analytics, and ML professionals. MNStatC plans to test your core mathematics, probability, and statistics […] Read More October 28, 2020 Letter to parents: Talk about infinity Dear parent, One of the key contributions of modern mathematics is its tryst with infinity. As parents and teachers we can initiate thought provoking communication with our children using infinity. Consider the following set: N = {1, 2, 3, … } Notice that N contains infinitely many elements. Take a subset of N that consists […] Read More October 20, 2020 Carpet Strategy in Geometry | Watch and Learn Here is a video solution for a Problem based on Carpet Strategy in Geometry. This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Suppose ABCD is a square and X is a point on BC such that AX and DX are joined […] Read More October 19, 2020 Bijection Principle Problem | ISI Entrance TOMATO Obj 22 Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn! Here goes the question… Given that: x+y+z=10, where x, y and z are natural numbers. How many such solutions are possible for this equation? We will recommend you to […] Read More October 18, 2020 Triangle Problem | PRMO-2018 | Problem No-24 Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem. Read More October 17, 2020 What is the Area of Quadrilateral? | AMC 12 2018 | Problem 13 Here is a video solution for a Problem based on finding the area of a quadrilateral. This question is from American Mathematics Competition, AMC 12, 2018. Watch and Learn! Here goes the question… Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral? We will recommend you […] Read More October 16, 2020 Solving Weird Equations using Inequality | TOMATO Problem 78 Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn! Here goes the question… Solve: 2 \cos ^{2}\left(x^{3}+x\right)=2^{x}+2^{-x} We will recommend you to try the problem yourself. Done? Let’s see the proof in the video below: Some Useful Links: How to Construct Rational Numbers? […] Read More October 16, 2020 Even Parity and Odd Parity Parity in Mathematics is a term which we use to express if a given integer is even or odd. It is basically depend on the remainder when we divide a number by 2. Parity can be divided into two categories - 1. Even Parity 2. Odd Parity Even Parity : If we divide any number by […] Read More October 16, 2020 Value of Sum | PRMO - 2018 | Question 16 Try this Integer Problem from Number theory from PRMO 2018, Question 16 You may use sequential hints to solve the problem. Read More October 15, 2020 AM-GM Inequality Problem | ISI Entrance Here is a video solution for ISI Entrance Number Theory Problems based on AM-GM Inequality Problem. Watch and Learn! Here goes the question... a, b, c, d are positive real numbers. Prove that: (1+a)(1+b)(1+c)(1+d) <= 16. We will recommend you to try the problem yourself. Done? Let's see the proof in the video below: Some […] Read More October 15, 2020 Chessboard Problem | PRMO-2018 | Problem No-26 Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem. Read More October 13, 2020 Sum of 8 fourth powers | ISI Entrance Problem Here is a video solution for ISI Entrance Number Theory Problems based on Sum of 8 fourth powers. Watch and Learn! Can you show that the sum of 8 fourth powers of integers never adds up to 1993? How can you solve this fourth-degree diophantine equation? Let's see in the video below: Some Useful Links: […] Read More October 13, 2020 Measure of Angle | PRMO-2018 | Problem No-29 Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem. Read More October 10, 2020 Good numbers Problem | PRMO-2018 | Question 22 Try this good numbers Problem from Number theory from PRMO 2018, Question 22 You may use sequential hints to solve the problem. Read More October 8, 2020 Polynomial Problem | PRMO-2018 | Question 30 Try this Integer Problem from Number theory from PRMO 2018, Question 30 You may use sequential hints to solve the problem. Read More October 6, 2020 Digits Problem | PRMO - 2018 | Question 19 Try this Integer Problem from Number theory from PRMO 2018, Question 19 You may use sequential hints to solve the problem. Read More October 4, 2020 Chocolates Problem | PRMO - 2018 | Problem No. - 28 Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem. Read More October 2, 2020 Trigonometry | PRMO-2018 | Problem No-14 Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem. Read More September 30, 2020 External Tangent | AMC 10A, 2018 | Problem 15 Try this beautiful Problem on geometry based on circle from AMC 10A, 2018. Problem-15. You may use sequential hints to solve the problem. Read More September 29, 2020 Dice Problem | AMC 10A, 2014| Problem No 17 Try this beautiful Problem on Probability from AMC 10A, 2014. Problem-17, You may use sequential hints to solve the problem. Read More September 29, 2020 Problem on Curve | AMC 10A, 2018 | Problem 21 Try this beautiful Problem on Co-ordinate geometry from AMC 10A, 2018. Problem-21, You may use sequential hints to solve the problem. Read More September 28, 2020 Finding Greatest Integer | AMC 10A, 2018 | Problem No 14 Try this beautiful Problem on Algebra from AMC 10A, 2018. Problem-14, You may use sequential hints to solve the problem. Read More September 28, 2020 Right-angled Triangle | AMC 10A, 2018 | Problem No 16 Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-16. You may use sequential hints to solve the problem. Read More September 27, 2020 Length of the crease | AMC 10A, 2018 | Problem No 13 Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-13. You may use sequential hints to solve the problem. Read More September 26, 2020 Colour Problem | PRMO-2018 | Problem No-27 Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem. Read More September 25, 2020 Right-angled shaped field | AMC 10A, 2018 | Problem No 23 Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-23. You may use sequential hints to solve the problem. Read More September 24, 2020 Area of region | AMC 10B, 2016| Problem No 21 Try this beautiful Problem on Geometry on Circle from AMC 10B, 2016. Problem-20. You may use sequential hints to solve the problem. Read More September 23, 2020 Coin Toss Problem | AMC 10A, 2017| Problem No 18 Try this beautiful Problem on Probability from AMC 10A, 2017. Problem-18, You may use sequential hints to solve the problem. Read More September 22, 2020 GCF & Rectangle | AMC 10A, 2016| Problem No 19 Try this beautiful Problem on Geometry on Rectangle from AMC 10A, 2010. Problem-19. You may use sequential hints to solve the problem. Read More September 21, 2020 ISI MStat Entrance 2020 Problems and Solutions Problems and Solutions of ISI MStat Entrance 2020 of Indian Statistical Institute. Read More September 21, 2020 Fly trapped inside cubical box | AMC 10A, 2010| Problem No 20 Try this beautiful Problem on Geometry on cube from AMC 10A, 2010. Problem-20. You may use sequential hints to solve the problem. Read More September 21, 2020 ISI Entrance 2020 Problems and Solutions - B.Stat & B.Math Problems and Solutions of ISI BStat and BMath Entrance 2020 of Indian Statistical Institute. Read More September 20, 2020 Measure of angle | AMC 10A, 2019| Problem No 13 Try this beautiful Problem on Geometry from AMC 10A, 2019.Problem-13. You may use sequential hints to solve the problem. Read More September 19, 2020 Sum of Sides of Triangle | PRMO-2018 | Problem No-17 Try this beautiful Problem on Geometry from PRMO -2018.You may use sequential hints to solve the problem. Read More September 17, 2020 Recursion Problem | AMC 10A, 2019| Problem No 15 Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-15, You may use sequential hints to solve the problem. Read More September 16, 2020 Roots of Polynomial | AMC 10A, 2019| Problem No 24 Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-24, You may use sequential hints to solve the problem. Read More September 15, 2020 Testing of Hypothesis | ISI MStat 2016 PSB Problem 9 This is a problem from the ISI MStat Entrance Examination,2016 making us realize the beautiful connection between exponential and geometric distribution and a smooth application of Central Limit Theorem. Read More September 15, 2020 Set of Fractions | AMC 10A, 2015| Problem No 15 Try this beautiful Problem on Algebra from AMC 10A, 2015. Problem-15. You may use sequential hints to solve the problem. Read More September 14, 2020 Indian Olympiad Qualifier in Mathematics - IOQM Due to COVID 19 Pandemic, the Maths Olympiad stages in India has changed. Here is the announcement published by HBCSE: Important Announcement [Updated:14-Sept-2020] The national Olympiad programme in mathematics culminating in the International Mathematical Olympiad (IMO) 2021 and European Girls’ Mathematical Olympiad (EGMO) 2022 has been disrupted by the COVID -19 pandemic in the country. In […] Read More September 14, 2020 Positive Integers and Quadrilateral | AMC 10A 2015 | Sum 24 Try this beautiful Problem on Rectangle and triangle from AMC 10A, 2015. Problem-24. You may use sequential hints to solve the problem. Read More September 14, 2020 ISI MStat PSB 2006 Problem 8 | Bernoullian Beauty This is a very simple and regular sample problem from ISI MStat PSB 2009 Problem 8. It It is based on testing the nature of the mean of Exponential distribution. Give it a Try it ! Read More September 13, 2020 Rectangular Piece of Paper | AMC 10A, 2014| Problem No 22 Try this beautiful Problem on Rectangle and triangle from AMC 10A, 2014. Problem-23. You may use sequential hints to solve the problem. Read More September 12, 2020 How to roll a Dice by tossing a Coin ? Cheenta Statistics Department How can you roll a dice by tossing a coin? Can you use your probability knowledge? Use your conditioning skills. Read More September 10, 2020 Probability in Marbles | AMC 10A, 2010| Problem No 23 Try this beautiful Problem on Probability from AMC 10A, 2010. Problem-23. You may use sequential hints to solve the problem. Read More September 9, 2020 Points on a circle | AMC 10A, 2010| Problem No 22 Try this beautiful Problem on Number theory based on Triangle and Circle from AMC 10A, 2010. Problem-22. You may use sequential hints to solve the problem. Read More September 5, 2020 Circle and Equilateral Triangle | AMC 10A, 2017| Problem No 22 Try this beautiful Problem on Triangle and Circle from AMC 10A, 2017. Problem-22. You may use sequential hints to solve the problem. Read More August 26, 2020 Bayes' in-sanity || Cheenta Probability Series Listen to a frequentist's carping over Bayesian school of thinking! Read More August 25, 2020 International Youth Mathematics Challenge (IYMC) - Cheenta Opportunities The International Youth Mathematics Challenge, IYMC is a large scale competition reaching across borders to compete nationally and internationally. This competition enables students from all countries to prove their mathematical skills and creativity to win awards, cash prizes, and global recognition. Eligibility Criteria To participate in the International Youth Mathematics Challenge, IYMC a participant needs […] Read More August 23, 2020 Laplace in the World of Chances| Cheenta Probability Series In this post we will be discussing mainly about, naive Bayes Theorem, and how Laplace, developed the same idea as Bayes, independently and his law of succession goes. Read More August 22, 2020 Interior Point of a Triangle | PRMO-2017 | Problem No-24 Try this beautiful Problem based on Interior Point of a Triangle from PRMO -2017, Problem-24. You may use sequential hints to solve the problem. Read More August 21, 2020 Side of a Quadrilateral | AMC 10A, 2009 | Problem No 12 Try this beautiful Problem on Side of a Quadrilateral from AMC 10A, 2009. Problem-12. You may use sequential hints to solve the problem. Read More August 21, 2020 Linear Equation Problem | AMC 10A, 2015 | Problem No.16 Try this beautiful Problem based on Linear Equations, Algebra AMC 10A, 2015, Problem-16. You may use sequential hints to solve the problem. Read More August 19, 2020 Trapezium | AMC 10A ,2009 | Problem No 23 Try this beautiful Problem on Geometry: quadrilateral from AMC 10A, 2009. Problem-12. You may use sequential hints to solve the problem. Read More August 15, 2020 ISI MStat PSB 2009 Problem 8 | How big is the Mean? This is a very simple and regular sample problem from ISI MStat PSB 2009 Problem 8. It It is based on testing the nature of the mean of Exponential distribution. Give it a Try it ! Read More August 14, 2020 ISI MStat PSB 2009 Problem 4 | Polarized to Normal This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 4. It is based on the idea of Polar Transformations, but need a good deal of observation o realize that. Give it a Try it ! Read More August 13, 2020 ISI MStat PSB 2008 Problem 7 | Finding the Distribution of a Random Variable This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 7 based on finding the distribution of a random variable. Let's give it a try !! Read More August 13, 2020 ISI MStat PSB 2008 Problem 2 | Definite integral as the limit of the Riemann sum This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 2 based on definite integral as the limit of the Riemann sum . Let's give it a try !! Read More August 13, 2020 ISI MStat PSB 2008 Problem 3 | Functional equation This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 3 based on Functional equation . Let's give it a try !! Read More August 13, 2020 ISI MStat PSB 2009 Problem 6 | abNormal MLE of Normal This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 6. It is based on the idea of Restricted Maximum Likelihood Estimators, and Mean Squared Errors. Give it a Try it ! Read More August 12, 2020 ISI MStat PSB 2009 Problem 3 | Gamma is not abNormal This is a very simple but beautiful sample problem from ISI MStat PSB 2009 Problem 3. It is based on recognizing density function and then using CLT. Try it ! Read More August 12, 2020 ISI MStat PSB 2009 Problem 1 | Nilpotent Matrices This is a very simple sample problem from ISI MStat PSB 2009 Problem 1. It is based on basic properties of Nilpotent Matrices and Skew-symmetric Matrices. Try it ! Read More August 11, 2020 Bayes and The Billiard Table | Cheenta Probability Series This post discusses how judgements can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidences in decoding uncertainty leading towards Bayesian Thinking. Read More August 11, 2020 How to Calculate Geometric Mean | Learn the Concept Let's learn how to calculate the geometric mean. This is a concept video useful for Mathematics Olympiad and ISI and CMI Entrance. Watch and Learn: Read and Learn: What is the Geometric mean of two numbers a and b & how to calculate it? Suppose a and b are positive numbers then their geometric mean […] Read More August 9, 2020 Circular arc | AMC 10A ,2012 | Problem No 18 Try this beautiful Problem on Geometry: Circular arc from AMC 10A, 2012. Problem-18. You may use sequential hints to solve the problem. Read More August 7, 2020 Nonconglomerability and the Law of Total Probability || Cheenta Probability Series This explores the unsung sector of probability : "Nonconglomerability" and its effects on conditional probability. This also emphasizes the idea of how important is the idea countable additivity or extending finite addivity to infinite sets. Read More August 7, 2020 Area of rectangle | AMC 10A ,2012 | Problem No 21 Try this beautiful Problem on geometry from AMC 10A, 2012. You may use sequential hints to solve the problem. Read More August 6, 2020 ISI MStat PSB 2006 Problem 2 | Cauchy & Schwarz come to rescue This is a very subtle sample problem from ISI MStat PSB 2006 Problem 2. After seeing this problem, one may think of using Lagrange Multipliers, but one can just find easier and beautiful way, if one is really keen to find one. Can you! Read More August 5, 2020 ISI MStat PSB 2007 Problem 6 | Counting Principle & Expectations This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 6 based on counting principle . Let's give it a try !! Read More August 5, 2020 ISI MStat PSB 2005 Problem 3 | The Orthogonal Matrix This is a very subtle sample problem from ISI MStat PSB 2005 Problem 3. Given that one knows the property of orthogonal matrices its just a counting problem. Give it a thought! Read More August 5, 2020 ISI MStat PSB 2006 Problem 6 | Counting Principle & Expectations This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 6 based on counting principle . Let's give it a try !! Read More August 5, 2020 ISI MStat PSB 2006 Problem 5 | Binomial Distribution This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 5 based on use of binomial distribution . Let's give it a try !! Read More August 5, 2020 ISI MStat PSB 2006 Problem 1 | Inverse of a matrix This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 1 based on Inverse of a matrix. Let's give it a try !! Read More August 5, 2020 Area of the Trapezium | PRMO-2017 | Question 30 Try this beautiful Problem from Geometry based on the area of the trapezium from PRMO 2017, Question 30. You may use sequential hints to solve the problem. Read More August 5, 2020 ISI MStat PSB 2007 Problem 2 | Rank of a matrix This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 2 based on Rank of a matrix. Let's give it a try !! Read More August 4, 2020 ISI MStat PSB 2007 Problem 1 | Determinant and Eigenvalues of a matrix This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 1 based on Determinant and Eigen values and Eigen vectors . Let's give it a try !! Read More August 4, 2020 ISI MStat PSB 2007 Problem 4 | Application of Newton Leibniz theorem This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 4 based on use of Newton Leibniz theorem . Let's give it a try !! Read More August 4, 2020 ISI MStat PSB 2007 Problem 3 | Application of L'hospital Rule This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 3 based on use of L'hospital Rule . Let's give it a try !! Read More August 4, 2020 ISI MStat PSB 2005 Problem 1 | The Inductive Matrix This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 1. It is based on some basic properties of upper triangular matrix and diagonal matrix, only if you use them carefully. Give it a thought! Read More August 4, 2020 Problem on Circle and Triangle | AMC 10A, 2016 | Problem 21 Try this beautiful problem from Geometry: Problem on Circle and Triangle from AMC-10A (2016) Problem 21. You may use sequential hints to solve the problem. Read More August 2, 2020 Judgements in a Fitful Realm | Cheenta Probability Series This post discusses how judgements can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidences in decoding uncertainty leading towards Bayesian Thinking. Read More August 2, 2020 Least Possible Value Problem | AMC-10A, 2019 | Quesstion19 Try this beautiful problem from Algebra based on least possible number.AMC-10A, 2019. You may use sequential hints to solve the problem Read More August 1, 2020 Nearest value | PRMO 2018 | Question 14 Try this beautiful problem from the Pre-RMO, 2018 based on the Nearest value. You may use sequential hints to solve the problem. Read More July 31, 2020 Probability From A Frequentist's Perspective || Cheenta Probability Series This post discusses about the history of frequentism and how it was an unperturbed concept till the advent of Bayes. It sheds some light on the trending debate of frequentism vs bayesian thinking. Read More July 27, 2020 ISI MStat PSB 2014 Problem 4 | The Machine's Failure This is a very simple sample problem from ISI MStat PSB 2014 Problem 4. It is based on order statistics, but generally due to one's ignorance towards order statistics, one misses the subtleties . Be Careful ! Read More July 24, 2020 ISI MStat PSB 2009 Problem 2 | Linear Difference Equation This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 2 based on Convergence of a sequence. Let's give it a try !! Read More July 24, 2020 ISI MStat PSB 2012 Problem 6 | Tossing a biased coin This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 6 based on Conditional probability . Let's give it a try !! Read More July 24, 2020 ISI MStat PSB 2013 Problem 3 | Number of distinct integers This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 3 based on Counting principle . Let's give it a try !! Read More July 23, 2020 ISI MStat PSB 2013 Problem 8 | Finding the Distribution of a Random Variable This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 8 based on finding the distribution of a random variable. Let's give it a try !! Read More July 23, 2020 ISI MStat PSB 2009 Problem 5 | Finding the Distribution of a Random Variable This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 5 based on finding the distribution of a random variable. Let's give it a try !! Read More July 23, 2020 Some Classical Problems And Paradoxes In Geometric Probability||Cheenta Probability Series This is our 6th post in our ongoing probability series. In this post, we deliberate about the famous Bertrand's Paradox, Buffon's Needle Problem and Geometric Probability through barycentres. Read More July 20, 2020 How to Measure the Length of your Earphone from a Pic?| Cheenta Probability Series This is our 5th post in the Cheenta Probability Series. This article teaches how to mathematically estimate the length of an earphone wire by it's picture. Read More July 20, 2020 ISI MStat PSB 2018 Problem 9 | Regression Analysis This is a very simple sample problem from ISI MStat PSB 2018 Problem 9. It is mainly based on estimation of ordinary least square estimates and Likelihood estimates of regression parameters. Try it! Read More July 19, 2020 Sequence and permutations | AIME II, 2015 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination II, AIME II, 2015 based on Sequence and permutations. Read More July 18, 2020 Physics of Coin Tossing and Uncertainty | Cheenta Probability Series This is our 4th post in the Cheenta Probability Series. This article deals with mainly the physics involved in coin tossing, and based on such problems how it effects the chances of the outcome of coin toss , and how it reveals the true nature of uncertainty !! Read More July 17, 2020 ISI MStat PSB 2004 Problem 7 | Finding the Distribution of a Random Variable This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 7 based on finding the distribution of a random variable. Let's give it a try !! Read More July 17, 2020 Numbers of positive integers | AIME I, 2012 | Question 1 Try this beautiful problem number 1 from the American Invitational Mathematics Examination, AIME, 2012 based on Numbers of positive integers. Read More July 17, 2020 ISI MStat PSB 2013 Problem 7 | Bernoulli interferes Normally This is a very simple and beautiful sample problem from ISI MStat PSB 2013 Problem 7. It is mainly based on simple hypothesis testing of normal variables where it is just modified with a bernoulli random variable. Try it! Read More July 16, 2020 Cheenta Toppers of the Month - January We are really happy with the performance of our students and thus, we have initiated to name the Toppers of the month in Cheenta. The names of the toppers will be updated every month to keep the healthy competition alive in Cheenta. These toppers are named in this leader board according to their performance in […] Read More July 16, 2020 Number of points and planes | AIME I, 1999 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on the number of points and planes. Read More July 16, 2020 ISI MStat PSB 2004 Problem 4 | Calculating probability using Uniform Distribution This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 4 based on finding probability using a uniform distribution. Let's give it a try !! Read More July 16, 2020 ISI MStat PSB 2005 Problem 2 | Calculating probability using Binomial Distribution This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 2 based on finding probability using binomial distribution. Let's give it a try !! Read More July 15, 2020 Understanding Statistical Regularity Through Random Walks | Cheenta Probability Series This is another blog of the Cheenta Probability Series. Let's give a formal definition of statistical regularity to bring some seriousness into account. **10 min read** “The Law of Statistical Regularity formulated in the mathematical theory of probability lays down that a moderately large number of items chosen at random from a very large group […] Read More July 15, 2020 ISI MStat PSB 2013 Problem 9 | Envelope Collector's Expenditure This is a very simple and beautiful sample problem from ISI MStat PSB 2013 Problem 9. It is mainly based on geometric distribution and its expectation . Try it! Read More July 15, 2020 Arithmetic Sequence Problem | AIME I, 2012 | Question 2 Try this beautiful problem number 2 from the American Invitational Mathematics Examination I, AIME I, 2012 based on Arithmetic Sequence Problem. Read More July 14, 2020 Graph Coordinates | AMC 10A, 2015 | Question 12 Try this beautiful Problem on Graph Coordinates from co-ordinate geometry from AMC 10A, 2015. You may use sequential hints to solve the problem. Read More July 13, 2020 Digits of number | PRMO 2018 | Question 3 Try this beautiful problem from the Pre-RMO, 2018 based on Digits of number. You may use sequential hints to solve the problem. Read More July 13, 2020 Smallest value | PRMO 2018 | Question 15 Try this beautiful problem from the Pre-RMO, 2018 based on the Smallest value. You may use sequential hints to solve the problem. Read More July 12, 2020 Restricted Maximum Likelihood Estimator |ISI MStat PSB 2012 Problem 9 This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 9, It's about restricted MLEs, how restricted MLEs are different from the unrestricted ones, if you miss delicacies you may miss the differences too . Try it! But be careful. Read More July 12, 2020 ISI MStat PSB 2013 Problem 2 | Application of sandwich Theorem This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 2 based on use of Sandwich Theorem . Let's give it a try !! Read More July 12, 2020 ISI MStat PSB 2014 Problem 2 | Properties of a Function This is a very beautiful sample problem from ISI MStat PSB 2014 Problem 2 based on the use and properties of a function. Let's give it a try !! Read More July 12, 2020 Length and Triangle | AIME I, 1987 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle. Read More July 12, 2020 ISI MStat PSB 2012 Problem 3 | Finding the Distribution of a Random Variable This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 3 based on finding the distribution of a random variable . Let's give it a try !! Read More July 11, 2020 Positive Integer | PRMO-2017 | Question 1 Try this Integer Problem from Algebra from PRMO 2017, Question 1 You may use sequential hints to solve the problem. Read More July 11, 2020 Algebra and Positive Integer | AIME I, 1987 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Algebra and Positive Integer. Read More July 10, 2020 ISI MStat Mock Test | Cheenta Statistics Department Mock Tests are important. They help you to analyze your own performance, by collecting your own data. Cheenta Statistics Department has been preparing quality mock tests for the passionate students appearing for ISI MStat. Read More July 10, 2020 ISI MStat PSB 2010 Problem 10 | Uniform Modified This is a very elegant sample problem from ISI MStat PSB 2010 Problem 10, based on properties of uniform, and its behavior when modified. Try it! Read More July 10, 2020 Distance and Spheres | AIME I, 1987 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Distance and Spheres. Read More July 9, 2020 Arithmetic Mean | AIME I, 2015 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Arithmetic Mean. You may use sequential hints. Read More July 9, 2020 Distance Time | AIME I, 2012 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Distance Time. You may use sequential hints. Read More July 8, 2020 An Unexpected Correspondence and some Unfinished Games | Cheenta Probability Series This is our 2nd post on Cheenta Probability series, where we discuss mainly with two gambling problems, solved collaboratively by two great mathematcians Blaise Pascal and Pierre de Fermat, who ended up defining the idea of fairness of a game. Read More July 8, 2020 Measuring Chances and Coincidences | Cheenta Probability Series This blog series is aimed towards Undergraduates in Statistics who want to savour probability theory in a different form altogether. We are pretty curious to collaborate and interact with probability theory enthusiasts. It would be great if they enlighten us with their insights too. Read More July 8, 2020 Algebra and Combination | AIME I, 2000 Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebra and Combination. Read More July 8, 2020 Algebraic Equation | AIME I, 2000 Question 7 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebraic Equation. Read More July 8, 2020 ISI MStat PSB 2014 Problem 1 | Vector Space & Linear Transformation This is a very beautiful sample problem from ISI MStat PSB 2014 Problem 1 based on Vector space and Eigen values and Eigen vectors . Let's give it a try !! Read More July 7, 2020 Sequence and fraction | AIME I, 2000 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and fraction. Read More July 7, 2020 Arithmetic and geometric mean | AIME I, 2000 Question 6 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Arithmetic and geometric mean with Algebra. Read More July 6, 2020 ISI MStat PSB 2012 Problem 10 | MVUE Revisited This is a very simple sample problem from ISI MStat PSB 2012 Problem 10. It's a very basic problem but very important and regular problem for statistics students, using one of the most beautiful theorem in Point Estimation. Try it! Read More July 6, 2020 Logarithms and Equations | AIME I, 2000 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 2000 based on Logarithms and Equations. Read More July 6, 2020 Finding smallest positive Integer | AIME I, 1996 Problem 10 Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 1996 based on Finding the smallest positive Integer. Read More July 5, 2020 ISI MStat PSB 2010 Problem 1 | Tricky Linear Algebra Question This is a very beautiful sample problem from ISI MStat PSB 2010 Problem 1 based on Matrix multiplication and Eigenvalues and Eigenvectors. Read More July 5, 2020 Protected: LoL XD LMAO Paradox | Cheenta Probability Series There is no excerpt because this is a protected post. Read More July 5, 2020 ISI MStat PSB 2006 Problem 9 | Consistency and MVUE This is a very simple sample problem from ISI MStat PSB 2006 Problem 9. It's based on point estimation and finding consistent estimator and a minimum variance unbiased estimator and recognizing the subtle relation between the two types. Go for it! Read More July 5, 2020 Amplitude and Complex numbers | AIME I, 1996 Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Amplitude and Complex numbers. Read More July 5, 2020 Roots of Equation and Vieta's formula | AIME I, 1996 Problem 5 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996 based on Roots of Equation and Vieta's formula. Read More July 4, 2020 ISI MStat PSB 2013 Problem 10 | Balls-go-round This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 10. It's based mainly on counting and following the norms stated in the problem itself. Be careful while thinking ! Read More July 4, 2020 Tetrahedron Problem | AIME I, 1992 | Question 6 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Tetrahedron Problem. Read More July 4, 2020 Triangle and integers | AIME I, 1995 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Triangle and integers. Read More July 4, 2020 ISI MStat PSB 2005 Problem 5 | Uniformity of Uniform This is a simple and elegant sample problem from ISI MStat PSB 2005 Problem 5. It's based the mixture of Discrete and Continuous Uniform Distribution, the simplicity in the problem actually fools us, and we miss subtle happenings. Be careful while thinking ! Read More July 4, 2020 ISI MStat PSB 2012 Problem 2 | Dealing with Polynomials using Calculus This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 2 based on solving polynomials using calculus . Let's give it a try !! Read More July 3, 2020 ISI MSTAT PSB 2011 Problem 4 | Digging deep into Multivariate Normal This is an interesting problem which tests the student's knowledge on how he visualizes the normal distribution in higher dimensions. Read More July 3, 2020 Functional Equation Problem from SMO, 2018 - Question 35 Try this problem from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. You may use sequential hints if required. Read More July 2, 2020 ISI MStat PSB 2012 Problem 5 | Application of Central Limit Theorem This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 5 based on the Application of Central Limit Theorem. Read More July 2, 2020 Arithmetic sequence | AMC 10A, 2015 | Problem 7 Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. You may use sequential hints to solve the problem. Read More July 2, 2020 Sequence and greatest integer | AIME I, 2000 | Question 11 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and the greatest integer. Read More July 1, 2020 Inscribed circle and perimeter | AIME I, 1999 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides. Read More July 1, 2020 Problem based on Cylinder | AMC 10A, 2015 | Question 9 Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. You may use sequential hints to solve the problem. Read More July 1, 2020 Series and sum | AIME I, 1999 | Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Series and sum. Read More June 30, 2020 Cubic Equation | AMC-10A, 2010 | Problem 21 Try this beautiful problem from Algebra, based on the Cubic Equation problem from AMC-10A, 2010. You may use sequential hints to solve the problem. Read More June 30, 2020 Median of numbers | AMC-10A, 2020 | Problem 11 Try this beautiful problem from Geometry based on Median of numbers from AMC 10A, 2020. You may use sequential hints to solve the problem. Read More June 30, 2020 LCM and Integers | AIME I, 1998 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1998, Problem 1, based on LCM and Integers. Read More June 29, 2020 Bayes comes to rescue | ISI MStat PSB 2007 Problem 7 This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 7. It's a very simple problem, which very much rely on conditioning and if you don't take it seriously, you will make thing complicated. Fun to think, go for it !! Read More June 29, 2020 Pen & Note Books Problem| PRMO-2017 | Question 8 Try this beautiful Pen & Note Books Problem from Algebra from PRMO 2017, Question 8. You may use sequential hints to solve the problem. Read More June 29, 2020 Rectangle Problem | Geometry | PRMO-2017 | Question 13 Try this beautiful Rectangle Problem from Geometry from PRMO 2017, Question 13. You may use sequential hints to solve the problem. Read More June 29, 2020 Problem on Fraction | AMC 10A, 2015 | Question 15 Try this beautiful Problem on Fraction from Algebra from AMC 10A, 2015. You may use sequential hints to solve the problem. Read More June 28, 2020 Integers | AIME I, 1993 Problem | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Integers. Use sequential hints if required. Read More June 28, 2020 Greatest Positive Integer | AIME I, 1996 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996, Question 2, based on Greatest Positive Integer. Read More June 27, 2020 ISI MStat Entrance Exam books based on Syllabus Are you preparing for ISI MStat Entrance Exams? Here is the list of useful books for ISI MStat Entrance Exam based on the syllabus. Read More June 27, 2020 Distance travelled | PRMO II 2019 | Question 26 Try this beautiful problem from the PRMO II, 2019, Question 26, based on Distance travelled. You may use sequential hints to solve the problem. Read More June 27, 2020 Sum of Digits base 10 | PRMO II 2019 | Question 7 Try this beautiful problem from the PRMO II, 2019 based on the Sum of Digits base 10. You may use sequential hints to solve the problem. Read More June 26, 2020 ISI MStat PSB 2008 Problem 8 | Bivariate Normal Distribution This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 8. It's a very simple problem, based on bivariate normal distribution, which again teaches us that observing the right thing makes a seemingly laborious problem beautiful . Fun to think, go for it !! Read More June 26, 2020 Trapezoid Problem | AIME I, 1992 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Rationals. Read More June 26, 2020 Circle | Geometry Problem | PRMO-2017 | Question 27 Try this beautiful Problem from Geometry based on Circle from PRMO 2017, Question 27. You may use sequential hints to solve the problem. Read More June 26, 2020 Chords in a Circle | PRMO-2017 | Question 26 Try this beautiful Problem based on Chords in a Circle, Geometry from PRMO 2017, Question 26. You may use sequential hints to solve the problem. Read More June 25, 2020 Side of Square | AMC 10A, 2013 | Problem 3 Try this beautiful problem from Geometry: Side of Square from AMC-10A (2013) Problem 3. You may use sequential hints to solve the problem. Read More June 25, 2020 Counting Days | AMC 10A, 2013 | Problem 17 Try this beautiful problem from Algebra based on Counting Days from AMC-10A (2013), Problem 17. You may use sequential hints to solve the problem. Read More June 24, 2020 ISI MStat PSB 2004 Problem 6 | Minimum Variance Unbiased Estimators This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 6. It's a very simple problem, and its simplicity is its beauty . Fun to think, go for it !! Read More June 24, 2020 ISI MStat PSB 2004 Problem 1 | Games and Probability This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 1. Games are best ways to understand the the role of chances in life, solving these kind of problems always indulges me to think and think more on the uncertainties associated with the system. Think it over !! Read More June 24, 2020 Chosing Program | AMC 10A, 2013 | Problem 7 Try this beautiful problem from Combinatorics based on Chosing Program from AMC-10A (2013), Problem 7. You may use sequential hints to solve the problem. Read More June 24, 2020 Order Pair | AMC-10B, 2012 | Problem 10 Try this beautiful problem from Algebra, based on Order Pair problem from AMC-10B, 2012. You may use sequential hints to solve the problem Read More June 24, 2020 ISI MStat PSB 2013 Problem 5 | Simple Random Sampling This is a sample problem from ISI MStat PSB 2013 Problem 5 based on the simple random sampling model, finding the unbiased estimates of the population size. Read More June 23, 2020 Shortest Distance | PRMO II 2019 | Question 27 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More June 23, 2020 Length of side of Triangle | PRMO II 2019 | Question 28 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More June 23, 2020 Acute angled Triangle | PRMO II 2019 | Question 29 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More June 23, 2020 ISI MStat PSB 2013 Problem 4 | Linear Regression This is a sample problem from ISI MStat PSB 2013 Problem 4. It is based on the simple linear regression model, finding the estimates, and MSEs. Read More June 22, 2020 ISI MStat PSB 2011 Problem 1 | Linear Algebra This is ISI MStat PSB 2011 Problem 1, based on patterns in matrices and determinants, and using a special kind of determinant decomposition. Try this out! Read More June 22, 2020 Triangle Area Problem | AMC-10A, 2009 | Problem 10 Try this beautiful problem from Geometry: The area of triangle AMC-10, 2009. You may use sequential hints to solve the problem Read More June 22, 2020 Side Length of Rectangle | AMC-10A, 2009 | Problem 17 Try this beautiful problem from Geometry: Side Length of Rectangle from AMC-10, 2009. You may use sequential hints to solve the problem Read More June 22, 2020 Missing Integers | PRMO II 2019 | Question 1 Try this beautiful problem from the Pre-RMO II 2019, based on Missing Integers. You may use sequential hints to solve the problem. Read More June 22, 2020 ISI MStat PSB 2014 Problem 9 | Hypothesis Testing This is a another beautiful sample problem from ISI MStat PSB 2014 Problem 9. It is based on testing simple hypothesis, but reveals and uses a very cute property of Geometric distribution, which I prefer calling sister to Loss of memory . Give it a try ! Read More June 21, 2020 ISI MStat PSB 2008 Problem 10 | Hypothesis Testing This is a really beautiful sample problem from ISI MStat PSB 2008 Problem 10. Its based on testing simple, hypothesis. According to, this problem teaches me how observation, makes life simple. Go for it! Read More June 21, 2020 Roots and coefficients of equations | PRMO 2017 | Question 4 Try this beautiful problem from the Pre-RMO, 2017 based on Roots and coefficients of equations. You may use sequential hints to solve the problem. Read More June 21, 2020 Number of ways | PRMO 2017 | Question 9 Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways. You may use sequential hints to solve the problem. Read More June 21, 2020 Number of ways of arrangement | PRMO 2017 | Question 10 Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways of arrangement. You may use sequential hints to solve the problem. Read More June 20, 2020 ISI MStat PSB 2010 Problem 2 | Combinatorics This is a beautiful sample problem from ISI MStat 2010 PSB Problem 2. This is based how one can find the number of isosceles triangles with sides of integer length one can construct, using simple counting principles . We provide detailed solution with prerequisites mentioned explicitly. Read More June 20, 2020 Real Numbers and Integers | PRMO 2017 | Question 2 Try this beautiful problem from the Pre-RMO, 2017 based on Real Numbers and Integers. You may use sequential hints to solve the problem. Read More June 20, 2020 Roots of Equation | PRMO 2017 | Question 19 Try this beautiful problem from the Pre-RMO, 2017 based on Roots of Equation. You may use sequential hints to solve the problem. Read More June 19, 2020 Problem on Cube | AMC 10A, 2008 | Problem 21 Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem. Read More June 19, 2020 Television Problem | AMC 10A, 2008 | Problem 14 Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem. Read More June 19, 2020 Area of Triangle | AMC 10A, 2006 | Problem 21 Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem. Read More June 18, 2020 Circle Problem | AMC 10A, 2006 | Problem 23 Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem. Read More June 18, 2020 Centroid Problem: Ratio of the areas of two Triangles Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem Read More June 17, 2020 Triangle Problem | AMC 10B, 2013 | Problem 16 Try this beautiful problem from Geometry - AMC-10 B (2013), Problem-16 based triangle. You may use sequential hints to solve the problem. Read More June 16, 2020 Number system | AMC-10A, 2007 | Problem 22 Try this beautiful problem from Number system, based on digits problem from AMC-10A, 2007. You may use sequential hints to solve the problem Read More June 16, 2020 Sum of reciprocals Problem | AMC-10A, 2003 | Problem 18 Try this beautiful problem from algebra, based on Sum of reciprocals in quadratic equation from AMC-10A, 2003. You may use sequential hints. Read More June 16, 2020 Non-Parallel lines | PRMO 2017 | Question 22 Try this beautiful problem from the Pre-RMO, 2017 based on Non-Parallel lines. You may use sequential hints to solve the problem. Read More June 16, 2020 Area of a part of circle | PRMO 2017 | Question 26 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More June 15, 2020 Area of Trapezium | AMC-10A, 2018 | Problem 24 Try this beautiful problem from Geometry: Area of Trapezium from AMC-10A, 2018. You may use sequential hints to solve the problem. Read More June 15, 2020 Problem on Equation | AMC-10A, 2007 | Problem 20 Try this beautiful problem from algebra, based on equation from AMC-10A, 2007. Problem-20,You may use sequential hints to solve the problem Read More June 15, 2020 Pen & Note Books Problem | PRMO-2019 | Question 16 Try this beautiful Problem from Algebra based on Pen & Note Books from PRMO 2019, Question 16. You may use sequential hints to solve the problem. Read More June 15, 2020 Quadratic equation Problem | AMC-10A, 2003 | Problem 5 Try this beautiful problem from algebra, based on the quadratic equation from AMC-10A, 2003. You may use sequential hints to solve the problem. Read More June 14, 2020 Sum of divisors and Integers | TOMATO B.Stat Objective 99 Try this TOMATO Objective Problem from I.S.I. B.Stat Entrance based on Sum of divisors and Integers. You may use sequential hints to solve the problem. Read More June 14, 2020 PRMO Open Test Open Mock Test Pre Regional Maths Olympiad (PRMO), India. Read More June 13, 2020 Sum of digits Problem | PRMO 2016 | Question 6 Try this beautiful problem from Number theory based on sum of digits from PRMO 2016. You may use sequential hints to solve the problem. Read More June 13, 2020 Divisibility and Integers | TOMATO B.Stat Objective 89 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Divisibility and Integers. You may use sequential hints to solve the problem. Read More June 12, 2020 Useless Data, Conditional Probability, and Independence | Cheenta Probability Series This concept of independence, conditional probability and information contained always fascinated me. I have thus shared some thoughts upon this. Read More June 12, 2020 Integer based Problem | PRMO-2018 | Question 20 Try this beautiful Integer-based Problem from Algebra from PRMO 2018, Question 20. You may use sequential hints to solve the problem. Read More June 12, 2020 Sum of two digit numbers | PRMO-2016 | Problem 7 Try this beautiful problem from Algebra, based on Sum of two digit numbers from PRMO 2016. You may use sequential hints to solve the problem. Read More June 12, 2020 Finding side of Triangle | PRMO-2014 | Problem 15 Try this beautiful problem from the Pre-Regional Mathematics Olympiad, PRMO, 2014, based on finding side of Triangle. You may use sequential hints. Read More June 11, 2020 Sets and Probability | B.Stat Objective Problems Try this problem from I.S.I. B.Stat Entrance Objective Problem from TOMATO based on Sets and Probability. You may use sequential hints to solve the problem. Read More June 11, 2020 Number Series | B.Stat Objective Problem We are going to discuss about Number Series from B.Stat Objective Problem . A student studying the weather for d days observed that(i) it rained on 7 days morning or afternoon, (ii) when it rained in the afternoon it was clear in the morning, (iii) there were five clear afternoons (iv) there were six clear […] Read More June 11, 2020 Numbers and Group | B.Stat Objective Problem Try this problem from I.S.I. B.Stat Entrance Objective Problem from TOMATO based on Numbers and Group. You may use sequential hints to solve the problem. Read More June 10, 2020 Number of Factors | TOMATO B.Stat Objective 95 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of Factors. You may use sequential hints to solve the problem. Read More June 10, 2020 Combinatorics and Integers | TOMATO B.Stat Objective 93 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective based on Combinatorics and Integers. You may use sequential hints to solve the problem. Read More June 10, 2020 Number of divisors and Integer | B.Stat Objective | TOMATO 83 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of divisors and Integer. You may use sequential hints. Read More June 10, 2020 Greatest Integer and remainder | TOMATO B.Stat Objective 113 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective based on Greatest Integer and remainder. You may use sequential hints. Read More June 9, 2020 The area of trapezoid | AMC 8, 2003 | Problem 21 Try this beautiful problem from Geometry: The area of a trapezoid from AMC-8 (2003). You may use sequential hints to solve the problem. Read More June 9, 2020 Prime Number for ISI BStat | TOMATO Objective 70 Try this beautiful problem from Prime number from TOMATO useful for ISI BStat Entrance. You may use sequential hints to solve the problem. Read More June 9, 2020 Hundred Integers | ISI-B.Stat Entrance | TOMATO 82 Try this beautiful Hundred Integers problem on Number system from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More June 9, 2020 Largest area Problem | AMC 8, 2003 | Problem 22 Try this beautiful problem from AMC 8, 2003, problem no-22 based on Largest area. You may use sequential hints to solve the problem. Read More June 8, 2020 ISI MStat 2019 PSA Problem 15 | Trigonometry Problem This is the problem from ISI MStat 2019 PSA Problem 15. First, try it yourself and then go through the sequential hints we provide. Read More June 8, 2020 ISI MStat 2019 PSA Problem 14 | Reflection of a point This is a problem from ISI MStat 2019 PSA Problem no. 14. First, try the problem yourself, then go through the sequential hints we provide. Read More June 8, 2020 ISI MStat 2015 PSA Problem 17 | Basic Inequality This is a problem from ISI MStat 2015 PSA Problem 17. First, try the problem yourself, then go through the sequential hints we provide. Read More June 8, 2020 ISI MStat 2016 PSA Problem 9 | Equation of a circle This is a beautiful problem from ISI MSTAT 2016 PSA problem 9 based on Equation of a circle . We provide sequential hints so that you can try . Read More June 8, 2020 ISI MStat 2015 PSA Problem 18 | Complex Number This is a beautiful problem from ISI MSTAT 2015 PSA problem 18 based on complex number . We provide sequential hints so that you can try . Read More June 8, 2020 ISI MStat 2019 PSA Problem 12 | Domain of a function This is a beautiful problem from ISI MSTAT 2019 problem 12 based on finding the domain of the function .We provide sequential hints so that you can try . Read More June 8, 2020 Number of points | TOMATO B.Stat Objective 713 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of points. You may use sequential hints. Read More June 8, 2020 Number of divisors and Integers | TOMATO B.Stat Objective 97 Try this TOMATO Objective Problem from I.S.I. B.Stat Entrance based on Number of divisors and Integers. You may use sequential hints to solve the problem. Read More June 7, 2020 Derivative Problem | TOMATO BStat Objective 764 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints. Read More June 7, 2020 Surface area of Cube Problem | AMC-10A, 2007 | Problem 21 Try this beautiful problem from Geometry, based on Cube from AMC-10A, 2007. You may use sequential hints to solve the problem Read More June 6, 2020 Angles and Triangles | AIME I, 2012 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Angles and Triangles. Read More June 6, 2020 Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25 Try this problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A, 2005 You may use sequential hints to solve the problem. Read More June 6, 2020 Digits and Numbers | AIME I, 2012 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Digits and Numbers. Read More June 5, 2020 Largest Common Divisor | PRMO-2014 | Problem 11 Try this beautiful problem from Geometry based on Try this beautiful problem from Algebra based on Largest Common Divisor . from PRMO 2014. You may use sequential hints to solve the problem. Read More June 5, 2020 AP GP Problem | AMC-10A, 2004 | Question 18 Try this beautiful problem from Algebra based on AP GP from AMC-10A, 2004. You may use sequential hints to solve the problem. Read More June 5, 2020 Greatest Common Divisor | AMC-10A, 2018 | Problem 22 Try this beautiful problem from ALGEBRA: Greatest Common Divisor AMC-10A, 2018. You may use sequential hints to solve the problem Read More June 5, 2020 Area of the Octagon | AMC-10A, 2005 | Problem 20 Try this beautiful problem from Geometry:Area of Octagon.AMC-10A, 2005. You may use sequential hints to solve the problem Read More June 5, 2020 Prime number Problem | ISI BStat | TOMATO Objective 96 Try this beautiful problem from Prime number from TOMATO useful for ISI B.Stat Entrance.You may use sequential hints to solve the problem. Read More June 4, 2020 ISI MStat 2019 PSA Problem 16 | Area bounded by the curve This is a beautiful problem from ISI MSAT 2019 PSA problem 16 based on Area bounded by the curve .We provide sequential hints so that you can try . Read More June 4, 2020 ISI MStat 2018 PSA Problem 11 | Sequence & it's subsequence This is a beautiful problem from ISI MSAT 2018 PSA problem 11 based on Sequence . We provide sequential hints so that you can try . Read More June 4, 2020 ISI MStat 2018 PSA Problem 8 | Limit of a Function This is a beautiful problem from ISI MSAT 2018 PSA problem 8 based on limit . We provide sequential hints so that you can try . Read More June 4, 2020 ISI MStat 2018 PSA Problem 10 | Dirichlet Function This is a beautiful problem from ISI MSAT 2018 PSA problem 10 based on Dirichlet Function. We provide sequential hints so that you can try . Read More June 4, 2020 ISI MStat 2018 PSA Problem 7 | Continuous Function This is a beautiful problem from ISI MSAT 2018 PSA problem 7 based on Continuous Funtion. We provide sequential hints so that you can try . Read More June 4, 2020 ISI MStat 2018 PSA Problem 12 | Sequence of positive numbers This is a beautiful problem from ISI MSAT 2018 PSA problem 12 based on Sequence of positive numbers. We provide sequential hints so that you can try . Read More June 2, 2020 Derivative of Function Problem | TOMATO BStat Objective 756 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem. Read More June 2, 2020 ISI MStat 2019 PSA Problem 22 | Basic Probability This is a beautiful problem from ISI MSAT 2018 PSA problem 13 based on basic counting principles . We provide sequential hints so that you can try . Read More June 2, 2020 ISI MStat 2018 PSA Problem 13 | Probability of functions This is a beautiful problem from ISI MStat 2018 PSA problem 13 based on basic probability of functions. We provide sequential hints so that you can try . Read More June 2, 2020 ISI MStat 2018 PSA Problem 14 | All possible colorings Try this problem from ISI MStat 2018 PSA Problem 14 based on all possible colorings. We provide sequential hints to help you solve the problem. Read More June 2, 2020 ISI MStat 2019 PSA Problem 11 | Multiplication Principle This is a beautiful problem from ISI MSTAT 2019 PSA problem 11 based on basic counting principles . We provide sequential hints so that you can try . Read More June 1, 2020 ISI MStat PSA 2019 Problem 6 | Basic Counting principles This is a beautiful problem from ISI MSTAT 2019 PSA problem 6 based on basic counting principles . We provide sequential hints so that you can try . Read More June 1, 2020 Lengths of Rectangle Problem | AMC-10A, 2009 | Problem 14 Try this beautiful problem from Geometry based on lengths of the rectangle from AMC-10A, 2009. You may use sequential hints to solve the problem. Read More June 1, 2020 Probability in Divisibility | AMC-10A, 2003 | Problem 15 Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. You may use sequential hints to solve the problem. Read More May 31, 2020 ISI MStat 2019 PSA Problem 4 | Basic counting principle This is a beautiful problem from ISI MSTAT 2019 PSA problem 4 based on basic counting principles . We provide sequential hints so that you can try . Read More May 31, 2020 Function Problem | AIME I, 1988 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on function. You may use sequential hints. Read More May 31, 2020 Area of a triangle | PRMO 2017 | Question 25 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More May 31, 2020 Problem on Fibonacci sequence | AIME I, 1988 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence. Read More May 28, 2020 ISI MStat PSA 2019 Problem 17 | Limit of a function This is a beautiful problem from ISI Mstat 2019 PSA problem 17 based on limit of a function. We provide sequential hints so that you can try this . Read More May 28, 2020 ISI MStat PSA 2019 Problem 18 | Probability and Digits This problem is a very easy and cute problem of probability from ISI MStat 2019 PSA Problem 18. Read More May 28, 2020 Solving Equation | PRMO 2017 | Question 23 Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem. Read More May 28, 2020 Reflection Problem | AIME I, 1988 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 14, based on Reflection. Read More May 27, 2020 ISI MStat PSB 2018 Problem 1 | System of Linear Equations This is a beautiful sample problem from ISI MStat 2018 PSB Problem 1. This is based on finding the real solution of a system of homogeneous equations . We provide detailed solution with prerequisites mentioned explicitly. Read More May 27, 2020 Ordered Pairs | PRMO-2019 | Problem 18 Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem. Read More May 27, 2020 Maximum area | PRMO-2019 | Problem 23 Try this beautiful Geometry problem from PRMO, 2019, problem-23, based on finding the maximum area. You may use sequential hints to solve the problem. Read More May 27, 2020 Rectangle Pattern | AMC-10A, 2016 | Problem 10 Try this beautiful problem from Geometry based on Rectangle Pattern from AMC-10A, 2016, Problem 10. You may use sequential hints to solve the problem. Read More May 27, 2020 Ratio of Circles | AMC-10A, 2009 | Problem 21 Try this beautiful problem from Geometry: Ratio of area of Circles from AMC-10A, 2009, Problem 21. You may use sequential hints to solve the problem. Read More May 27, 2020 Problem on Complex plane | AIME I, 1988| Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 11, based on Complex plane. Read More May 27, 2020 Derivative of Function Problem | TOMATO BStat Objective 757 Try this I.S.I. B.Stat Entrance Objective Problem from TOMATO based on a derivative of Function. You may use sequential hints to solve the problem. Read More May 26, 2020 ISI MStat PSB 2015 Question 8 | MLE & amp | Stochastic Regression This is a problem involving BLUE for regression coefficients and MLE of a regression coefficient for a particular case of the regressors. Read More May 25, 2020 ISI MStat Entrance is not just an Examination. How to Prepare for it? From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam. Read More May 25, 2020 ISI MStat PSB 2015 Problem 2 | Vector Space & its Dimension This is a beautiful problem from ISI MStat 2015 PSB . We provide detailed solution with prerequisite mentioned explicitly . Read More May 21, 2020 Derivative of Function Problem | TOMATO BStat Objective 759 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem. Read More May 21, 2020 Probability in Game | AMC-10A, 2005 | Problem 18 Try this beautiful problem based on Probability in game from AMC-10A, 2005. You may use sequential hints to solve the problem. Read More May 21, 2020 Discontinuity Problem | ISI B.Stat Objective | TOMATO 734 Try this beautiful problem based on Discontinuity from TOMATO 730 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More May 21, 2020 Quadratic Equation Problem | AMC-10A, 2005 | Problem 10 Try this beautiful problem from algebra, based on Quadratic equation from AMC-10A, 2005. You may use sequential hints to solve the problem. Read More May 21, 2020 Covex Cyclic Quadrilateral | PRMO 2019 | Question 23 Try this beautiful problem from the Pre-RMO, 2019 based on Covex Cyclic Quadrilateral. You may use sequential hints to solve the problem. Read More May 20, 2020 Ordered triples | PRMO 2017 | Question 21 Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem. Read More May 20, 2020 Ratio of the areas | PRMO-2019 | Problem 19 Try this beautiful problem from PRMO, 2019, problem-19, based on the Ratio of the areas. You may use sequential hints to solve the problem. Read More May 20, 2020 Area of the Inner Square | AMC-10A, 2005 | Problem 8 Try this beautiful problem from Geometry: Area of the inner square AMC-10A, 2005, Problem-8. You may use sequential hints to solve the problem. Read More May 20, 2020 Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25 Try this beautiful problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A. You may use sequential hints to solve the problem. Read More May 20, 2020 Problem on Real Numbers | AIME I, 1990| Question 15 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on real numbers. Use sequential hints if required. Read More May 20, 2020 Digits and Integers | AIME I, 1990 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Digits and Integers. Read More May 19, 2020 ISI MStat 2016 Problem 1 | Area bounded by the curves | PSB Sample This is a beautiful problem from ISI MStat 2016 PSB (sample) Problem 1 based on area bounded by the curves. We provide a detailed solution with the prerequisites mentioned explicitly. Read More May 19, 2020 Complex numbers and Sets | AIME I, 1990 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Complex numbers and Sets. Read More May 19, 2020 Consecutive positive Integers | AIME I, 1990| Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Consecutive Positive Integers. Read More May 19, 2020 Derivative of Function | TOMATO BStat Objective 767 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem. Read More May 19, 2020 Logarithm Problem From SMO, 2011 | Problem 7 Try this beautiful Logarithm Problem From Singapore Mathematics Olympiad, SMO, 2011 (Problem 7). You may use sequential hints to solve the problem. Read More May 19, 2020 Sides of Quadrilateral | PRMO 2017 | Question 20 Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem. Read More May 18, 2020 Kernel of a linear transformation | ISI MStat 2016 Problem 4 | PSB Sample This is a beautiful problem from ISI MStat 2016 PSB (sample) based on Vectorspace . It uses several concepts to solve it . We provide detailed solution with prerequisites mentioned explicitly . Read More May 18, 2020 Pentagon & Square Pattern | AMC-10A, 2001 | Problem 18 Try this beautiful problem from Geometry based on pentagon and square pattern from AMC-10A, 2001. You may use sequential hints to solve the problem. Read More May 18, 2020 Fair coin Problem | AIME I, 1990 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Fair Coin Problem. Read More May 18, 2020 Problem on Limit | ISI B.Stat Objective | TOMATO 728 Try this beautiful problem based on calculas from TOMATO 728 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More May 18, 2020 Real valued function | ISI B.Stat Objective | TOMATO 690 Try this beautiful problem based on Real valued function from TOMATO 690 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More May 18, 2020 Sum of the numbers | AMC-10A, 2001 | Problem 16 Try this beautiful problem from algebra, based on Sum of the numbers from AMC-10A, 2001. You may use sequential hints to solve the problem. Read More May 18, 2020 Convex polyhedron Problem | AIME I, 1988 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament. Read More May 17, 2020 ISI MStat 2016 (Sample) Problem 2 | Continuous function | PSB This is a beautiful sample problem from ISI MStat 2016 PSB Problem 2.This is based on application of continuity and integration . Read More May 17, 2020 Ordered pair Problem | AIME I, 1987 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Ordered pair. You may use sequential hints. Read More May 17, 2020 Circular Cylinder Problem | AMC-10A, 2001 | Problem 21 Try this beautiful problem from Geometry: circular cylinder from AMC-10A, 2001. You may use sequential hints to solve the problem. Read More May 17, 2020 Positive divisor | AIME I, 1988 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament. Read More May 17, 2020 Derivative of Function | TOMATO BStat Objective 763 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on derivative of Function. You may use sequential hints to solve the problem. Read More May 17, 2020 Area of the Region Problem | AMC-10A, 2007 | Problem 24 Try this beautiful problem from Geometry: Area of region from AMC-10A, 2007, Problem-24. You may use sequential hints to solve the problem. Read More May 17, 2020 Algebraic Equation | AMC-10A, 2001 | Problem 10 Try this beautiful problem from algebra, based on algebraic equations from AMC-10A, 2001. You may use sequential hints to solve the problem. Read More May 16, 2020 Trace & Determinant | ISI MStat 2017 Problem 1 | PSB This is a beautiful problem from ISI MStat 2017 PSB based on matrices . We provide details solution with the prerequisites mentioned explicilty. Read More May 16, 2020 Head Tail Problem | AIME I, 1986 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Head Tail Problem. Read More May 16, 2020 Expansion Problem | ISI B.Stat Objective | TOMATO 102 Try this beautiful problem based on expansion from TOMATO 102 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More May 16, 2020 Rearrangement Problem | PRMO 2019 | Question 27 Try this beautiful problem from the Pre-RMO, 2019 based on the Diameter of a circle. You may use sequential hints to solve the problem. Read More May 16, 2020 Natural Numbers Problem | PRMO 2019 | Question 30 Try this beautiful problem from the Pre-RMO, 2019 based on natural numbers. You may use sequential hints to solve the problem. Read More May 16, 2020 Arranging in column | AIME I, 1990 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle. Read More May 16, 2020 Surface Area Problem | TOMATO BStat Objective 725 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints. Read More May 15, 2020 ISI MStat 2016 Problem 5 | Order Statistics | PSB Sample This is a beautiful problem ISI MStat 2016 (sample) PSB based on order statistics . We provide detailed solution with the prerequisites mentioned explicitly. Read More May 15, 2020 Sum of the digits | AMC-10A, 2007 | Problem 25 Try this beautiful problem from algebra, based on Sum of the digits from AMC-10A, 2007. You may use sequential hints to solve the problem Read More May 15, 2020 Integers and Divisors | ISI-B.Stat Entrance | TOMATO 98 Try this beautiful problem based on Integers and Divisors from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More May 15, 2020 Problem on Circumscribed Circle | AMC-10A, 2003 | Problem 17 Try this beautiful problem from Geometry:Radius of a circle.AMC-10A, 2003. You may use sequential hints to solve the problem Read More May 15, 2020 Medians of triangle | PRMO-2018 | Problem 10 Try this beautiful problem from Geometry based on medians of triangle from PRMO 2018. You may use sequential hints to solve the problem. Read More May 15, 2020 Sum of Co-ordinates | AMC-10A, 2014 | Problem 21 Try this beautiful sum of Co-ordinates based on co-ordinate Geometry from AMC-10A, 2014. You may use sequential hints to solve the problem. Read More May 15, 2020 Area of Hexagon Problem | AMC-10A, 2014 | Problem 13 Try this beautiful problem from Geometry based on Hexagon from AMC-10A, 2014. You may use sequential hints to solve the problem Read More May 14, 2020 Hyperbola & Tangent | ISI MStat 2016 Problem 1 | PSB Sample This is a beautiful problem from ISI MStat 2016 (sample ) PSB Problem 1. This is based on finding the minimum value of a function subjected to the restriction . Read More May 14, 2020 Diameter of a circle | PRMO 2019 | Question 25 Try this beautiful problem from the Pre-RMO, 2019 based on the Diameter of a circle. You may use sequential hints to solve the problem. Read More May 14, 2020 Problem on Positive Integers | PRMO-2019 | Problem 26 Try this beautiful problem from Algebra based on positive integers from PRMO 2019. You may use sequential hints to solve the problem. Read More May 14, 2020 Combination of Equations | SMO, 2010 | Problem No. 7 Try this beautiful problem from Singapore Mathematical Olympiad, SMO, 2010 - Problem 7 based on the combination of equations. Read More May 14, 2020 Largest Possible Value | PRMO-2019 | Problem 17 Try this beautiful problem from PRMO, 2019, problem-17, based on Largest Possible Value Problem. You may use sequential hints to solve the problem. Read More May 14, 2020 Sign change | ISI-B.stat | Objective Problem 709 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sign change. You may use sequential hints to solve the problem. Read More May 14, 2020 Limit Problem | ISI-B.stat | Objective Problem 694 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Calculus. You may use sequential hints to solve the problem. Read More May 13, 2020 Combinatorics in Tournament | AIME I, 1985 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament. Read More May 13, 2020 Maximum and Minimum Element | TOMATO BStat Objective 715 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Maximum and Minimum Element. You may use sequential hints. Read More May 13, 2020 Problem on Function | TOMATO BStat Objective 720 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on function. You may use sequential hints to solve the problem. Read More May 13, 2020 Interior Angle Problem | AIME I, 1990 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle. Read More May 13, 2020 Smallest positive Integer Problem | AIME I, 1990 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Smallest positive Integer. Read More May 13, 2020 Proper divisors | AIME I, 1986 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Proper divisors. Read More May 12, 2020 Algebraic value | AIME I, 1990 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Algebraic value. Read More May 12, 2020 Dice Problem | AMC-10A, 2011 | Problem 14 Try this beautiful problem from Probability based on dice from AMC-10A, 2011. You may use sequential hints to solve the problem Read More May 12, 2020 Area of Region in a Circle | AMC-10A, 2011 | Problem 18 Try this beautiful problem from Geometry: Area of Region in a Circle from AMC-10A, 2011, Problem -18. You may use sequential hints to solve the problem. Read More May 12, 2020 Positive solution | AIME I, 1990 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Positive solution. Read More May 12, 2020 Smallest positive value | Algebra | PRMO-2019 | Problem 13 Try this beautiful problem from Algebra based smallest positive value from PRMO 2019. You may use sequential hints to solve the problem. Read More May 12, 2020 Regular polygon | Combinatorics | PRMO-2019 | Problem 15 Try this beautiful problem from combinatorics based on Regular Polygon from PRMO 2019. You may use sequential hints to solve the problem. Read More May 11, 2020 Greatest Integer | PRMO 2019 | Question 22 Try this beautiful problem from the Pre-RMO, 2019 based on Greatest Integer. You may use sequential hints to solve the problem. Read More May 11, 2020 Parallelogram Problem | AIME I, 1996 | Question 15 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Parallelogram Problem. Read More May 11, 2020 Good numbers Problem | PRMO-2019 | Problem 12 Try this beautiful problem from PRMO, 2019, problem-12, based on Integer Problem. You may use sequential hints to solve the problem. Read More May 11, 2020 Graph in Calculus | ISI-B.stat | Objective Problem 699 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Graph in Calculus. You may use sequential hints to solve the problem. Read More May 11, 2020 Set of real numbers | TOMATO B.Stat Objective 714 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Set of real numbers. You may use sequential hints. Read More May 11, 2020 Right Rectangular Prism | AIME I, 1995 | Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Right Rectangular Prism. Read More May 10, 2020 ISI MStat 2016 Problem 10 | PSB Sample | It's a piece of cake! This is a problem from ISI MStat 2016 sample paper which tests the student's ability to write a model and then test the equality of parameters in it using appropriate statistics. Read More May 10, 2020 Sectors in Circle | AMC-10A, 2012 | Problem 10 Try this beautiful problem from Geometry: Sectors in Circle from AMC-10A, 2012. You may use sequential hints to solve the problem Read More May 10, 2020 Sum of whole numbers | AMC-10A, 2012 | Problem 8 Try this beautiful problem from Algebra: Sum of whole numbers from AMC-10A, 2012. You may use sequential hints to solve the problem Read More May 10, 2020 Pyramid with Square base | AIME I, 1995 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Pyramid with Square base. Read More May 10, 2020 Repeatedly Flipping a Fair Coin | AIME I, 1995| Question 15 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Repeatedly Flipping a Fair Coin. Read More May 10, 2020 Problem on Largest Prime Factor | PRMO 2019 | Question 21 Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem. Read More May 10, 2020 Number of roots Problem | TOMATO B.Stat Objective 712 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of roots. You may use sequential hints. Read More May 9, 2020 Trigonometry Simplification | SMO, 2009 | Problem 26 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Trigonometry Simplification. You may use sequential hints. Read More May 9, 2020 Roots of Equation | TOMATO B.Stat Objective 711 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Periodic Function. You may use sequential hints. Read More May 9, 2020 Sum of digits | PRMO 2019 | Question 20 Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem. Read More May 9, 2020 Smallest positive Integer | AIME I, 1993 | Question 6 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Smallest positive Integer. Read More May 9, 2020 Equation of X and Y | AIME I, 1993 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Equation of X and Y. Read More May 9, 2020 Area of quadrilateral | AMC-10A, 2020 | Problem 20 Try this beautiful problem from Geometry: Area of quadrilateral from AMC-10A, 2020. You may use sequential hints to solve the problem. Read More May 8, 2020 Tetrahedron Problem | AMC-10A, 2011 | Problem 24 Try this beautiful problem from Geometry:Tetrahedron box from AMC-10A, 2011. You may use sequential hints to solve the problem Read More May 8, 2020 Problem from Inequality | PRMO-2018 | Problem 23 Try this beautiful problem from PRMO, 2018 based on Algebra: Inequality You may use sequential hints to solve the problem. Read More May 8, 2020 Periodic Function | TOMATO B.Stat Objective 710 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Periodic Function. You may use sequential hints. Read More May 8, 2020 Largest Area of Triangle | AIME I, 1992 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Largest Area of Triangle. Read More May 8, 2020 Direction & Angles | PRMO-2019 | Problem 4 Try this beautiful problem from PRMO, 2019, problem-4, based on Geometry: Direction & Angles. You may use sequential hints to solve the problem. Read More May 8, 2020 Negative & Positive Roots | ISI-B.stat | Objective Problem 708 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Negative & Positive Roots. You may use sequential hints to solve the problem. Read More May 7, 2020 Problem on Calculus | ISI-B.stat | Objective Problem 696 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Calculus. You may use sequential hints to solve the problem. Read More May 7, 2020 Rearrangement Problem | TOMATO B.Stat Objective 125 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and Roots. You may use sequential hints. Read More May 7, 2020 Problem on Equilateral Triangle | AMC-10A, 2010 | Problem 14 Try this beautiful Geometry Problem on Equilateral Triangle from AMC-10A, 2010.You may use sequential hints to solve the problem. Read More May 7, 2020 Cubical Box | AMC-10A, 2010 | Problem 20 Try this beautiful problem from Geometry:cubical box from AMC-10A, 2010. You may use sequential hints to solve the problem Read More May 7, 2020 Graphs in Calculus | ISI-B.stat | Objective Problem 698 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Graphs in Calculus. You may use sequential hints to solve the problem. Read More May 7, 2020 Roots of cubic equation | AMC-10A, 2010 | Problem 21 Try this beautiful problem from Algebra:Roots of cubic equation from AMC-10A, 2010. You may use sequential hints to solve the problem Read More May 6, 2020 CLT and Confidence Limits | ISI MStat 2016 PSB Problem 8 This is a problem from ISI MStat Examination 2016. This primarily tests the student's knowledge in finding confidence intervals and using the Central Limit Theorem as an useful approximation tool. Read More May 6, 2020 GP and 2-digit number | PRMO 2017 | Question 16 Try this beautiful problem from the Pre-RMO, 2017 based on GP and 2-digit number. You may use sequential hints to solve the problem. Read More May 6, 2020 Medians | Geometry | PRMO-2018 | Problem 13 Try this beautiful problem from PRMO, 2018 based on Geometry. You may use sequential hints to solve the problem. Read More May 6, 2020 Quadratic equation | ISI-B.stat | Objective Problem 240 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Quadratic Equation. You may use sequential hints to solve the problem. Read More May 6, 2020 Hexagon Problem | Geometry | AMC-10A, 2010 | Problem 19 Try this beautiful problem from Geometry: Hexagon from AMC-10A, 2010. You may use sequential hints to solve the problem. Read More May 6, 2020 Altitudes of triangle | PRMO 2017 | Question 17 Try this beautiful problem from the Pre-RMO, 2017 based on Altitudes of triangle. You may use sequential hints to solve the problem. Read More May 6, 2020 Digits and Rationals | AIME I, 1992 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Rationals. Read More May 5, 2020 Sum of digits | AMC-10A, 2020 | Problem 8 Try this beautiful problem from Algebra, based on Sum of digits from AMC-10A, 2020. You may use sequential hints to solve the problem Read More May 5, 2020 Integer Problem | AMC 10A, 2020 | Problem 17 Try this beautiful problem from Number theory based on Integer from AMC-10A, 2020. You may use sequential hints to solve the problem. Read More May 5, 2020 Average and Integers | PRMO 2017 | Question 15 Try this beautiful problem from the Pre-RMO, 2017 based on Average and Integers. You may use sequential hints to solve the problem. Read More May 5, 2020 Problem on Probability from SMO, 2012 | Problem 33 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2012 based on Probability. You may use sequential hints to solve the problem. Read More May 5, 2020 Equations and Roots | TOMATO B.Stat Objective 123 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and Roots. You may use sequential hints. Read More May 5, 2020 Row of Pascal Triangle | AIME I, 1992 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Row of Pascal Triangle. Read More May 5, 2020 Life Testing Experiment | ISI MStat 2017 PSB Problem 5 This is a problem from the ISI MStat 2017 Entrance Examination and tests how good are your skills in modelling a life testing experiment using exponential distribution. Read More May 5, 2020 Unbiased, Pascal and MLE | ISI MStat 2019 PSB Problem 7 This is a problem from the ISI MStat Entrance Examination,2019 involving the MLE of the population size and investigating its unbiasedness. Read More May 5, 2020 Vandermone's SRSWR | MStat 2017 PSB Problem 3 This is a problem from ISI MStat 2017 PSB Problem 3, where we use the basics of Bijection principle and Vandermone's identity to solve this problem. Read More May 4, 2020 Time & Work Problem | PRMO-2017 | Problem 3 Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2017 based on Time & Work. You may use sequential hints to solve the problem. Read More May 4, 2020 Problem on Balls | ISI-B.stat | Objective Problem 128 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on balls. You may use sequential hints to solve the problem. Read More May 4, 2020 Digits and Order | AIME I, 1992 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Order. Read More May 4, 2020 Sets and Integers | TOMATO B.Stat Objective 121 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Sets and Integers. You may use sequential hints. Read More May 4, 2020 Ratio and Inequalities | AIME I, 1992 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Ratio and Inequalities. Read More May 4, 2020 Problem on Geometric Progression | PRMO 2017 | Question 14 Try this beautiful problem from the Pre-RMO, 2017 based on Geometric Progression. You may use sequential hints to solve the problem. Read More May 4, 2020 Let's Permute | ISI MStat 2018 PSB Problem 3 This problem is an easy application of the basic algorithmic ideas to approach a combinatorics problem using permutation and combination and basic counting principles. Enjoy this problem 3 from ISI MStat 2018 PSB. Read More May 3, 2020 Problem on Area of Trapezoid | AMC-10A, 2002 | Problem 25 Try this beautiful problem from Geometry: Area of Trapezoid from AMC-10A, 2002. You may use sequential hints to solve the problem. Read More May 3, 2020 Ratio Of Two Triangles | AMC-10A, 2004 | Problem 20 Try this beautiful problem from AMC-10A, 2004 based on ratio of two triangles.You may use sequential hints to solve the problem. Read More May 3, 2020 Quadratic equation Problem | AMC-10A, 2002 | Problem 12 Try this beautiful problem from Algebra on Quadratic equation from AMC-10A, 2002. You may use sequential hints to solve the problem. Read More May 3, 2020 Arbitrary Arrangement | TOMATO B.Stat Objective 119 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Arbitrary Arrangement. You may use sequential hints. Read More May 3, 2020 Remainders and Functions | AIME I, 1994 | Question 7 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Remainders and Functions. Read More May 3, 2020 Problem on Rational Numbers | AIME I, 1992 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Rational Numbers. Read More May 3, 2020 Telescopic Continuity | ISI MStat 2015 PSB Problem 1 This problem is a simple application of the sequential definition of continuity from ISI MStat 2015 PSB Problem 1. Read More May 3, 2020 Invariant Regression Coefficient | ISI MStat 2019 PSB Problem 8 This is a problem from ISI MStat Examination,2019. This tests one's familiarity with the simple and multiple linear regression model and estimation of model parameters and is based on the Invariant Regression Coefficient. Read More May 2, 2020 Size, Power, and Condition | ISI MStat 2019 PSB Problem 9 This is a problem from the ISI MStat Entrance Examination, 2019. This primarily tests one's familiarity with size, power of a test and whether he/she is able to condition an event properly. Read More May 2, 2020 Points of Equilateral triangle | AIME I, 1994 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Points of Equilateral triangle. Read More May 2, 2020 Problem on Real numbers | Algebra | PRMO-2017 | Problem 18 Try this beautiful problem from Algebra based on real numbers from PRMO 2017. You may use sequential hints to solve the problem. Read More May 2, 2020 Problem on Ratio | PRMO 2017 | Question 12 Try this beautiful problem from the Pre-RMO, 2017 based on ratio and proportion. You may use sequential hints to solve the problem. Read More May 2, 2020 Largest possible value | AMC-10A, 2004 | Problem 15 Try this beautiful problem from Number Theory based on largest possible value from AMC-10A, 2004. You may use sequential hints to solve the problem. Read More May 2, 2020 Problem on Cylinder | AMC-10A, 2004 | Problem 11 Try this beautiful problem from AMC 10A, 2004 based on Mensuration: Cylinder. You may use sequential hints to solve the problem. Read More May 2, 2020 Length of a Tangent | AMC-10A, 2004 | Problem 22 Try this beautiful problem from AMC-10A, 2004 based on Triangle. You may use sequential hints to solve the problem. Read More May 2, 2020 Shift the Curves | ISI MStat 2019 PSB Problem 1 This problem is an easy application in calculus using the basic ideas of curve sketching. This is the problem 1 from ISI MStat 2019 PSB. Read More May 1, 2020 Neyman Welcomes You | ISI MStat 2018 PSB Problem 8 This is a problem from ISI MStat Examination,2018. It involves construction of a most powerful test of size alpha using Neyman Pearson Lemma. The aim is to find its critical region in terms of quantiles of a standard distribution. Read More May 1, 2020 Conditions and Chance | ISI MStat 2018 PSB Problem 5 This problem is a cute application of joint distribution and conditional probability. This is the problem 5 from ISI MStat 2018 PSB. Read More May 1, 2020 Binomial Expression | TOMATO B.Stat Objective 117 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Binomial Expression. You may use sequential hints to solve the problem. Read More May 1, 2020 Right angled triangle | AIME I, 1994 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Right angled triangle. Read More May 1, 2020 Perfect square and Positive Integer | TOMATO B.Stat Objective 115 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Perfect square and Positive Integer. You may use sequential hints. Read More May 1, 2020 Complex roots and equations | AIME I, 1994 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Complex roots and equations. Read More May 1, 2020 Length and Inequalities | AIME I, 1994 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Length and Inequalities. Read More May 1, 2020 Trigonometry & natural numbers | PRMO 2017 | Question 11 Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers. You may use sequential hints to solve the problem. Read More April 30, 2020 Integer Problem | ISI BStat | Objective Problem 156 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance from Integer based on divisibility. You may use sequential hints. Read More April 30, 2020 Probability | AMC-10A, 2003 | Problem 8 Try this beautiful problem from Probability: positive factors AMC-10A, 2003. You may use sequential hints to solve the problem Read More April 30, 2020 Numbers on cube | AMC-10A, 2007 | Problem 11 Try this beautiful problem from AMC 10A, 2007 based on Numbers on cube. You may use sequential hints to solve the problem. Read More April 30, 2020 Pairs of Positive Integer | ISI-B.stat | Objective Problem 178 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Pairs of Positive Integer. You may use sequential hints. Read More April 30, 2020 Quadratic equation | ISI-B.stat | Objective Problem 198 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Quadratic equation You may use sequential hints. Read More April 30, 2020 Symmetry, Counting, and Partition | ISI MStat PSB 2015 Problem 4 This problem is an application of the non negative integer solution and the symmetry argument. This is from ISI MStat 2015 PSB Problem 4. Read More April 29, 2020 Application of Cauchy Functional Equations | ISI MStat 2019 PSB Problem 4 This problem is a beautiful application of the probability theory and cauchy functional equation. This is from ISI MStat 2019 PSB problem 4. Read More April 29, 2020 GCD and Ordered pair | AIME I, 1995 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on GCD and Ordered pair. Read More April 29, 2020 Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 2a Try this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem. Read More April 29, 2020 Integers and Inequality | PRMO 2017 | Question 7 Try this beautiful problem from the Pre-RMO, 2017 based on Integers and Inequality. You may use sequential hints to solve the problem. Read More April 29, 2020 Problem on Permutation | SMO, 2011 | Problem No. 24 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2011 based on Permutation. You may use sequential hints to solve the problem. Read More April 29, 2020 Diamond Pattern | AMC-10A, 2009 | Problem 15 Try this beautiful problem from AMC-10A, 2009 based on Diamond Pattern. You may use sequential hints to solve the problem. Read More April 28, 2020 Problem on Digits | TOMATO B.Stat Objective 111 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Problem on Digits. You may use sequential hints to solve the problem. Read More April 28, 2020 Problem on Positive Integer | AIME I, 1995 | Question 6 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles. Read More April 28, 2020 Series Problem | PRMO 2017 | Question 6 Try this beautiful problem from the Pre-RMO, 2017 based on Series Problem. You may use sequential hints to solve the problem. Read More April 28, 2020 Trigonometry and greatest integer | AIME I, 1997 | Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Trigonometry and greatest integer. Read More April 28, 2020 Trigonometry and positive integers | AIME I, 1995 | Question 7 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Trigonometry and positive integers. Read More April 28, 2020 Central Limit Theorem by Simulation ( R Studio) This post verifies central limit theorem with the help of simulation in R for distributions of bernoulli, uniform and poisson. Read More April 28, 2020 Data, Determinant and Simplex This problem is a beautiful problem connecting linear algebra, geometry and data. Go ahead and dwelve into the glorious connection. Read More April 27, 2020 Arrangement in a Ring | TOMATO B.Stat Objective 103 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Arrangement in a Ring. You may use sequential hints to solve the problem. Read More April 27, 2020 Odd and Even integers | AIME I, 1997 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Odd and Even integers. Read More April 27, 2020 Two and Three-digit numbers | AIME I, 1997 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Two and Three-digit numbers. Read More April 27, 2020 Geometric Progression and Integers | PRMO 2017 | Question 5 Try this beautiful problem from the Pre-RMO, 2017 based on Geometric Progression and Integers. You may use sequential hints to solve the problem. Read More April 27, 2020 Number of triangles in Polygon | TOMATO B.Stat Objective 105 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on number of triangles in a Polygon. You may use sequential hints. Read More April 26, 2020 Problem on Integral Inequality | ISI - MSQMS - B, 2015 Try this problem from ISI MSQMS 2015 which involves the concept of Integral Inequality and real analysis. You can use the sequential hints provided to solve the problem. Read More April 26, 2020 Sitting arrangement | ISI-B.stat | Objective Problem 120 Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sitting Arrangement. You may use sequential hints. Read More April 26, 2020 Probability Dice Problem | AMC-10A, 2009 | Problem 22 Try this beautiful problem from Probability in Dice from AMC-10A, 2009. You may use sequential hints to solve the problem. Read More April 26, 2020 Problem on Trigonometry | SMO, 2008 | Problem - 22 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem. Read More April 26, 2020 Application of Pythagoras Theorem | SMO, 2010 | Problem 22 Try this problem from the Singapore Mathematics Olympiad, SMO, 2010 based on the application of the Pythagoras Theorem. You may use sequential hints. Read More April 25, 2020 Counting Double Subsets | ISI MStat 2014 Sample PSB Problem 3 This problem is an extension of the bijection princple idea used in counting the number of subsets of a set. This is ISI MStat 2014 Sample Paper PSB Problem 3. Read More April 25, 2020 Inequality Problem From ISI - MSQMS - B, 2017 | Problem 3a Try this problem from ISI MSQMS 2017 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem. Read More April 25, 2020 Probability in Divisibility | AMC-10A, 2003 | Problem 15 Try this beautiful problem from Probability based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem. Read More April 25, 2020 Problem based on Triangles | PRMO-2018 | Problem 12 Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2018 based on Triangles. You may use sequential hints to solve the problem. Read More April 25, 2020 Functional Equations Problem | SMO, 2012 | Problem 33 Try this beautiful Problem from Singapore Mathematics Olympiad, 2012 based on Functional Equations. You may use sequential hints to solve the problem. Read More April 24, 2020 Trigonometry Problem from SMO, 2008 | Problem No.17 Try this beautiful Problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem. Read More April 24, 2020 Pattern Problem | AMC-10A, 2003 | Problem 23 Try this beautiful problem from Pattern based on Triangle from AMC-10A, 2003. You may use sequential hints to solve the problem Read More April 24, 2020 Divisibility Problem from AMC 10A, 2003 | Problem 25 Try this beautiful problem from Number theory based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem. Read More April 24, 2020 Condition checking | ISI-B.stat Entrance | Objective Problem 60 Try this beautiful problem from Inequation from TOMATO useful for ISI B.Stat Entrance based on condition checking.You may use sequential hints. Read More April 24, 2020 Elchanan Mossel's Dice Paradox | ISI MStat 2018 PSB Problem 6 This problem is called the Elchanan Mossel's Dice Paradox. The problem has a paradoxical nature, but there is always a way out. This ISI MStat 2018 PSB Problem 6. Read More April 23, 2020 Perfect square Problem | AIME I, 1999 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides. Read More April 23, 2020 Function of Complex numbers | AIME I, 1999 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Function of Complex numbers. Read More April 23, 2020 Squares and Triangles | AIME I, 1999 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles. Read More April 23, 2020 Sum of squares of two numbers | B.Stat Objective | TOMATO 77 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints. Read More April 23, 2020 Non-Consecutive Selection | ISI MStat 2019 PSB Problem 3 This problem is a beautiful and simple application of bijection principle to count how we can select the number of non consecutive integers in combinatorics from Problem 3 of ISI MStat 2019 PSB. Read More April 22, 2020 Intertwined Conditional Probability | ISI MStat 2016 PSB Problem 4 This is an interesting problem from conditional probability and bernoulli random variable mixture, which gives a sweet and sour taste to the Problem 4 of ISI MStat 2016 PSB. Read More April 22, 2020 Series and Integers | B.Stat Objective | TOMATO 81 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Series and Integers. You may use sequential hints. Read More April 22, 2020 A Parallelogram and a Line | AIME I, 1999 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on A Parallelogram and a Line. Read More April 22, 2020 Triangle and Integer | PRMO 2019 | Question 28 Try this beautiful problem from the Pre-RMO, 2019 based on Triangle and Integer. You may use sequential hints to solve the problem. Read More April 22, 2020 Combination of Sequence | B.Stat Objective | TOMATO 79 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence. You may use sequential hints. Read More April 21, 2020 Venny Venny AMy GMy | ISI MStat 2016 PSB Problem 3 This problem is a very basic and cute application of set theory, venn diagram and and am gm inequality to solve the ISI MStat 2016 PSB Problem 3. Read More April 21, 2020 Smallest prime Problem | AIME I, 1999 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Smallest prime. Read More April 21, 2020 Area of Triangle and Integer | PRMO 2019 | Question 29 Try this beautiful problem from the Pre-RMO, 2019 based on Area of Triangle and Integer. You may use sequential hints to solve the problem. Read More April 21, 2020 Cones and circle | AIME I, 2008 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Cones and circle. Read More April 21, 2020 Incentre and Triangle | AIME I, 2001 | Question 7 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Incentre and Triangle. Read More April 20, 2020 Likelihood & the Moment | ISI MStat 2016 PSB Problem 7 This problem is a beautiful example when the maximum likelihood estimator is same as the method of moments estimator. Infact, we have proposed a general problem, is when exactly, they are equal? This is from ISI MStat 2016 PSB Problem 7, Stay Tuned. Read More April 20, 2020 Merry-go-round Problem | ISI-B.Stat Entrance | TOMATO 104 Try this beautiful problem based on the combinatorics from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More April 20, 2020 Octahedron Problem | AMC-10A, 2006 | Problem 24 Try this beautiful problem from Geometry: Octahedron AMC-10A, 2006. You may use sequential hints to solve the problem Read More April 20, 2020 Probability in Coordinates | AMC-10A, 2003 | Problem 12 Try this beautiful problem from Probability in Coordinates from AMC-10A, 2003. You may use sequential hints to solve the problem. Read More April 20, 2020 Problem based on Triangle | PRMO-2012| Problem 7 Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2012 based on Triangle You may use sequential hints to solve the problem. Read More April 20, 2020 Triangle and Trigonometry | AIME I, 1999 Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Triangle and Trigonometry. Read More April 19, 2020 Weekly Schedule : Week of April 20 to 26 Read More April 19, 2020 Problem on HCF | SMO, 2013 | Problem 35 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2013 based on HCF. You may use sequential hints to solve the problem. Read More April 19, 2020 Problem on Area of Triangle | SMO, 2010 | Problem 32 Try this beautiful problem from Singapore Mathematics Olympiad based on area of triangle. You may use sequential hints to solve the problem. Read More April 19, 2020 Integers and remainders | TOMATO B.Stat Objective 85 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Integers and remainders. You may use sequential hints to solve the problem. Read More April 19, 2020 Probability in Games | AIME I, 1999 | Question 13 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 1999 based on Probability in Games. You may use sequential hints. Read More April 19, 2020 Least Positive Integer Problem | AIME I, 2000 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Least Positive Integer. Read More April 19, 2020 Theory of Equations | AIME I, 2015 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Theory of Equations. Read More April 18, 2020 Equations and Complex numbers | AIME I, 2019 Question 10 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2019 based on Equations and Complex numbers. Read More April 18, 2020 Correlation of two ab(Normals) | ISI MStat 2016 PSB Problem 6 This problem is an interesting application of the moment generating function of normal random variable to see how the correlation behaves under monotone function. This is the problem 6 from ISI MStat 2016 PSB. Read More April 18, 2020 Area of Equilateral Triangle | AIME I, 2015 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 from Geometry based on Area of Equilateral Triangle. Read More April 18, 2020 Probability Problem | Combinatorics | AIME I, 2015 - Question 5 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Probability. You may use sequential hints. Read More April 18, 2020 Probability of tossing a coin | AIME I, 2009 | Question 3 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on Probability of tossing a coin. Read More April 18, 2020 Probability of divisors | AIME I, 2010 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability of divisors. Read More April 18, 2020 Equations with number of variables | AIME I, 2009 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2009 based on Equations with a number of variables. Read More April 18, 2020 Logic and Group | TOMATO B.Stat Objective Question Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Group. You may use sequential hints to solve the problem. Read More April 17, 2020 Coordinate Geometry Problem | AIME I, 2009 Question 11 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Coordinate Geometry. Read More April 17, 2020 Exponents and Equations | AIME I, 2010 Question 3 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Exponents and Equations. Read More April 17, 2020 Two Arrangements | PRMO 2019 | Question 5 Try this beautiful problem from the Pre-RMO, 2019 based on Two Arrangements. You may use sequential hints to solve the problem. Read More April 17, 2020 Arrangement of digits | AIME I, 2012 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2012 based on Arrangement of Digits. You may use sequential hints. Read More April 17, 2020 Complex Numbers and prime | AIME I, 2012 | Question 6 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Complex Numbers and prime. Read More April 17, 2020 Geometric Sequence Problem | AIME I, 2009 | Question 1 Try this beautiful problem from American Invitational Mathematics Examination I, AIME I, 2009 based on geometric sequence. Use hints to solve the problem. Read More April 17, 2020 Cycles, Symmetry, and Counting | ISI MStat 2016 PSB | Problem 2 This problem from ISI MStat 2016 PSB is a beautiful application of basic counting principles, symmetry and double counting principles in combinatorics. Read More April 16, 2020 Restricted Regression Problem | ISI MStat 2017 PSB Problem 7 This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7. Read More April 16, 2020 Problem on Natural Numbers | TIFR B 2010 | Problem 4 Try this problem of TIFR GS-2010 using your concepts of number theory and congruence based on natural numbers. You may use the sequential hints provided. Read More April 16, 2020 Definite Integral Problem | ISI 2018 | MSQMS- A | Problem 22 Try this problem from ISI-MSQMS 2018 which involves the concept of Real numbers, sequence and series and Definite integral. You can use the sequential hints Read More April 16, 2020 Problem on Functional Equation | SMO, 2010 | Problem 31 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2010 based on functional equation. You may use sequential hints. Read More April 16, 2020 Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 4b Try this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem. Read More April 16, 2020 Inequality Problem | ISI - MSQMS 2018 | Part B | Problem 4 Try this problem from ISI MSQMS 2018 which involves the concept of Inequality and Combinatorics. You can use the sequential hints provided. Read More April 16, 2020 Trigonometry Problem | PRMO 2016 | Question 14 Try this beautiful problem from the Pre-RMO, 2019 based on Trigonometry Problem. You may use sequential hints to solve the problem. Read More April 15, 2020 Lock and Key | ISI MStat 2017 PSB | Problem 6 This problem is a beautiful and elegant probability based on elementary problem on how to effectively choose the key to a lock. This gives a simulation environment to the problem 6 of ISI MStat 2017 PSB. Read More April 15, 2020 Roots of Equations | PRMO-2016 | Problem 8 Try this beautiful problem from Algebra based on quadratic equation from PRMO 2016. You may use sequential hints to solve the problem. Read More April 15, 2020 Remainder Problem | ISI-B.Stat Entrance | TOMATO 90 Try this beautiful problem based on the remainder from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More April 15, 2020 Composite number Problem | B.Stat Objective | TOMATO 75 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints. Read More April 15, 2020 Triangles and sides | AIME I, 2009 | Question 5 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Triangles and sides. Read More April 15, 2020 Rectangles and sides | AIME I, 2011 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides. Read More April 15, 2020 Positive Integers Problem | TIFR B 201O | Problem 12 Try this problem of TIFR GS-2010 using your concepts of number theory based on Positive Integers. You may use the sequential hints provided. Read More April 15, 2020 A Telescopic Sequence| ISI MStat 2018 PSB Problem 2 This is a beautiful problem from ISI MStat 2018 problem 2, which uses the cutae little ideas of telescopic sum and partial fractions. Read More April 14, 2020 Measuring the length in Triangle | AMC-10B, 2011 | Problem 9 Try this beautiful problem from Geometry: Triangle from AMC-10B, 2011, Problem-9. You may use sequential hints to solve the problem. Read More April 14, 2020 Area of Triangle Problem | AMC-10A, 2009 | Problem 10 Try this beautiful problem from Geometry: Area of triangle from AMC-10A, 2009, Problem-10. You may use sequential hints to solve the problem. Read More April 14, 2020 Arithmetic Progression | AMC-10B, 2004 | Problem 21 Try this beautiful problem from algebra, based on Arithmetic Progression from AMC-10B, 2004. You may use sequential hints to solve the problem Read More April 14, 2020 Area of the Trapezium | AMC-10A, 2018 | Problem 24 Try this beautiful problem from Geometry:Area of Trapezium.AMC-10A, 2018. You may use sequential hints to solve the problem Read More April 14, 2020 CYCLIC GROUP Problem | TIFR 201O | PART A | PROBLEM 1 Try this problem from TIFR GS-2010 which involves the concept of cyclic group. You can use the sequential hints provided to solve the problem. Read More April 14, 2020 Problem based on Triangle | PRMO-2016 | Problem 10 Try this beautiful problem from PRMO, 2016 based on Triangle You may use sequential hints to solve the problem. Read More April 14, 2020 The Unique Decomposition | ISI MStat 2015 PSB Problem 3 The solution plays with eigen values and vectors to solve this cute and easy problem in Linear Algebra from the ISI MStat 2015 problem 3. Read More April 13, 2020 Sequence and Integers | AIME I, 2007 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2007 based on Sequence and Integers. Read More April 13, 2020 Patterns and Integers | AIME I, 2001 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Patterns and Integers. Read More April 13, 2020 Centroids and Area | PRMO 2018 | Question 21 Try this beautiful problem from the Pre-RMO, 2018 based on Centroids and Area. You may use sequential hints to solve the problem. Read More April 13, 2020 Logic and Integers | B.Stat Objective | TOMATO 73 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Integers. You may use sequential hints to solve the problem. Read More April 13, 2020 REAL ANALYSIS PROBLEM | TIFR A 201O | PROBLEM 5 Try this problem of TIFR GS-2010 from Real analysis, Differentiantiation and Maxima, and Minima. Try with the sequential hints provided. Read More April 13, 2020 Centroid of Triangle | SMO, 2009 | Problem 1 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Centroid of Triangle. You may use sequential hints to solve the problem. Read More April 13, 2020 Rectangle and Squares | PRMO 2019 | Question 24 Try this beautiful problem from the Pre-RMO, 2019 based on Rectangle and Squares. You may use sequential hints to solve the problem. Read More April 13, 2020 Invariant Regression Estimate | ISI MStat 2016 PSB Problem 7 This cute little problem gives us the wisdom that when we minimize two functions at single point uniquely , then their sum is also minimized at the same point. This is applied to calculate the least square estimates of two group regression from ISI MStat 2016 Problem 7. Read More April 13, 2020 Discover the Covariance | ISI MStat 2016 Problem 6 This problem from ISI MStat 2016 is an application of the ideas of indicator and independent variables and covariance of two summative random variables. Read More April 12, 2020 Tracing the Trace | ISI MStat 2016 PSB Problem 3 This ISI MStat 2016 problem is an application of the ideas of tracing the trace and Eigen values of a matrix and using a cute sum of squares identity. Read More April 12, 2020 Planes and distance | AIME I, 2011 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Planes and distance. Read More April 12, 2020 GCD and Sequence | AIME I, 1985 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1985 based on GCD and Sequence. Read More April 12, 2020 Equations and roots | B.Stat Objective | TOMATO 71 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and roots. You may use sequential hints. Read More April 12, 2020 GCD and Primes | PRMO 2017 | Question 29 Try this beautiful problem from the Pre-RMO, 2017 based on GCD and Primes. You may use sequential hints to solve the problem. Read More April 12, 2020 Integer and Divisibility | B.Stat Objective | TOMATO 69 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Integer and Divisibility. You may use sequential hints. Read More April 11, 2020 Series Problem | SMO, 2013 | Problem 27 Try this beautiful problem from Singapore Mathematics Problem, SMO, 2012 based on Series. You may use sequential hints to solve the problem. Read More April 11, 2020 Function and symmetry | AIME I, 1984 | Question 12 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1984 based on Function and symmetry. You may use sequential hints. Read More April 11, 2020 Problem on Prime Numbers | SMO, 2012 | Problem 20 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2012 based on Prime numbers. You may use sequential hints to solve the problem. Read More April 11, 2020 Logic and speed | AIME I, 2008 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Logic and speed. Read More April 11, 2020 Logic True-False Reasoning | B.Stat Objective | TOMATO 67 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints. Read More April 10, 2020 Problem based on Triangle | PRMO-2018 | Problem 21 Try this beautiful problem from Geometry based on Triangle from PRMO 2018. You may use sequential hints to solve the problem. Read More April 10, 2020 Problem based on LCM | AMC 8, 2016 | Problem 20 Try this beautiful problem from Algebra based on LCM from AMC-8, 2016. You may use sequential hints to solve the problem. Read More April 10, 2020 Ratio of LCM & GCF | Algebra | AMC 8, 2013 | Problem 10 Try this beautiful problem from Algebra aboutRatio of Lcm & gcf from AMC-8, 2013. You may use sequential hints to solve the problem. Read More April 10, 2020 Equations and Integers | AIME I, 2008 | Question 4 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Equations and Integers. Read More April 9, 2020 Inverse Uniform Distribution | ISI MStat 2007 PSB Problem 4 This problem is an intersting application of the inverse uniform distribution family, which has infinite mean. This problem is from ISI MStat 2007. The problem is verified by simulation. Read More April 9, 2020 Logic and True-False | B.Stat Objective | TOMATO 65 Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and True-False. You may use sequential hints to solve the problem. Read More April 9, 2020 Area of The Region | AMC-8, 2017 | Problem 25 Try this beautiful problem from Geometry: The area of the region, AMC-8, 2017. You may use sequential hints to solve the problem. Read More April 9, 2020 Problem on Series | SMO, 2009 | Problem No. 25 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Problem on Series. You may use sequential hints to solve the problem. Read More April 9, 2020 Area of the figure | AMC-8, 2014 | Problem 20 Try this beautiful problem from Geometry:Area inside the rectangle but outside all three circles.AMC-8, 2014. You may use sequential hints to solve the problem Read More April 8, 2020 Collect All The Toys | ISI MStat 2013 PSB Problem 9 Remember, we used to collect all the toy species from our chips' packets. We were all confused about how many more chips to buy? Here is how, probability guides us through in this ISI MStat 2013 Problem 9. Read More April 8, 2020 Smallest Positive Integer | PRMO 2019 | Question 14 Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem. Read More April 8, 2020 Squares and Triangles | AIME I, 2008 | Question 2 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Squares and Triangles. Read More April 8, 2020 Relations and Numbers | B.Stat Objective | TOMATO 63 Try this TOMATO problem from I.S.I. B.Stat Objective based on Relations and Numbers. You may use sequential hints to solve the problem. Read More April 8, 2020 Percentage Problem | AIME I, 2008 | Question 1 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Percentage. you may use sequential hints. Read More April 8, 2020 Two-Faced Problem | ISI MStat 2013 PSB Problem 1 This post gives you both an analytical and a statistical insight into ISI MStat 2013 PSB Problem 1. Stay Tuned! Read More April 7, 2020 Angles in a circle | PRMO-2018 | Problem 8 Try this beautiful problem from PRMO, 2018 based on Angles in a circle. You may use sequential hints to solve the problem. Read More April 7, 2020 Circles and Triangles | AIME I, 2012 | Question 13 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Circles and triangles. Read More April 7, 2020 Complex Numbers and Triangles | AIME I, 2012 | Question 14 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Complex Numbers and Triangles. Read More April 7, 2020 Triangles and Internal bisectors | PRMO 2019 | Question 10 Try this beautiful problem from the Pre-RMO, 2019 based on Triangles and Internal bisectors. You may use sequential hints to solve the problem. Read More April 6, 2020 Eigen Values | ISI MStat 2019 PSB Problem 2 This post based on eigen values of matrices and using very basic inequalities gives a detailed solution to ISI M.Stat 2019 PSB Problem 2. Read More April 6, 2020 Problem on Semicircle | AMC 8, 2013 | Problem 20 Try this beautiful problem from AMC-8, 2013, (Problem-20) based on area of semi circle.You may use sequential hints to solve the problem. Read More April 6, 2020 Linear Equations | AMC 8, 2007 | Problem 20 Try this beautiful problem from Algebra based on Linear equations from AMC-8, 2007. You may use sequential hints to solve the problem. Read More April 6, 2020 Radius of semicircle | AMC-8, 2013 | Problem 23 Try this beautiful problem from Geometry: Radius of semicircle from AMC-8, 2013, Problem-23. You may use sequential hints to solve the problem. Read More April 6, 2020 Digit Problem from SMO, 2012 | Problem 14 Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2012 based on digit. You may use sequential hints to solve the problem. Read More April 5, 2020 Perfect cubes | Algebra | AMC 8, 2018 | Problem 25 Try this beautiful problem from Algebra based on Perfect cubes from AMC-8, 2018, Problem -25. You may use sequential hints to solve the problem. Read More April 5, 2020 Time and Work | PRMO-2017 | Problem 3 Try this beautiful problem from PRMO, 2017 based on Time and work. You may use sequential hints to solve the problem. Read More April 5, 2020 Problem based on Integer | PRMO-2018 | Problem 4 Try this beautiful problem from Algebra based on integer from PRMO 8, 2018. You may use sequential hints to solve the problem. Read More April 5, 2020 Integer | ISI-B.stat Entrance(Objective from TOMATO) | Problem 72 Try this beautiful problem from Integer from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem. Read More April 5, 2020 Counting Principle - Concept with Problem | Combinatorics Learn the concept of the Counting Principle and make algorithms to count complex things in a simpler way with the help of Combinatorics problem. Read More April 5, 2020 Area of a Regular Hexagon | AMC-8, 2012 | Problem 23 Try this beautiful problem from Geometry: Area of the Regular Hexagon - AMC-8, 2012 - Problem 23. You may use sequential hints to solve the problem. Read More April 4, 2020 Mean Square Error | ISI MStat 2019 PSB Problem 5 This problem based on calculation of Mean Square Error gives a detailed solution to ISI M.Stat 2019 PSB Problem 5, with a tinge of simulation and code. Read More April 4, 2020 Rational Number and Integer | PRMO 2019 | Question 9 Try this beautiful problem from the Pre-RMO, 2019 based on Lines and Angles. You may use sequential hints to solve the problem. Read More April 4, 2020 Inequations and Conditions | ISI B.Stat TOMATO Problem When $x(A-x) \lt y(A-y)$ for all x,y with$0 \lt x \lt y \lt1$, find the condition that holds Subscribe to Cheenta at Youtube Read More April 4, 2020 Box and ball Probability | B.Stat Objective TOMATO Problem 59 A box contains 100 balls of different colours 28 red 17 blue 21 green 10 white 12 yellow 12 black. The smallest number n such that any n balls drawn from the box will contain at least 15 balls of the same colour is Subscribe to Cheenta at Youtube Read More April 4, 2020 Area of Triangle Problem | AMC-8, 2019 | Problem 21 Try this beautiful problem from Geometry: The area of triangle AMC-8, 2019. You may use sequential hints to solve the problem Read More April 3, 2020 Triangular Number Sequence | Explanation with Application In Triangular Number Sequence, the numbers are in the form of an equilateral triangle arranged in a series or sequence. Let's learn with the application. Read More April 3, 2020 Combination of Cups | PRMO-2018 | Problem 11 Try this beautiful problem from PRMO, 2018 based on Combination of Cups. You may use sequential hints to solve the problem. Read More April 3, 2020 Sequence | Arithmetic and Geometric | Learn with Problems The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More April 3, 2020 Central Limit Theorem | ISI MStat 2018 PSB Problem 7 This problem based on Central Limit Theorem gives a detailed solution to ISI M.Stat 2018 PSB Problem 7, with a tinge of simulation and code. Read More April 3, 2020 Probability Theory | ISI MStat 2015 PSB Problem B5 This is a detailed solution based on Probability Theory of ISI MStat 2015 PSB Problem B5, with the prerequisites mentioned explicitly. Stay tuned for more. Read More April 3, 2020 Cumulative Distributive Function | ISI M.Stat 2019 PSB Problem B6 This problem gives a detailed solution to ISI M.Stat 2019 PSB Problem 6, with a tinge of simulation and code. Stay tuned for more. Read More April 2, 2020 Maximum Likelihood Estimation | ISI MStat 2017 PSB Problem 8 This problem based on Maximum Likelihood Estimation, gives a detailed solution to ISI M.Stat 2017 PSB Problem 8, with a tinge of simulation and code. Read More April 2, 2020 Lines and Angles | PRMO 2019 | Question 7 Try this beautiful problem from the Pre-RMO, 2019 based on Lines and Angles. You may use sequential hints to solve the problem. Read More April 2, 2020 Logarithm and Equations | AIME I, 2012 | Question 9 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Logarithm and Equations. Read More April 2, 2020 Cross section of solids and volumes | AIME I 2012 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Cross section of solids and volumes. Read More April 2, 2020 Angles of Star | AMC 8, 2000 | Problem 24 Try this beautiful problem from GeometryAMC-8, 2000 ,Problem-24, based triangle. You may use sequential hints to solve the problem. Read More April 1, 2020 Problem based on Integer | PRMO-2018 | Problem 6 Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem. Read More April 1, 2020 Number counting | TOMATO ISI BStat Objective Problem 56 Try this beautiful problem Based on Number counting. You may use sequential hints to solve the problem. Read More April 1, 2020 Area of a Triangle | AMC-8, 2000 | Problem 25 Try this beautiful problem from Geometry: Area of the triangle from AMC-8, 2000, Problem-25. You may use sequential hints to solve the problem. Read More April 1, 2020 Unit digit | Algebra | AMC 8, 2014 | Problem 22 Try this beautiful problem from Algebra about unit digit from AMC-8, 2014. You may use sequential hints to solve the problem. Read More March 31, 2020 Trapezium | Geometry | PRMO-2018 | Problem 5 Try this beautiful problem from Geometry based on Trapezium from PRMO , 2018. You may use sequential hints to solve the problem. Read More March 31, 2020 Partial Differentiation | IIT JAM 2017 | Problem 5 Try this problem from IIT JAM 2017 exam (Problem 5).It deals with calculating the partial derivative of a multi-variable function. Read More March 31, 2020 Probability Problem | AMC 8, 2016 | Problem no. 21 Try this beautiful problem from Probability from AMC-8, 2016 Problem 21. You may use sequential hints to solve the problem. Read More March 31, 2020 Rolle's Theorem | IIT JAM 2017 | Problem 10 Try this problem from IIT JAM 2017 exam (Problem 10).You will need the concept of Rolle's Theorem to solve it. You can use the sequential hints. Read More March 31, 2020 Mixture | Algebra | AMC 8, 2002 | Problem 24 Try this beautiful problem from Algebra based on mixture from AMC-8, 2002.. You may use sequential hints to solve the problem. Read More March 30, 2020 Pattern Problem| AMC 8, 2002| Problem 23 Try this beautiful problem from Pattern from AMC-8(2002) problem no 23.You may use sequential hints to solve the problem. Read More March 30, 2020 Quadratic Equation Problem | PRMO-2018 | Problem 9 Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem. Read More March 30, 2020 Set theory | TOMATO ISI B.stat Objective | Problem 53 Try this beautiful problem Based on Set Theory .You may use sequential hints to solve the problem. Read More March 30, 2020 Arrangement Problem | AIME I, 2012 | Question 3 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2012 based on Arrangement. You may use sequential hints. Read More March 30, 2020 Area of the Trapezoid | AMC 8, 2002 | Problem 20 Try this beautiful problem from AMC-8, 2002, (Problem-20) based on area of Trapezoid.You may use sequential hints to solve the problem. Read More March 29, 2020 Problem related to Money | AMC 8, 2002 | Problem 25 Try this beautiful problem from Algebra based on Number theory fro AMC-8(2002) problem no 25.You may use sequential hints to solve the problem. Read More March 29, 2020 Divisibility Problem | PRMO 2019 | Question 8 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle. Read More March 29, 2020 Area of Trapezoid | AMC 10A, 2018 | Problem 9 Try this beautiful problem from AMC 10A, 2018 based on area of trapezoid. You may use sequential hints to solve the problem. Read More March 29, 2020 Problem on Series and Sequences | SMO, 2012 | Problem 23 Try this beautiful problem from Singapore Mathematics Olympiad, 2012 based on Series and Sequences. You may use sequential hints to solve the problem. Read More March 29, 2020 Radius of Convergence of a Power series | IIT JAM 2016 Try this problem from IIT JAM 2017 exam (Problem 48) and know how to determine radius of convergence of a power series.We provide sequential Hints. Read More March 28, 2020 Problem from Probability | AMC 8, 2004 | Problem no. 21 Try this beautiful problem from Probability from AMC 8, 2004, Problem 21.You may use sequential hints to solve the problem. Read More March 28, 2020 Smallest Perimeter of Triangle | AIME I, 2015 | Question 11 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle. Read More March 28, 2020 Theory of Equations | AIME I, 2015 | Question 10 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Theory of Equations. Read More March 28, 2020 Trigonometry Problem | AIME I, 2015 | Question 13 Try this beautiful problem number 13 from the American Invitational Mathematics Examination, AIME, 2015 based on Trigonometry. Read More March 27, 2020 Circumscribed circle of the hexagon | PRMO 2018 | Problem 7 Try this beautiful problem from Geometry based on Radius of the circumscribed circle of the hexagon .You may use sequential hints to solve the problem Read More March 27, 2020 Intersection of two Squares | AMC 8, 2004 | Problem 25 Try this beautiful problem from Geometry based on Intersection of two Squares AMC-8, 2004,Problem-25. You may use sequential hints to solve the problem. Read More March 27, 2020 Probability | AMC 8, 2004 | Problem no. 22 Try this beautiful problem from Probability from AMC-8, 2004 Problem 22. You may use sequential hints to solve the problem. Read More March 27, 2020 Area of Rectangle Problem | AMC 8, 2004 | Problem 24 Try this beautiful problem from GeometryAMC-8, 2004 ,Problem-24, based on area of Rectangle. You may use sequential hints to solve the problem. Read More March 27, 2020 Eigen Value of a matrix | IIT JAM 2017 | Problem 58 Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix. We provide sequential hints. Read More March 26, 2020 The Mathematics of How Virus can Grow The Mathematics of How Corona Virus Grow? The beautiful tale of undeterministic mathematics of chance and chaos of when they will become extinct or when they will thrive. Read More March 26, 2020 Radius of the Circle | AMC-8, 2005 | Problem 25 Try this beautiful problem from Geometry:Radius of the Circle from AMC-8(2005). You may use sequential hints to solve the problem Read More March 26, 2020 Area of Isosceles Triangle | AMC 8, 2005 | Problem 23 Try this beautiful problem from AMC-8, 2005, Problem-23 based on the area of an isosceles triangle. You may use sequential hints to solve the problem Read More March 25, 2020 Cube of Positive Integer | Number Theory | AIME I, 2015 Question 3 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Cube of Positive Integer. Read More March 25, 2020 Arithmetic Sequence | AMC 10B, 2003 | Problem No. 24 Try this beautiful problem from AMC 10B, 2003 based on Arithmetic Sequence. You may use sequential hints to solve the problem. Read More March 25, 2020 Limit of a function | IIT JAM 2017 | Problem 8 Try this problem from IIT JAM 2017 exam (Problem 8). It deals with evaluating Limit of a function. We provide sequential hints. Read More March 25, 2020 Problem on Area of Circle | SMO, 2010 (Junior) | Problem 29 Try this beautiful problem on area of circle from SMO, Singapore Mathematics Olympiad, 2010. You may use sequential hints to solve the problem. Read More March 24, 2020 Number and Series | Number Theory | AIME I, 2015 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased. Read More March 24, 2020 Prime numbers | AMC 8, 2006| Problem 25 Try this beautiful problem from Algebra based on Number theory fro AMC-8(2006) problem no 25.You may use sequential hints to solve the problem. Read More March 24, 2020 Sum of Series from SMO - 2013 - Problem Number 29 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 24, 2020 Largest and smallest numbers | AMC 8, 2006 | Problem 22 Try this beautiful problem from Algebra about Largest and smallest numbers from AMC-8, 2006. You may use sequential hints to solve the problem. Read More March 23, 2020 Probability | AMC 8, 2010 | Problem no. 24 Try this beautiful problem from Probability from AMC-8(2007). You may use sequential hints to solve the problem. Read More March 23, 2020 Area of pinwheel | AMC 8, 2007 | Problem 23 Try this beautiful problem from AMC 8, 2007 Geometry based on pinwheel.You may use sequential hints to solve the problem Read More March 23, 2020 Probability Biased and Unbiased | AIME I, 2010 Question 4 Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased. Read More March 23, 2020 Gradient, Divergence and Curl | IIT JAM 2014 | Problem 5 Try this problem from IIT JAM 2014 exam. It deals with calculating Gradient of a scalar point function, Divergence and curl of a vector point function point function.. We provide sequential hints. Read More March 22, 2020 Area of Circle Problem | AMC 8, 2008 | Problem 25 Try this beautiful problem from AMC-8(2008),Problem-25,Geometry based on Area of a Circle. You may use sequential hints to solve the problem. Read More March 22, 2020 Number Theory of Primes | AIME I, 2015 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem. Read More March 22, 2020 Functional Equation Problem from SMO, 2013 - Senior Section The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 21, 2020 Total surface area of a cube | AMC-8, 2009 | Problem 25 Try this beautiful problem from Geometry: Total surface area of a cube. You may use sequential hints to solve the problem Read More March 21, 2020 Quadratic equation Problem | AMC 8, 2009 | Problem 23 Try this beautiful problem from Algebra based on Quadratic equation fro AMC-8(2009) problem no 23.You may use sequential hints to solve the problem. Read More March 21, 2020 Area of the triangle and square | AMC 8, 2008 | Problem 23 Try this beautiful problem from AMC-8(2008),Problem-23.Geometry based on Ratio of the area of the triangle and area of the square.You may use sequential hints to solve the problem Read More March 21, 2020 Differential Equation| IIT JAM 2014 | Problem 4 Try this problem from IIT JAM 2014 exam. It requires knowledge of exact differential equation and partial derivative. We provide sequential hints. Read More March 20, 2020 Functional Equation Problem | SMO, 2013 - Problem19 (Senior Section) The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 20, 2020 Inequality | HANOI 2018 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem. Read More March 20, 2020 Squares and Square roots | HANOI 2018 Try this beautiful problem from HANOI 2018 based on Squares and Square roots. You may use sequential hints to solve the problem. Read More March 20, 2020 Squares and Inequality | HANOI 2018 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem. Read More March 19, 2020 What is AMC 8 | How to prepare for AMC 8 What is AMC 8 American Mathematics Competition 8 (replaced AJHSME) or AMC 8 is the first step toward International Math Olympiad in the United States (USAMO). Outstanding students participate in this festival of mathematics every year to test their mettle. This contest aims to provide an opportunity for the students so that they can have […] Read More March 19, 2020 Largest Hexagon in Equilateral Triangle | HANOI 2018 Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem. Read More March 19, 2020 Definite Integral as Limit of a sum | ISI QMS | QMA 2019 Try this problem from ISI QMS 2019 exam. It requires knowledge Real Analysis and integral calculus and is based on Definite Integral as Limit of a sum. Read More March 19, 2020 Problem from Area of Rectangle | SMO 2012 | Junior Section Try this beautiful problem from area of rectangle from Singapore Math Olympiad, 2012, Junior Section. You may use sequential hints if required. Read More March 19, 2020 Divisibility Problem | HANOI 2018 Try this beautiful problem from HANOI, 2018 based on Divisibility. You may use sequential hints to solve the problem if required. Read More March 19, 2020 The Exaggerated Triangle Inequality Triangle Inequality is an exaggerated version of the Basic Idea of the Euclidean Plane. Let's do some Triangle inequality Problems and Solutions. Read More March 18, 2020 Geometric Median |Understand the concept Geometric Median is an important concept in the intersection of Geometry, Data Analysis and Algorithms. This article explores the concept. Read More March 18, 2020 Page number counting |AMC 8- 2010 -|Problem 21 Try this beautiful problem from Algebra about Page number counting from AMC-8(2010). You may use sequential hints to solve the problem. Read More March 18, 2020 Area of trapezoid | AMC 8, 2011|Problem 20 Try this beautiful problem from Geometry: The area of the trapezoid . You may use sequential hints to solve the problem. Read More March 18, 2020 Circles and points | HANOI 2018 Try this beautiful problem from HANOI, 2018 based on Circles and points. You may use sequential hints to solve the problem. Read More March 18, 2020 Circles and semi-circles| AMC 8, 2010|Problem 23 Try this beautiful problem from Geometry based on Ratio of the area of circle and semi-circles.You may use sequential hints to solve the problem. Read More March 17, 2020 Quadratic Equation | SMO, 2012 | Junior Section The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 17, 2020 Area of square and circle | AMC 8, 2011|Problem 25 Try this beautiful problem from AMC 8, 2011 based on the ratio of the area of square and circle.You may use sequential hints to solve the problem Read More March 17, 2020 Sequence and Series | HANOI 2018 Try this beautiful problem from HANOI 2018 based on Sequence and series. You may use sequential hints to solve the problem. Read More March 17, 2020 Problem based on Inequalities | HANOI 2018 Try this beautiful problem from Pre RMO 2019 based on Number Theory and Geometry. You may use sequential hints to solve the problem. Read More March 16, 2020 Area of Circle - Singapore Mathematics Olympiad - 2013 Try this beautiful problem from Singapore Mathematics Olympiad based on Area of Circle. You may use sequential hints to solve the problem. Read More March 16, 2020 Ratio of the area of Square and Pentagon | AMC 8, 2013 Try this beautiful problem from Geometry: Ratio of the area between Square and Pentagon. . You may use sequential hints to solve the problem. Read More March 16, 2020 Area of Triangle and Square | AMC 8, 2012 | Problem 25 Try this beautiful problem from AMC-8-2012 (Geometry) based on area of a Triangle and square and congruency .You may use sequential hints to solve the problem Read More March 16, 2020 Area of star and circle | AMC-8, 2012|problem 24 Try this beautiful problem from AMC 8, 2012 based on the area of star and circle. You may use sequential hints to solve the problem Read More March 15, 2020 Rational Numbers | Singapore Mathematics Olympiad, 2013 Try this beautiful problem from Singapore Mathematics Olympiad based on rational numbers. You may use sequential hints to solve the problem. Read More March 15, 2020 Circumference of a Semicircle | AMC 8, 2014 | Problem 25 Try this beautiful problem from Geometry based on Circumference of a Semicircle .You may use sequential hints to solve the problem Read More March 15, 2020 Divisibility | AMC 8, 2014 |Problem 21 Try this beautiful problem from Algebra based on multiplication and divisibility of Two given numbers. You may use sequential hints to solve the problem. Read More March 15, 2020 Rolling ball Problem | Semicircle |AMC 8- 2013 -|Problem 25 Try this beautiful problem from AMC 8, 2013 based on a rolling ball on a semicircular track. You may use sequential hints to solve the problem. Read More March 15, 2020 Number Theory and Geometry | PRMO 2019 | Problem 6 Try this beautiful problem from Pre RMO 2019 based on Number Theory and Geometry. You may use sequential hints to solve the problem. Read More March 14, 2020 Minimal Polynomial of a Matrix | TIFR GS-2018 (Part B) Try this beautiful problem from TIFR GS 2018 (Part B) based on Minimal Polynomial of a Matrix. This problem requires knowledge linear algebra. Read More March 14, 2020 Geometry and Trigonometry | PRMO 2019 | Problem 11 Try this beautiful problem from Pre RMO, 2019 based on Geometry and Trigonometry. You may use sequential hints to solve the problem. Read More March 14, 2020 Number Theory | PRMO 2019 | Problem 3 Try this beautiful problem from Pre RMO, 2019 based on the number theory. You may use sequential hints to solve the problem. Read More March 14, 2020 Hexagon and Triangle |AMC 8- 2015 -|Problem 21 Try this beautiful problem from Geometry based on hexagon and Triangle . You may use sequential hints to solve the problem. Read More March 14, 2020 Area of Square - Singapore Mathematical Olympiad - 2013 - Problem No.17 Try this beautiful problem from Singapore Mathematical Olympiad. 2013 based on area of Square. You may use sequential hints to solve the problem. Read More March 14, 2020 Definite Integral & Expansion of a Determinant |ISI QMS 2019 |QMB Problem 7(a) Try this beautiful problem from ISI QMS 2019 exam. This problem requires knowledge of determinant and definite integral. Sequential hints are given here. Read More March 13, 2020 What is TIFR and how to prepare for it? About TIFR Tata Institute of Fundamental Research, TIFR is the foremost institution for advanced research in foundational sciences based in Mumbai, Maharashtra, India. The institute offers a master's course, an integrated M.Sc and Ph.D. course and a Ph.D. degree in different science fields. One can get admission into this institute by clearing the TIFR Entrance […] Read More March 13, 2020 Complex Numbers | AIME I, 2009 | Problem 2 Try this beautiful problem from AIME, 2009 based on complex numbers. You may use sequential hints to solve the problem... Read More March 13, 2020 Area of a square | AMC 8- 2015| Problem 25 Try this beautiful problem from Geometry based on area of square.. You may use sequential hints to solve the problem Read More March 13, 2020 Combinations | AIME I, 2009 |Problem 9 Try this problem from American Invitational Mathematics Examination, AIME, 2019 based on combinations. You may use sequential hints to solve the problem. Read More March 12, 2020 Berkeley Math Tournament Here is an informative post on Berkeley Math Tournament, 2020. This tournament Group is an association established at the College of California-Berkeley. Read More March 12, 2020 Examples & Counterexamples - A Way to Build Your Own Mathematics This is an interesting article on how to build your own Mathematics with the help of examples and counter examples. Stay tuned. Read More March 12, 2020 Least common multiple | AMC 8, 2016 - Problem 20 Try this beautiful problem from Algebra based on Division algorithm (Least Common Multiple) You may use sequential hints to solve the problem. Read More March 12, 2020 Radius of a Semicircle | AMC 8, 2016 | Problem 25 Try this beautiful problem from Geometry based radius of a semicircle inscribed in a isosceles triangle. You may use sequential hints to solve the problem Read More March 12, 2020 Limit of a Sequence | IIT JAM 2018 | Problem 2 Try this beautiful problem from IIT JAM 2018 which requires knowledge of Real Analysis (Limit of a Sequence). We provide sequential hints. Read More March 11, 2020 Triangle Inequality Problem - AMC 12B, 2014 - Problem 13 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 11, 2020 Definite Integral | IIT JAM 2018 | Problem 4 Try this beautiful problem from IIT JAM 2018 which requires knowledge of the properties of definite integral. We have sequential hints. Read More March 10, 2020 Number Theory - AMC 10A, 2018 - Problem 10 Try this beautiful problem from AMC 10A, 2018 based on number theory. You may use sequential hints to help you solve the problem. Read More March 10, 2020 Area of a Triangle -AMC 8, 2018 - Problem 20 Try this beautiful problem from AMC 8, 2018 based on the area of triangle. You may use sequential hints to solve the problem. Read More March 9, 2020 Functions and Equations |Pre-RMO, 2019 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 9, 2020 Area of cube's cross section |Ratio | AMC 8, 2018 - Problem 24 Try this beautiful problem from Geometry: Ratio of the area of cube's cross section . You may use sequential hints to solve the problem. Read More March 8, 2020 Geometry of Plane figures | Pre-RMO 2019 Try this beautiful problem from Pre-RMO, 2019 based on Geometry of plane figures. You may use sequential hints to solve the problem. Read More March 8, 2020 Radius of a Semi Circle -AMC 8, 2017 - Problem 22 Try this beautiful problem from AMC 8, 2017 based on the radius and tangent of a semi circle. You may use sequential hints to solve the problem. Read More March 8, 2020 Sets and Venn diagrams |B.Math Entrance Try this beautiful problem from B.Math Entrance Exam based on sets and venn diagrams. You may use sequential hints to solve the problem. Read More March 8, 2020 Triangle Inequality - Mathematical Circles - Problem No. 5 Try this beautiful problem from Mathematical Circles book based on triangle inequality. You may use sequential hints to solve the problem. Read More March 7, 2020 Radius of a Circle - SMO 2013 - Problem 25 Try this beautiful problem from Geometry based on the radius and tangent of a circle. You may use sequential hints to solve the problem. Read More March 7, 2020 Cubes and Rectangles | Math Olympiad Hanoi 2018 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 7, 2020 Limit of a Function of two variables This is a Beautiful problem of calculating limit of a function of two variable from IIT JAM 2016. We provide sequential hints. Read More March 7, 2020 INMO 2007 Try to solve these interesting INMO 2007 Questions. Solve them and write the answers in the comment to check your answers. Read More March 7, 2020 Order of General and Special Linear Group Here is the post in which you would learn about the Order of General and Special Linear Group with the help of a problem. Try it and learn the solution. Read More March 7, 2020 Maximizing Arrangements Here is a post related to a problem based on maximizing arrangements in Mathematics. Try the problem and learn the solution. Read More March 6, 2020 Triple Integral | IIT JAM 2016 | Question 15 This is a beautiful problem from IIT JAM 2016, Question no.15 based on triple integral. We provide sequential hints to solve the problem. Read More March 6, 2020 FERMAT POINT The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 6, 2020 Can we prove that the length of any side of a triangle is not more than half of its perimeter? The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 6, 2020 Gaps in Permutation | TOMATO Objective Problem 145 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 6, 2020 Geometry of Tangents | ISI Entrance B.Stat 2009 Find the radius of smaller circle. Subscribe to Cheenta at Youtube Read More March 6, 2020 Triangle Inequality Theorem - Explanation The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 6, 2020 Relation Mapping (IIT JAM 2014) A beautiful problem involving the concept of relation-function and differentiation and integration. Learn in this self-learning module for College-Math Read More March 5, 2020 Inequality (Forerunner Problem 2) The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 4, 2020 PRMO - 2018 - Questions, Discussions, Hints, Solutions PRMO (Pre Regional Math Olympiad, India) 2018 questions, anawers, hints, solutions and discussions. Read More March 4, 2020 PRMO 2017 Problems and Solutions PRMO (Pre Regional Math Olympiad, India) 2017 questions, anawers, hints, solutions and discussions. Read More March 4, 2020 PRMO - 2016 - Questions, Discussions, Hints, Solutions PRMO (Pre Regional Math Olympiad, India) 2016 questions, anawers, hints, solutions and discussions. Read More March 4, 2020 PRMO - 2015 A - Questions, Discussions, Hints, Solutions PRMO (Pre Regional Math Olympiad, India) 2015 A questions, anawers, hints, solutions and discussions. Read More March 3, 2020 Basic Inequality - Problem 1 (Forerunner Problem List) The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 2, 2020 Statistics Problem - Australian Mathematics Competition, 2014 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 2, 2020 Math Game - Australian Mathematics Competition, 2014 The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad Read More March 1, 2020 Stanford Summer Camp | Logic and Problem Solving Logic and Problem Solving Summer Camp in Stanford - An Overview As the summer vacation begins, many of us will be sending our kids to summer camp for good reason. A mountain of data out there supports the idea that summer camp experiences are highly beneficial for children. It encourages them to discover and explore […] Read More March 1, 2020 Series and Trigonometry | ISI B.Stat Entrance 2009 We are going to discuss about Series and Trigonometry from I.S.I. B.Stat Entrance Objective Problem (2009). Given that$k(1+2+3++...+n)= (1^2+2^2+...+n^2)$find$cos^{-1}\frac{2n-3k}{2}\$. Subscribe to Cheenta at Youtube

February 29, 2020
Well ordering principle and Bezout Theorem

Well ordering principle is a fundamental idea in Number Theory. It can be used to prove Bezout Identity. Learn it from this self learning module

February 29, 2020
Math Olympiad in India | A Comprehensive Guide

February 28, 2020
GCD and Bezout Theorem

February 27, 2020
Missing Numbers - Australian Mathematics Competition

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 26, 2020
Cyclic Groups in TIFR Entrance

Cyclic groups are simple examples of groups generated by one element. But there can be more than one generator. Try this problem from TIFR Entrance with video.

February 24, 2020
Co-ordinate Geometry - AMC 10B - 2019 - Problem No - 4

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 24, 2020
Side of Triangle : AMC 10B, 2011 - Problem 9

The simplest example of Area of Triangle from 2011 AMC 10B-Problem 9. Learn in this self-learning module for math olympiad.We may use sequential hints.

February 24, 2020
Average Problem - AMC 10B - 2019 - Problem No - 4

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 23, 2020
Division Algorithm

Division algorithm leads to form of a number. That in turn is useful in Number Theory. Learn it in this self-learning module for ISI Entrance and math olympiad

February 22, 2020
Parallelogram - CMI Entrance, 2019 - Problem 4

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 22, 2020
Area of Triangle - AMC 10A - 2019 - Problem No. - 7

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 22, 2020
Gauss Trick in ISI Entrance

Gauss trick can be used to solve tricky algebra problems. Learn it in this self-learning module for ISI Entrance and math olympiad

February 21, 2020
Bijection Principle from I.S.I. Entrance

Bijection principle is an important tool in combinatorics. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.

February 21, 2020
Test of Divisibility by 11- AMC 8, 2014 - Problem-8

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 20, 2020
Parity from 2020 AMC 10A Problem - 18

The simplest example of Parity. Learn in this self-learning module for math olympiad.We may use sequential hints.

February 20, 2020
Divisibility - Understanding the Rule : AMC 8, 2016 Problem 24

This is a beautiful problem from AMC 8, 2016 which involves the concept of divisibility.We provide sequential hints.

February 19, 2020
Primes and Polynomials from I.S.I. Entrance

Prime numbers are related with polynomials. This problem from I.S.I Entrance is useful for Math Olympiad. Try video, sequential hints and practice problems.

February 18, 2020
Perimeter of a shape - AMC UP - 2014 - Problem No - 11

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 17, 2020
Gromov boundary

In mathematics, the Gromov boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually, the Gromov boundary is the set of all points at infinity. For instance, the Gromov boundary of the real line is two points, corresponding to positive and negative infinity. Suppose X is any set. It is, Suppose, we have […]

February 17, 2020
Pigeon Hole Principle Problem-11 from 2011 AMC 10B

This is a beautiful problem from 2011 AMC 10B-Problem 11.We ma use sequential hints.

February 17, 2020
Combinatorics : AMC 8 2008 Problem 14

This is a beautiful problem from AMC 8 , 2008 involving the concept of combinatorics. We provide sequential hints.

February 16, 2020
Ratio Problem from AMC 10B - 2020 - Problem No.3

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

February 16, 2020
Area of Trapezium - AMC 8, 2014 - Problem 14

The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad