If you are preparing for Mathematics Olympiads, ISI-CMI Entrances or challenging College level entrances then this article is for you. We will describe the no short-cut approach of Cheenta Programs and how you can use them.

What is the NO-SHORTCUT approach for learning great Mathematics?

Learn More No-short-cut approach at Cheenta Read More

If you are preparing for Mathematics Olympiads, ISI-CMI Entrances or challenging College level entrances then this article is for you. We will describe the no short-cut approach of Cheenta Programs and how you can use them.

CMI 2019 Problem | Solving Complex Inequality using Geometry Read More

Let's discuss a problem from CMI Entrance Exam 2019 Problem that helps us to learn how to solve complex inequality problems using Geometry. The Problem: Count the number of roots $w$ of the equation $z^{2019} โ 1 = 0$ over complex numbers that satisfy $|w + 1| โฅ 2 + โ2$. The Solution: Some useful […]

Gaussian Prime Spiral and Its beautiful Patterns Read More

Author: Kazi Abu Rousan Mathematics is the science of patterns, and nature exploits just about every pattern that there is. Ian Stewart Introduction If you are a math enthusiastic, then you must have seen many mysterious patterns of Prime numbers. They are really great but today, we will explore beautiful patterns of a special type […]

ISI B.Stat B.Math 2021 Objective Paper | Problems & Solutions Read More

In this post, you will find ISI B.Stat B.Math 2021 Objective Paper with Problems and Solutions. This is a work in progress, so the solutions and discussions will be uploaded soon. You may share your solutions in the comments below. [Work in Progress] Problem 1 The number of ways one can express $2^{2} 3^{3} 5^{5} […]

ISI B.Stat B.Math 2021 Subjective Paper | Problems & Solutions Read More

In this post, you will find ISI B.Stat B.Math 2021 Subjective Paper with Problems and Solutions. This is a work in progress, so the solutions and discussions will be uploaded soon. You may share your solutions in the comments below. [Work in Progress] Problem 1: There are three cities each of which has exactly the […]

CMI Entrance 2019 Problem from Transformation Geometry Read More

Let's discuss a problem from CMI Entrance Exam 2019 based on the Inscribed Angle Theorem or Central Angle Theorem and Transformation Geometry. The Problem: Let $A B C D$ be a parallelogram. Let 'O' be a point in its interior such that $\angle A D B+\angle D O C=180^{\circ}$. Show that $\angle O D C=\angle […]

ISI MStat Entrance 2021 Problems and Solutions PSA & PSB Read More

Problems and Solutions of ISI MStat Entrance 2020 of Indian Statistical Institute.

Rational Root Theorem Proof Explanation | Learn with Cheenta Read More

In this post, we will be learning about the Rational Root Theorem Proof. It is a great tool from Algebra and is useful for the Math Olympiad Exams and ISI and CMI Entrance Exams. So, here is the starting point.... $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{2} x^{2}+a_{1} x+a_{0}$ This polynomial has certain properties. 1. The coefficients are all […]

AMC 8 2018 Problem 24 | American Mathematics Competitions Read More

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2018 Problem 24 In the cube $ABCDEFGH$ with opposite vertices $C$ and $E,$ $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD},$ respectively. Let $R$ be the ratio of the area of […]

AMC 8 2020 Problem 18 | American Mathematics Competitions Read More

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2020 Problem 18 Rectangle $A B C D$ is inscribed in a semicircle with diameter $\overline{F E}$ as shown in the figure. Let $D A=16$, and let $F D=A E=9 .$ What is the […]

How Mann Shah Achieved Gold in HKIMO, AIMO & SASMO Read More

Mann Shah is a Gold Awardee in HKIMO (Hong Kong International Mathematical Olympiad), AIMO (Asia International Mathematical Olympiad), and SASMO (Singapore and Asian Schools Math Olympiad) 2021. He is a student of Class 7 and also a proud Young Achiever of Cheenta. Cheenta is happy to share the success story of Mann! Mann says, "I […]

3 Lessons to Learn from the Father of Mathematics in India: Aryabhata Read More

Aryabhata is considered the "Father of Mathematics" in India. He is the first ancient Mathematician- Astronomer, whose important work includes "Aryabhatiya" and "Arya-Siddhanta". Today, let's learn 3 lessons from Aryabhata - the ๐๐ฎ๐๐ต๐ฒ๐ฟ ๐ผ๐ณ ๐ ๐ฎ๐๐ต๐ฒm๐ฎ๐๐ถ๐ฐ๐. ๐ญ. ๐๐ฎ๐๐ฒ ๐๐ผ๐๐ฟ๐ฎ๐ด๐ฒ ๐๐ผ ๐ค๐๐ฒ๐๐๐ถ๐ผ๐ป When eclipses were seen as something to be feared, and the concepts of "Rahu" and […]

ISI Entrance TOMOTO Subjective 89 - Complex Numbers Read More

An interesting problem based on complex numbers and their inversion. This is a Subjective Problem 89 from the Test of Mathematics Book, highly recommended for the ISI and CMI Entrance Exams. Let's check out the problem and solutions in two episodes: Useful Resources Previous Year Problems for ISI and CMI How to use invariance in […]

RMO 1994 Problems And Solutions Read More

This post discusses the solutions of Problems from RMO 1994 Question Paper. You may find to solution to some of these. RMO 1994 Problem 1: A leaf is torn from a paperback novel. The sum of the numbers on the remaining pages is 15000. What are the page numbers on the torn leaf. RMO 1994 Problem2: […]

ISI MStat 2020 PSB Problem 8 Solution Read More

This is the solution to the real analysis from ISI MStat 2020 PSB Problem 8 with designed food for thoughts on hypothesis testing and probability theory.

Can Two or more Events be Exhaustive and Independent? Read More

This is a really interesting problem in the probability theory, which enhances the intuition of independent events, conditional probability and exhaustive events.

How Aaditya Punatar Achieved Gold in NMTC & SASMO Read More

Aaditya Dharmen Punatar is a Gold Awardee in NMTC (National Mathematics Talent Contests) and SASMO (Singapore and Asian Schools Math Olmpiad) 2021. He is a student of Class 7 from Euroschool, Airoli and also a proud Young Achiever of Cheenta. Cheenta is happy to share the succes story of Aaditya! Aaditya says, "I love solving […]

IIT JAM MS 2020 Section A Problem 1 Solution Read More

This is the solution to the real analysis from IIT JAM MS 2020 Section A Problem 1 with designed food for thoughts.

How to prepare for CMI Data Science Examination? Read More

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.

ISI MStat Past Year Papers - Cheenta Statistics Department Read More

ISI MStat Past Year Papers - Cheenta Statistics Department 2020 2019 2018 2017 2016 Sample Papers (not actual ones) 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004

How to Prepare for Indian National Math Olympiad (INMO) ~ Arjun Gupta Read More

Arjun Gupta is an INMO Awardee and IMOTC candidate. This puts him in the top 35 students in India. Learn from this young achiever - How to Prepare for the Indian National Math Olympiad (INMO)? Cheenta is extremely proud to present this young achiever in Mathematics in our Young Achiever Seminar! The Young Achiever's Seminar […]

ISI MStat PSA Answer Keys and Solutions Read More

This is the list of answer key for ISI MStat PSA Portion. Enjoy.

Thousand Flowers - a โnewโ approach to learn mathematics (for children) Read More

Understand The Thousand Flowers Program is designed to provoke interest and curiosity in mathematics. It is particularly useful for children of age group 6 to 10 years, when they are starting out with the subject. The program wants to inspire interest and disregard intimidation. It uses a hands-on approach that freely draws from modern computational […]

How to Prepare for EGMO ~ Ananya Ranade (Silver Medal) Read More

How to Prepare for EGMO? Learn from the Achiever - Ananya Rajas Ranade (Silver Medal). Ananya Rajas Ranade, Silver Medalist in EGMO (European Girls Mathematics Olympiad) 2021 and a proud student of Cheenta, will be sharing with you all, how she prepared for the EGMO 2021 and how you can do it too. She will […]

Is Multivariate Limit = Iterated Limit? Multivariate Limit Demystified Read More

Multivariate Limits and Interated Limits confuse students. This article is a detailed way to understand the relationship between the two, with a quick 30 minutes tutorial.

Cheenta Advanced Math Program - 8 week subscription Read More

8 - week subscription to Cheenta Advanced Math Program for North America. Includes: One on One Class Group Class Access to Cheenta Genius App Optional Problem Solving Sessions

When Maximum Likelihood = Method of Moments? Read More

MLE is an important algorithm to find an estimate. Method of Moments is too. But they are often same. When are they same? What is so common between them? Let's explore.

ISI MStat 2020 PSB Problem 9 | Discussion & Solution Read More

This problem is an application of the smoothng property of expectation and variance and compares the mse of two sample survey schemes inlcuding SRSWR and SRSWOR. Let's enjoy this problem 9 of ISI MStat 2020.

AMC 8 Algebra Questions - Year wise Read More

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 […]

Prepare for Math Kangaroo Competition with Cheenta โ Read More

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 frontiรยจres" 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 […]

Is MLE always a function of a Sufficient Statistic? Read More

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.

ISI MStat 2020 PSB Problem 6 Problem & Solution Read More

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.

Meditation in Mathematics - PHP, Bose Olympiad, Gravity in Mars Read More

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 […]

INMO 2021 Problem 5 - Solution and Discussion Read More

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

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.

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IIT JAM Statistics Entrance Exam books based on Syllabus Read More

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

IIT JAM Statistics Mock Test | Cheenta Statistics Department Read More

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.

What is Stirling Number of First Kind Read More

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

INMO 2021 Question No. 1 Solution Read More

Supposeย $r\geq 2$ย is an integer, and letย $m_{1},n_{1},m_{2},n_{2} \cdots ,m_{r},n_{r}$ย beย $2r$ย integers such that$$|m_{i}n_{j}โm_{j}n_{i}|=1$$for any two integersย $i$ย andย $j$ย satisfyingย $1\leq i <j <r$. Determine the maximum possible value ofย $r$. 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 $r =2$. […]

INMO 2021 - Problems, Solutions and Discussion Read More

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} […]

Diameter of Incircle Lemma and Dilation of Incircle Read More

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 […]

How to prepare for IIT JAM Statistics? [A Data Analysis] Read More

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 […]

B.Math 2008 Objective Paper| Problems & Solutions Read More

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 […]

B.Math 2007 Objective Paper| Problems & Solutions Read More

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 […]

ISI Entrance 2011 - B.Math Subjective Paper| Problems & Solutions Read More

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 […]

ISI Entrance 2010 - B.Math Subjective Paper| Problems & Solutions Read More

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 […]

ISI Entrance 2009 - B.Math Subjective Paper| Problems & Solutions Read More

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 […]

ISI Entrance 2008 - B.Math Subjective Paper| Problems & Solutions Read More

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 […]

IIT JAM MS 2021 Question Paper | Set C | Problems & Solutions Read More

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 […]

INTRODUCING 5-days a week practice classes on olympiad and ISI Entrance problems Read More

In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance.

IIT JAM MS 2021 Question Paper | Set A | Problems & Solutions Read More

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 […]

IIT JAM MS 2021 Question Paper | Set B | Problems & Solutions Read More

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 […]

ISI B.Stat & B.Math 2014 Objective Paper| Problems & Solutions Read More

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) […]

ISI B.Stat 2013 Objective Paper| Problems & Solutions Read More

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) […]

Test of Mathematics Solution Objective 394 Power of Complex Number Read More

Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses thisย geometric characterย complex numbers.

Test of Mathematics Solution Objective 398 - Complex Number and Binomial Theorem Read More

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!

Test of Mathematics Solution Subjective 188 - The Numbered Chessboard Read More

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 […]

Test of Mathematics Solution Subjective 181 - Diagonal Moves Read More

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 […]

Test of Mathematics Solution Subjective 177 -The Famous Doors Problem Read More

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 ย There are 1000 doors $ […]

Test of Mathematics Solution Subjective 176 - Value of a Polynomial at x = n+1 Read More

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 […]

Test of Mathematics Solution Subjective 175 - Integer Roots Read More

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 ย 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 […]

Test of Mathematics Solution Subjective 170 - Infinite Circles Read More

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 […]

Test of Mathematics Solution Subjective 166 -The Grazing Field Read More

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 […]

Test of Mathematics Solution Subjective 157 -Limit of a product Read More

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 […]

Test of Mathematics Solution Subjective 155 -The Lim 1/(n+r) Problem Read More

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 ย Evaluate: $ \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n})$ […]

Test of Mathematics Solution Subjective 150 - Maximum of nth roots of n Read More

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 $ […]

Test of Mathematics Solution Subjective 144 - Finding a Function's Upper Bound Read More

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 ย Problem Suppose $ f(x)$ is […]

Test of Mathematics Solution Subjective 127 -Graphing relations Read More

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) […]

Test of Mathematics Solution Subjective 126 - Graphs of Absolute Value Functions Read More

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 ย Sketch, on plain paper, the regions represented, on the plane by the following: (i) […]

Test of Mathematics Solution Subjective 125 - Function on Natural Numbers Read More

This is a Test of Mathematics Solution Subjective 125ย (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 ย Let $ f: \mathcal{N} to \mathcal{N} $ be the function defined by f(0) = […]

Test of Mathematics Solution Subjective 124 - Graph sketching Read More

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 ย Sketch on plain paper, the graph of $ y = \frac {x^2 + 1} […]

Graphing integer value function | Tomato Subjective 117 Read More

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 […]

Test of Mathematics Solution Subjective 116 - Angles in a Triangle Read More

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 $ […]

Test of Mathematics Solution Subjective 115 - Trigonometric Relation Read More

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 $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]

Test of Mathematics Solution Subjective 113 - Vertices of a Triangle Read More

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 […]

Test of Mathematics Solution Subjective 110 - Ratio of Diagonals of Cyclic Quadrilateral Read More

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 […]

Test of Mathematics Solution Subjective 107 - Perpendiculars from Center Read More

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 […]

Test of Mathematics Solution Subjective 90 - Graphing Inequality Read More

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 […]

Test of Mathematics Solution Subjective 88 - Complex Numbers with a Property Read More

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 […]

Test of Mathematics Solution Subjective 84 - Comparing Equations Read More

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 […]

Test of Mathematics Solution Subjective 83 - Two numbers adding up to 1 Read More

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 = […]

Test of Mathematics Solution Subjective 82 - Inequality on four positive real numbers Read More

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 […]

Test of Mathematics Solution Subjective 81 - Cyclic and Symmetric Simultaneous Equations Read More

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 […]

Test of Mathematics Solution Subjective 79 -Trigonometric Inequality Read More

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}$, […]

Test of Mathematics Solution Subjective 78 -Absolute Value Inequality Read More

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}$, […]

Test of Mathematics Solution Subjective 77 Read More

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 - […]

Test of Mathematics Solution Subjective 76 - Range of a Rational Polynomial Read More

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} […]

Test of Mathematics Solution Subjective 75 Read More

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 […]

Test of Mathematics Solution Subjective 74 - Sum of Squares of Digits Read More

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 […]

Test of Mathematics Solution Subjective 73 - Coefficients of a Quadratic Read More

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 […]

Test of Mathematics Solution Subjective 72 - Polynomial Problem Read More

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}} […]

Test of Mathematics Solution Subjective 71 - Real solutions Read More

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 […]

Test of Mathematics Solution Subjective 58 - Balls of Different Color Read More

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 […]

Test of Mathematics Solution Subjective 57 - Number of Six Letter Words Read More

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 […]

Test of Mathematics Solution Subjective 70 - Equal Roots Read More

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 […]

Test of Mathematics Solution Subjective 69 - Coefficients of Polynomial Read More

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 […]

Test of Mathematics Solution Subjective 67 - Four Real Roots Read More

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 […]

Test of Mathematics Solution Subjective 66 - Range of a Polynomial Read More

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 […]

Test of Mathematics Solution Subjective 65 - Minimum Value of Quadratic Read More

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 + […]

Test of Mathematics Solution Subjective 64 -Functional Equation Read More

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 function […]

Test of Mathematics Solution Subjective 63 - Pair of Straight Lines Read More

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 […]

Test of Mathematics Solution Subjective 62 - System of Equations Read More

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 […]

Test of Mathematics Solution Subjective 61 - Symmetric Polynomial Read More

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}} $ - […]

Test of Mathematics Solution Subjective 60 - Equivalence Class Read More

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 […]

Test of Mathematics Solution Subjective 59 - Number of squares Read More

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 […]

Test of Mathematics Solution Subjective 55 - Partition of a set of functions Read More

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, […]

Test of Mathematics Solution Subjective 50 -Dictionary Ranking Read More

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 […]

Test of Mathematics Solution Subjective 49 - Arrangement of Similar Items Read More

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, \(y\)ย black balls,\(z\) […]

Test of Mathematics Solution Subjective 48 - The Gifts Distribution Read More

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 […]

Test of Mathematics Solution Subjective 43-Integer Root Read More

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 $ […]

Test of Mathematics Solution Subjective 38 - When 30 divides a prime Read More

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 […]

Test of Mathematics Solution Subjective 37 - The prime 13 Read More

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 […]

Test of Mathematics Solution Subjective 36 - Invariance Principle Read More

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 […]

Test of Mathematics Solution Subjective 33 - Symmetrical Minima Read More

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 […]

Test of Mathematics Solution Subjective 32 | Power of 3 Read More

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 $ […]

Test of Mathematics Solution Subjective 17 - Odd Coefficients Read More

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 […]

Test of Mathematics Solution Subjective 56 - Number of Four Digit Integers Read More

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 ย Show that the number of […]

Test of Mathematics Solution Subjective 42- Polynomial with Integer Coefficients Read More

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 […]

ISI B.Stat 2011 Objective Paper| Problems & Solutions Read More

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 […]

ISI B.Stat 2010 Objective Paper| problems & solutions Read More

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 […]

ISI B.Stat & B.Math 2015 Objective Paper| problems & solutions Read More

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 […]

Test of Mathematics Solution Subjective 46 - Number of Onto Functions Read More

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 functionย \(f\)ย from set \(A\)ย into set […]

ISI B.Stat, B.Math Paper 2016 Objective| Problems & Solutions Read More

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 […]

ISI B.Stat 2009 Objective Paper| problems & solutions Read More

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 […]

ISI B.Stat 2008 Objective Paper| problems & solutions Read More

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) […]

ISI B.Stat 2007 Objective Paper| problems & solutions Read More

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 […]

Indian National Math Olympiad, INMO 2015 Problems Read More

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 […]

PRMO 2012 Set A Problems & Solutions | Previous Year Paper Read More

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 […]

PRMO 2013 Set A Problems & Solutions | Previous Year Paper Read More

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 $k$ […]

PRMO 2015 Set B Problems & Solutions | Previous Year Paper Read More

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 […]

PRMO 2014 Problems & Solutions | Previous Year Paper Read More

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 […]

IOQM 2021 Problem Solutions Read More

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 […]

IIT JAM Stat Mock Test Toppers Read More

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 […]

Pigeonhole Principle Read More

โThe Pigeonhole principleโ ~ 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. Letโs learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put N + 1 […]

IIT JAM Stat MS 2021 Problem Solving Crash Course Read More

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 […]

Mathematics Summer Camps in India One Should Explore Read More

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 […]

National Mathematics Talent Contest (NMTC) Read More

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 […]

Bose Olympiad Senior Level | Resources Read More

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: Bezoutโs Theorem and Euclidean Algorithm Theory of congruence Number Theoretic […]

Bose Olympiad Intermediate - Resources Read More

Bose Olympiad Intermediate is suitable for kids in Grade 5, 6, and 7. There are three stages of this olympiad: Research Project Round Individual Round Team Round 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 […]

Bose Olympiad Junior Level | Resources Read More

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 […]

How to use Vectors and Carpet Theorem in Geometry 1? Read More

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 questionโฆ Given ABCD is a quadrilateral and P and Q are 2 points on AB and […]

Mahalanobis National Statistics Competition Read More

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 […]

Letter to parents: Talk about infinity Read More

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, โฆ } Notice that N contains infinitely many elements. Take a subset of N that consists […]

Carpet Strategy in Geometry | Watch and Learn Read More

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 questionโฆ Suppose ABCD is a square and X is a point on BC such that AX and DX are joined […]

Bijection Principle Problem | ISI Entrance TOMATO Obj 22 Read More

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 questionโฆ 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 […]

Triangle Problem | PRMO-2018 | Problem No-24 Read More

Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

What is the Area of Quadrilateral? | AMC 12 2018 | Problem 13 Read More

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 questionโฆ Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral? We will recommend you […]

Solving Weird Equations using Inequality | TOMATO Problem 78 Read More

Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn! Here goes the questionโฆ Solve: 2 \cos ^{2}\left(x^{3}+x\right)=2^{x}+2^{-x} We will recommend you to try the problem yourself. Done? Letโs see the proof in the video below: Some Useful Links: How to Construct Rational Numbers? […]

Even Parity and Odd Parity Read More

Parity in Mathematics is a term which we use to express if a given integer is even or odd. It basically depends 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 2 […]

Value of Sum | PRMO - 2018 | Question 16 Read More

Try this Integer Problem from Number theory from PRMO 2018, Question 16 You may use sequential hints to solve the problem.

AM-GM Inequality Problem | ISI Entrance Read More

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 […]

Chessboard Problem | PRMO-2018 | Problem No-26Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

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Sum of 8 fourth powers | ISI Entrance Problem Read More

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: […]

Measure of Angle | PRMO-2018 | Problem No-29Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

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Good numbers Problem | PRMO-2018 | Question 22 Read More

Try this good numbers Problem from Number theory from PRMO 2018, Question 22 You may use sequential hints to solve the problem.

Polynomial Problem | PRMO-2018 | Question 30 Read More

Try this Integer Problem from Number theory from PRMO 2018, Question 30 You may use sequential hints to solve the problem.

Digits Problem | PRMO - 2018 | Question 19 Read More

Try this Integer Problem from Number theory from PRMO 2018, Question 19 You may use sequential hints to solve the problem.

Chocolates Problem | PRMO - 2018 | Problem No. - 28 Read More

Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.

Trigonometry | PRMO-2018 | Problem No-14Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

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External Tangent | AMC 10A, 2018 | Problem 15 Read More

Try this beautiful Problem on geometry based on circle from AMC 10A, 2018. Problem-15. You may use sequential hints to solve the problem.

Dice Problem | AMC 10A, 2014| Problem No 17 Read More

Try this beautiful Problem on Probability from AMC 10A, 2014. Problem-17, You may use sequential hints to solve the problem.

Problem on Curve | AMC 10A, 2018 | Problem 21 Read More

Try this beautiful Problem on Co-ordinate geometry from AMC 10A, 2018. Problem-21, You may use sequential hints to solve the problem.

Finding Greatest Integer | AMC 10A, 2018 | Problem No 14 Read More

Try this beautiful Problem on Algebra from AMC 10A, 2018. Problem-14, You may use sequential hints to solve the problem.

Right-angled Triangle | AMC 10A, 2018 | Problem No 16 Read More

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-16. You may use sequential hints to solve the problem.

Length of the crease | AMC 10A, 2018 | Problem No 13 Read More

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-13. You may use sequential hints to solve the problem.

Colour Problem | PRMO-2018 | Problem No-27Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.

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Right-angled shaped field | AMC 10A, 2018 | Problem No 23 Read More

Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-23. You may use sequential hints to solve the problem.

Area of region | AMC 10B, 2016| Problem No 21 Read More

Try this beautiful Problem on Geometry on Circle from AMC 10B, 2016. Problem-20. You may use sequential hints to solve the problem.

Coin Toss Problem | AMC 10A, 2017| Problem No 18 Read More

Try this beautiful Problem on Probability from AMC 10A, 2017. Problem-18, You may use sequential hints to solve the problem.

GCF & Rectangle | AMC 10A, 2016| Problem No 19 Read More

Try this beautiful Problem on Geometry on Rectangle from AMC 10A, 2010. Problem-19. You may use sequential hints to solve the problem.

ISI MStat Entrance 2020 Problems and Solutions PSA & PSB Read More

Problems and Solutions of ISI MStat Entrance 2020 of Indian Statistical Institute.

Fly trapped inside cubical box | AMC 10A, 2010| Problem No 20 Read More

Try this beautiful Problem on Geometry on cube from AMC 10A, 2010. Problem-20. You may use sequential hints to solve the problem.

ISI Entrance 2020 Problems and Solutions - B.Stat & B.Math Read More

Problems and Solutions of ISI BStat and BMath Entrance 2020 of Indian Statistical Institute.

Measure of angle | AMC 10A, 2019| Problem No 13 Read More

Try this beautiful Problem on Geometry from AMC 10A, 2019.Problem-13. You may use sequential hints to solve the problem.

Sum of Sides of Triangle | PRMO-2018 | Problem No-17 Read More

Try this beautiful Problem on Geometry from PRMO -2018.You may use sequential hints to solve the problem.

Recursion Problem | AMC 10A, 2019| Problem No 15 Read More

Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-15, You may use sequential hints to solve the problem.

Roots of Polynomial | AMC 10A, 2019| Problem No 24 Read More

Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-24, You may use sequential hints to solve the problem.

Testing of Hypothesis | ISI MStat 2016 PSB Problem 9 Read More

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.

Set of Fractions | AMC 10A, 2015| Problem No 15 Read More

Try this beautiful Problem on Algebra from AMC 10A, 2015. Problem-15. You may use sequential hints to solve the problem.

Indian Olympiad Qualifier in Mathematics - IOQM Read More

Day and Date: Sunday, January 17, 2021 Time of exam: 9 am to 12 noon Venue: Designated IOQM Centres Type of exam: Three hour paper and pen exam with responses to be written on OMR sheet. The IOQM will have 30 questions with each question having an integer answer in the range 00-99. The syllabus and […]

Positive Integers and Quadrilateral | AMC 10A 2015 | Sum 24 Read More

Try this beautiful Problem on Rectangle and triangle from AMC 10A, 2015. Problem-24. You may use sequential hints to solve the problem.

ISI MStat PSB 2006 Problem 8 | Bernoullian Beauty Read More

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 !

Rectangular Piece of Paper | AMC 10A, 2014| Problem No 22 Read More

Try this beautiful Problem on Rectangle and triangle from AMC 10A, 2014. Problem-23. You may use sequential hints to solve the problem.

How to roll a Dice by tossing aย Coin ? Cheenta Statistics Department Read More

How can you roll a dice by tossing a coin? Can you use your probability knowledge? Use your conditioning skills.

Probability in Marbles | AMC 10A, 2010| Problem No 23 Read More

Try this beautiful Problem on Probability from AMC 10A, 2010. Problem-23. You may use sequential hints to solve the problem.

Points on a circle | AMC 10A, 2010| Problem No 22 Read More

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.

Circle and Equilateral Triangle | AMC 10A, 2017| Problem No 22 Read More

Try this beautiful Problem on Triangle and Circle from AMC 10A, 2017. Problem-22. You may use sequential hints to solve the problem.

Bayes' in-sanity || Cheenta Probability Series Read More

Listen to a frequentist's carping over Bayesian school of thinking!

International Youth Mathematics Challenge (IYMC) - Cheenta Opportunities Read More

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 […]

Laplace in the World of Chances| Cheenta Probability Series Read More

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.

Interior Point of a Triangle | PRMO-2017 | Problem No-24 Read More

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.

Side of a Quadrilateral | AMC 10A, 2009 | Problem No 12 Read More

Try this beautiful Problem on Side of a Quadrilateral from AMC 10A, 2009. Problem-12. You may use sequential hints to solve the problem.

Linear Equation Problem | AMC 10A, 2015 | Problem No.16 Read More

Try this beautiful Problem based on Linear Equations, Algebra AMC 10A, 2015, Problem-16. You may use sequential hints to solve the problem.

Trapezium | AMC 10A ,2009 | Problem No 23 Read More

Try this beautiful Problem on Geometry: quadrilateral from AMC 10A, 2009. Problem-12. You may use sequential hints to solve the problem.

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 !

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ISI MStat PSB 2009 Problem 4 | Polarized to Normal Read More

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 !

ISI MStat PSB 2008 Problem 7 | Finding the Distribution of a Random Variable Read More

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 !!

ISI MStat PSB 2008 Problem 2 | Definite integral as the limit of the Riemann sum Read More

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 !!

ISI MStat PSB 2008 Problem 3 | Functional equation Read More

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 3 based on Functional equation . Let's give it a try !!

ISI MStat PSB 2009 Problem 6 | abNormal MLE of Normal Read More

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 !

ISI MStat PSB 2009 Problem 3 | Gamma is not abNormal Read More

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 !

ISI MStat PSB 2009 Problem 1 | Nilpotent Matrices Read More

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 !

Bayes and The Billiard Table | Cheenta Probability Series Read More

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.

How to Calculate Geometric Mean | Learn the Concept Read More

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 […]

Circular arc | AMC 10A ,2012 | Problem No 18 Read More

Try this beautiful Problem on Geometry: Circular arc from AMC 10A, 2012. Problem-18. You may use sequential hints to solve the problem.

Nonconglomerability and the Law of Total Probability || Cheenta Probability Series Read More

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.

Area of rectangle | AMC 10A ,2012 | Problem No 21 Read More

Try this beautiful Problem on geometry from AMC 10A, 2012. You may use sequential hints to solve the problem.

ISI MStat PSB 2006 Problem 2 | Cauchy & Schwarz come to rescue Read More

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!

ISI MStat PSB 2007 Problem 6 | Counting Principle & Expectations Read More

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 6 based on counting principle . Let's give it a try !!

ISI MStat PSB 2005 Problem 3 | The Orthogonal Matrix Read More

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!

ISI MStat PSB 2006 Problem 6 | Counting Principle & Expectations Read More

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 6 based on counting principle . Let's give it a try !!

ISI MStat PSB 2006 Problem 5 | Binomial Distribution Read More

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 !!

ISI MStat PSB 2006 Problem 1 | Inverse of a matrix Read More

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 !!

Area of the Trapezium | PRMO-2017 | Question 30 Read More

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.

ISI MStat PSB 2007 Problem 2 | Rank of a matrix Read More

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 !!

ISI MStat PSB 2007 Problem 1 | Determinant and Eigenvalues of a matrix Read More

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 !!

ISI MStat PSB 2007 Problem 4 | Application of Newton Leibniz theorem Read More

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 !!

ISI MStat PSB 2007 Problem 3 | Application of L'hospital Rule Read More

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 !!

ISI MStat PSB 2005 Problem 1 | The Inductive Matrix Read More

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!

Problem on Circle and Triangle | AMC 10A, 2016 | Problem 21 Read More

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.

Judgements in a Fitful Realm | Cheenta Probability SeriesThis 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.

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Least Possible Value Problem | AMC-10A, 2019 | Quesstion19 Read More

Try this beautiful problem from Algebra based on least possible number.AMC-10A, 2019. You may use sequential hints to solve the problem

Nearest value | PRMO 2018 | Question 14 Read More

Try this beautiful problem from the Pre-RMO, 2018 based on the Nearest value. You may use sequential hints to solve the problem.

Probability From A Frequentist's Perspective || Cheenta Probability Series Read More

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.

ISI MStat PSB 2014 Problem 4 | The Machine's Failure Read More

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 !

ISI MStat PSB 2009 Problem 2 | Linear Difference Equation Read More

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 !!

ISI MStat PSB 2012 Problem 6 | Tossing a biased coin Read More

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 6 based on Conditional probability . Let's give it a try !!

ISI MStat PSB 2013 Problem 3 | Number of distinct integers Read More

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 3 based on Counting principle . Let's give it a try !!

ISI MStat PSB 2013 Problem 8 | Finding the Distribution of a Random Variable Read More

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 !!

ISI MStat PSB 2009 Problem 5 | Finding the Distribution of a Random Variable Read More

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 !!

Some Classical Problems And Paradoxes In Geometric Probability||Cheenta Probability Series Read More

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.

How to Measure the Length of your Earphone from a Pic?| Cheenta Probability Series Read More

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.

ISI MStat PSB 2018 Problem 9 | Regression Analysis Read More

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!

Sequence and permutations | AIME II, 2015 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination II, AIME II, 2015 based on Sequence and permutations.

Physics of Coin Tossing and Uncertainty | Cheenta Probability Series Read More

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 !!

ISI MStat PSB 2004 Problem 7 | Finding the Distribution of a Random Variable Read More

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 !!

Numbers of positive integers | AIME I, 2012 | Question 1 Read More

Try this beautiful problem number 1 from the American Invitational Mathematics Examination, AIME, 2012 based on Numbers of positive integers.

ISI MStat PSB 2013 Problem 7 | Bernoulli interferes Normally Read More

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!

Cheenta Toppers of the Month - January Read More

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 […]

Number of points and planes | AIME I, 1999 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on the number of points and planes.

ISI MStat PSB 2004 Problem 4 | Calculating probability using Uniform Distribution Read More

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 !!

ISI MStat PSB 2005 Problem 2 | Calculating probability using Binomial Distribution Read More

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 !!

Understanding Statistical Regularity Through Random Walks | Cheenta Probability Series Read More

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** โThe 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 […]

ISI MStat PSB 2013 Problem 9 | Envelope Collector's Expenditure Read More

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!

Arithmetic Sequence Problem | AIME I, 2012 | Question 2 Read More

Try this beautiful problem number 2 from the American Invitational Mathematics Examination I, AIME I, 2012 based on Arithmetic Sequence Problem.

Graph Coordinates | AMC 10A, 2015 | Question 12 Read More

Try this beautiful Problem on Graph Coordinates from co-ordinate geometry from AMC 10A, 2015. You may use sequential hints to solve the problem.

Digits of number | PRMO 2018 | Question 3 Read More

Try this beautiful problem from the Pre-RMO, 2018 based on Digits of number. You may use sequential hints to solve the problem.

Smallest value | PRMO 2018 | Question 15 Read More

Try this beautiful problem from the Pre-RMO, 2018 based on the Smallest value. You may use sequential hints to solve the problem.

Restricted Maximum Likelihood Estimator |ISI MStat PSB 2012 Problem 9 Read More

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.

ISI MStat PSB 2013 Problem 2 | Application of sandwich Theorem Read More

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 !!

ISI MStat PSB 2014 Problem 2 | Properties of a Function Read More

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 !!

Length and Triangle | AIME I, 1987 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle.

ISI MStat PSB 2012 Problem 3 | Finding the Distribution of a Random Variable Read More

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 !!

Positive Integer | PRMO-2017 | Question 1 Read More

Try this Integer Problem from Algebra from PRMO 2017, Question 1 You may use sequential hints to solve the problem.

Algebra and Positive Integer | AIME I, 1987 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Algebra and Positive Integer.

ISI MStat Mock Test Leaderboard | Cheenta Statistics Read More

Cheenta Statistics Department has been preparing quality mock tests for the passionate students appearing for ISI M.Stat.This post contains the leaderboard for all the ISI MStat Mock Tests to appreciate the achiever's performance in the mock test. Full Mock Test 1 Serial No. Name of the Student Score 1. Pratik Lakhani 108/120 2. Niranjan Dey […]

ISI MStat PSB 2010 Problem 10 | Uniform Modified Read More

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!

Distance and Spheres | AIME I, 1987 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Distance and Spheres.

Arithmetic Mean | AIME I, 2015 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Arithmetic Mean. You may use sequential hints.

Distance Time | AIME I, 2012 | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Distance Time. You may use sequential hints.

An Unexpected Correspondence and some Unfinished Games | Cheenta Probability Series Read More

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.

Measuring Chances and Coincidences | Cheenta Probability Series Read More

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.

Algebra and Combination | AIME I, 2000 Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebra and Combination.

Algebraic Equation | AIME I, 2000 Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Algebraic Equation.

ISI MStat PSB 2014 Problem 1 | Vector Space & Linear Transformation Read More

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 !!

Sequence and fraction | AIME I, 2000 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and fraction.

Arithmetic and geometric mean | AIME I, 2000 Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2000 based on Arithmetic and geometric mean with Algebra.

ISI MStat PSB 2012 Problem 10 | MVUE Revisited Read More

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!

Logarithms and Equations | AIME I, 2000 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 2000 based on Logarithms and Equations.

Finding smallest positive Integer | AIME I, 1996 Problem 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 1996 based on Finding the smallest positive Integer.

ISI MStat PSB 2010 Problem 1 | Tricky Linear Algebra Question Read More

This is a very beautiful sample problem from ISI MStat PSB 2010 Problem 1 based on Matrix multiplication and Eigenvalues and Eigenvectors.

Protected: LoL XD LMAO Paradox | Cheenta Probability Series Read More

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ISI MStat PSB 2006 Problem 9 | Consistency and MVUE Read More

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!

Amplitude and Complex numbers | AIME I, 1996 Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Amplitude and Complex numbers.

Roots of Equation and Vieta's formula | AIME I, 1996 Problem 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996 based on Roots of Equation and Vieta's formula.

ISI MStat PSB 2013 Problem 10 | Balls-go-round Read More

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 !

Tetrahedron Problem | AIME I, 1992 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Tetrahedron Problem.

Triangle and integers | AIME I, 1995 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Triangle and integers.

ISI MStat PSB 2005 Problem 5 | Uniformity of Uniform Read More

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 !

ISI MStat PSB 2012 Problem 2 | Dealing with Polynomials using Calculus Read More

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 !!

ISI MSTAT PSB 2011 Problem 4 | Digging deep into Multivariate Normal Read More

This is an interesting problem which tests the student's knowledge on how he visualizes the normal distribution in higher dimensions.

Functional Equation Problem from SMO, 2018 - Question 35 Read More

Try this problem from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. You may use sequential hints if required.

ISI MStat PSB 2012 Problem 5 | Application of Central Limit Theorem Read More

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 5 based on the Application of Central Limit Theorem.

Arithmetic sequence | AMC 10A, 2015 | Problem 7 Read More

Try this beautiful problem from Algebra: Arithmetic sequence from AMC 10A, 2015, Problem. You may use sequential hints to solve the problem.

Sequence and greatest integer | AIME I, 2000 | Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Sequence and the greatest integer.

Inscribed circle and perimeter | AIME I, 1999 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

Problem based on Cylinder | AMC 10A, 2015 | Question 9 Read More

Try this beautiful problem from Mensuration: Problem based on Cylinder from AMC 10A, 2015. You may use sequential hints to solve the problem.

Series and sum | AIME I, 1999 | Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Series and sum.

Cubic Equation | AMC-10A, 2010 | Problem 21 Read More

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.

Median of numbers | AMC-10A, 2020 | Problem 11 Read More

Try this beautiful problem from Geometry based on Median of numbers from AMC 10A, 2020. You may use sequential hints to solve the problem.

LCM and Integers | AIME I, 1998 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1998, Problem 1, based on LCM and Integers.

Bayes comes to rescue | ISI MStat PSB 2007 Problem 7 Read More

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 !!

Pen & Note Books Problem| PRMO-2017 | Question 8 Read More

Try this beautiful Pen & Note Books Problem from Algebra from PRMO 2017, Question 8. You may use sequential hints to solve the problem.

Rectangle Problem | Geometry | PRMO-2017 | Question 13 Read More

Try this beautiful Rectangle Problem from Geometry from PRMO 2017, Question 13. You may use sequential hints to solve the problem.

Problem on Fraction | AMC 10A, 2015 | Question 15 Read More

Try this beautiful Problem on Fraction from Algebra from AMC 10A, 2015. You may use sequential hints to solve the problem.

Integers | AIME I, 1993 Problem | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Integers. Use sequential hints if required.

Greatest Positive Integer | AIME I, 1996 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996, Question 2, based on Greatest Positive Integer.

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

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Distance travelled | PRMO II 2019 | Question 26 Read More

Try this beautiful problem from the PRMO II, 2019, Question 26, based on Distance travelled. You may use sequential hints to solve the problem.

Sum of Digits base 10 | PRMO II 2019 | Question 7 Read More

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.

ISI MStat PSB 2008 Problem 8 | Bivariate Normal Distribution Read More

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 !!

Trapezoid Problem | AIME I, 1992 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Rationals.

Circle | Geometry Problem | PRMO-2017 | Question 27 Read More

Try this beautiful Problem from Geometry based on Circle from PRMO 2017, Question 27. You may use sequential hints to solve the problem.

Chords in a Circle | PRMO-2017 | Question 26 Read More

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.

Side of Square | AMC 10A, 2013 | Problem 3 Read More

Try this beautiful problem from Geometry: Side of Square from AMC-10A (2013) Problem 3. You may use sequential hints to solve the problem.

Counting Days | AMC 10A, 2013 | Problem 17 Read More

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.

ISI MStat PSB 2004 Problem 6 | Minimum Variance Unbiased Estimators Read More

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 !!

ISI MStat PSB 2004 Problem 1 | Games and Probability Read More

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 !!

Chosing Program | AMC 10A, 2013 | Problem 7 Read More

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.

Order Pair | AMC-10B, 2012 | Problem 10 Read More

Try this beautiful problem from Algebra, based on Order Pair problem from AMC-10B, 2012. You may use sequential hints to solve the problem

ISI MStat PSB 2013 Problem 5 | Simple Random Sampling Read More

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.

Shortest Distance | PRMO II 2019 | Question 27 Read More

Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

Length of side of Triangle | PRMO II 2019 | Question 28Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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Acute angled Triangle | PRMO II 2019 | Question 29Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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ISI MStat PSB 2013 Problem 4 | Linear Regression Read More

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.

ISI MStat PSB 2011 Problem 1 | Linear Algebra Read More

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!

Triangle Area Problem | AMC-10A, 2009 | Problem 10 Read More

Try this beautiful problem from Geometry: The area of triangle AMC-10, 2009. You may use sequential hints to solve the problem

Side Length of Rectangle | AMC-10A, 2009 | Problem 17 Read More

Try this beautiful problem from Geometry: Side Length of Rectangle from AMC-10, 2009. You may use sequential hints to solve the problem

Missing Integers | PRMO II 2019 | Question 1 Read More

Try this beautiful problem from the Pre-RMO II 2019, based on Missing Integers. You may use sequential hints to solve the problem.

ISI MStat PSB 2014 Problem 9 | Hypothesis Testing Read More

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 !

ISI MStat PSB 2008 Problem 10 | Hypothesis Testing Read More

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!

Roots and coefficients of equations | PRMO 2017 | Question 4 Read More

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.

Number of ways | PRMO 2017 | Question 9 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways. You may use sequential hints to solve the problem.

Number of ways of arrangement | PRMO 2017 | Question 10 Read More

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.

ISI MStat PSB 2010 Problem 2 | Combinatorics Read More

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.

Real Numbers and Integers | PRMO 2017 | Question 2 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Real Numbers and Integers. You may use sequential hints to solve the problem.

Roots of Equation | PRMO 2017 | Question 19 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Roots of Equation. You may use sequential hints to solve the problem.

Problem on Cube | AMC 10A, 2008 | Problem 21 Read More

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

Television Problem | AMC 10A, 2008 | Problem 14Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

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Area of Triangle | AMC 10A, 2006 | Problem 21 Read More

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

Circle Problem | AMC 10A, 2006 | Problem 23Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

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Centroid Problem: Ratio of the areas of two Triangles Read More

Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem

Triangle Problem | AMC 10B, 2013 | Problem 16 Read More

Try this beautiful problem from Geometry - AMC-10 B (2013), Problem-16 based triangle. You may use sequential hints to solve the problem.

Number system | AMC-10A, 2007 | Problem 22 Read More

Try this beautiful problem from Number system, based on digits problem from AMC-10A, 2007. You may use sequential hints to solve the problem

Sum of reciprocals Problem | AMC-10A, 2003 | Problem 18 Read More

Try this beautiful problem from algebra, based on Sum of reciprocals in quadratic equation from AMC-10A, 2003. You may use sequential hints.

Non-Parallel lines | PRMO 2017 | Question 22 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Non-Parallel lines. You may use sequential hints to solve the problem.

Area of a part of circle | PRMO 2017 | Question 26Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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Area of Trapezium | AMC-10A, 2018 | Problem 24 Read More

Try this beautiful problem from Geometry: Area of Trapezium from AMC-10A, 2018. You may use sequential hints to solve the problem.

Problem on Equation | AMC-10A, 2007 | Problem 20 Read More

Try this beautiful problem from algebra, based on equation from AMC-10A, 2007. Problem-20,You may use sequential hints to solve the problem

Pen & Note Books Problem | PRMO-2019 | Question 16 Read More

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.

Quadratic equation Problem | AMC-10A, 2003 | Problem 5 Read More

Try this beautiful problem from algebra, based on the quadratic equation from AMC-10A, 2003. You may use sequential hints to solve the problem.

Sum of divisors and Integers | TOMATO B.Stat Objective 99 Read More

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.

Sum of digits Problem | PRMO 2016 | Question 6 Read More

Try this beautiful problem from Number theory based on sum of digits from PRMO 2016. You may use sequential hints to solve the problem.

Divisibility and Integers | TOMATO B.Stat Objective 89 Read More

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.

Useless Data, Conditional Probability, and Independence | Cheenta Probability Series Read More

This concept of independence, conditional probability and information contained always fascinated me. I have thus shared some thoughts upon this.

Integer based Problem | PRMO-2018 | Question 20 Read More

Try this beautiful Integer-based Problem from Algebra from PRMO 2018, Question 20. You may use sequential hints to solve the problem.

Sum of two digit numbers | PRMO-2016 | Problem 7 Read More

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.

Finding side of Triangle | PRMO-2014 | Problem 15 Read More

Try this beautiful problem from the Pre-Regional Mathematics Olympiad, PRMO, 2014, based on finding side of Triangle. You may use sequential hints.

Sets and Probability | B.Stat Objective Problems Read More

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.

Number Series | B.Stat Objective Problem Read More

Problem - 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 […]

Numbers and Group | B.Stat Objective Problem Read More

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.

Number of Factors | TOMATO B.Stat Objective 95 Read More

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.

Combinatorics and Integers | TOMATO B.Stat Objective 93 Read More

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.

Number of divisors and Integer | B.Stat Objective | TOMATO 83 Read More

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.

Greatest Integer and remainder | TOMATO B.Stat Objective 113 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective based on Greatest Integer and remainder. You may use sequential hints.

The area of trapezoid | AMC 8, 2003 | Problem 21 Read More

Try this beautiful problem from Geometry: The area of a trapezoid from AMC-8 (2003). You may use sequential hints to solve the problem.

Prime Number for ISI BStat | TOMATO Objective 70 Read More

Try this beautiful problem from Prime number from TOMATO useful for ISI BStat Entrance. You may use sequential hints to solve the problem.

Hundred Integers | ISI-B.Stat Entrance | TOMATO 82 Read More

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.

Largest area Problem | AMC 8, 2003 | Problem 22 Read More

Try this beautiful problem from AMC 8, 2003, problem no-22 based on Largest area. You may use sequential hints to solve the problem.

ISI MStat 2019 PSA Problem 15 | Trigonometry Problem Read More

This is the problem from ISI MStat 2019 PSA Problem 15. First, try it yourself and then go through the sequential hints we provide.

ISI MStat 2019 PSA Problem 14 | Reflection of a point Read More

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.

ISI MStat 2015 PSA Problem 17 | Basic Inequality Read More

This is a problem from ISI MStat 2015 PSA Problem 17. First, try the problem yourself, then go through the sequential hints we provide.

ISI MStat 2016 PSA Problem 9 | Equation of a circle Read More

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 .

ISI MStat 2015 PSA Problem 18 | Complex Number Read More

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 .

ISI MStat 2019 PSA Problem 12 | Domain of a function Read More

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 .

Number of points | TOMATO B.Stat Objective 713 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of points. You may use sequential hints.

Number of divisors and Integers | TOMATO B.Stat Objective 97 Read More

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.

Derivative Problem | TOMATO BStat Objective 764 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints.

Surface area of Cube Problem | AMC-10A, 2007 | Problem 21 Read More

Try this beautiful problem from Geometry, based on Cube from AMC-10A, 2007. You may use sequential hints to solve the problem

Angles and Triangles | AIME I, 2012 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Angles and Triangles.

Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25 Read More

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.

Digits and Numbers | AIME I, 2012 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Digits and Numbers.

Largest Common Divisor | PRMO-2014 | Problem 11 Read More

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.

AP GP Problem | AMC-10A, 2004 | Question 18 Read More

Try this beautiful problem from Algebra based on AP GP from AMC-10A, 2004. You may use sequential hints to solve the problem.

Greatest Common Divisor | AMC-10A, 2018 | Problem 22 Read More

Try this beautiful problem from ALGEBRA: Greatest Common Divisor AMC-10A, 2018. You may use sequential hints to solve the problem

Area of the Octagon | AMC-10A, 2005 | Problem 20 Read More

Try this beautiful problem from Geometry:Area of Octagon.AMC-10A, 2005. You may use sequential hints to solve the problem

Prime number Problem | ISI BStat | TOMATO Objective 96 Read More

Try this beautiful problem from Prime number from TOMATO useful for ISI B.Stat Entrance.You may use sequential hints to solve the problem.

ISI MStat 2019 PSA Problem 16 | Area bounded by the curve Read More

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 .

ISI MStat 2018 PSA Problem 11 | Sequence & it's subsequence Read More

This is a beautiful problem from ISI MSAT 2018 PSA problem 11 based on Sequence . We provide sequential hints so that you can try .

ISI MStat 2018 PSA Problem 8 | Limit of a Function Read More

This is a beautiful problem from ISI MSAT 2018 PSA problem 8 based on limit . We provide sequential hints so that you can try .

ISI MStat 2018 PSA Problem 10 | Dirichlet Function Read More

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 .

ISI MStat 2018 PSA Problem 7 | Continuous Function Read More

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 .

ISI MStat 2018 PSA Problem 12 | Sequence of positive numbers Read More

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 .

Derivative of Function Problem | TOMATO BStat Objective 756 Read More

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.

ISI MStat 2019 PSA Problem 22 | Basic Probability Read More

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 .

ISI MStat 2018 PSA Problem 13 | Probability of functions Read More

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 .

ISI MStat 2018 PSA Problem 14 | All possible colorings Read More

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.

ISI MStat 2019 PSA Problem 11 | Multiplication Principle Read More

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 .

ISI MStat PSA 2019 Problem 6 | Basic Counting principles Read More

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 .

Lengths of Rectangle Problem | AMC-10A, 2009 | Problem 14 Read More

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.

Probability in Divisibility | AMC-10A, 2003 | Problem 15 Read More

Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. You may use sequential hints to solve the problem.

ISI MStat 2019 PSA Problem 4 | Basic counting principle Read More

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 .

Function Problem | AIME I, 1988 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on function. You may use sequential hints.

Area of a triangle | PRMO 2017 | Question 25Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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Problem on Fibonacci sequence | AIME I, 1988 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence.

ISI MStat PSA 2019 Problem 17 | Limit of a function Read More

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 .

ISI MStat PSA 2019 Problem 18 | Probability and Digits Read More

This problem is a very easy and cute problem of probability from ISI MStat 2019 PSA Problem 18.

Solving Equation | PRMO 2017 | Question 23Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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Reflection Problem | AIME I, 1988 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 14, based on Reflection.

ISI MStat PSB 2018 Problem 1 | System of Linear Equations Read More

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.

Ordered Pairs | PRMO-2019 | Problem 18 Read More

Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem.

Maximum area | PRMO-2019 | Problem 23 Read More

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.

Rectangle Pattern | AMC-10A, 2016 | Problem 10 Read More

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.

Ratio of Circles | AMC-10A, 2009 | Problem 21 Read More

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.

Problem on Complex plane | AIME I, 1988| Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 11, based on Complex plane.

Derivative of Function Problem | TOMATO BStat Objective 757 Read More

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.

ISI MStat PSB 2015 Question 8 | MLE & amp | Stochastic Regression Read More

This is a problem involving BLUE for regression coefficients and MLE of a regression coefficient for a particular case of the regressors.

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.

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ISI MStat PSB 2015 Problem 2 | Vector Space & its Dimension Read More

This is a beautiful problem from ISI MStat 2015 PSB . We provide detailed solution with prerequisite mentioned explicitly .

Derivative of Function Problem | TOMATO BStat Objective 759Try 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.

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Probability in Game | AMC-10A, 2005 | Problem 18 Read More

Try this beautiful problem based on Probability in game from AMC-10A, 2005. You may use sequential hints to solve the problem.

Discontinuity Problem | ISI B.Stat Objective | TOMATO 734 Read More

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.

Quadratic Equation Problem | AMC-10A, 2005 | Problem 10 Read More

Try this beautiful problem from algebra, based on Quadratic equation from AMC-10A, 2005. You may use sequential hints to solve the problem.

Covex Cyclic Quadrilateral | PRMO 2019 | Question 23 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Covex Cyclic Quadrilateral. You may use sequential hints to solve the problem.

Ordered triples | PRMO 2017 | Question 21 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.

Ratio of the areas | PRMO-2019 | Problem 19 Read More

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.

Area of the Inner Square | AMC-10A, 2005 | Problem 8 Read More

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.

Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25 Read More

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.

Problem on Real Numbers | AIME I, 1990| Question 15 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on real numbers. Use sequential hints if required.

Digits and Integers | AIME I, 1990 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Digits and Integers.

ISI MStat 2016 Problem 1 | Area bounded by the curves | PSB Sample Read More

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.

Complex numbers and Sets | AIME I, 1990 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Complex numbers and Sets.

Consecutive positive Integers | AIME I, 1990| Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Consecutive Positive Integers.

Derivative of Function | TOMATO BStat Objective 767Try 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.

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Logarithm Problem From SMO, 2011 | Problem 7 Read More

Try this beautiful Logarithm Problem From Singapore Mathematics Olympiad, SMO, 2011 (Problem 7). You may use sequential hints to solve the problem.

Sides of Quadrilateral | PRMO 2017 | Question 20Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.

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Kernel of a linear transformation | ISI MStat 2016 Problem 4 | PSB Sample Read More

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 .

Pentagon & Square Pattern | AMC-10A, 2001 | Problem 18 Read More

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.

Fair coin Problem | AIME I, 1990 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Fair Coin Problem.

Problem on Limit | ISI B.Stat Objective | TOMATO 728 Read More

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.

Real valued function | ISI B.Stat Objective | TOMATO 690 Read More

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.

Sum of the numbers | AMC-10A, 2001 | Problem 16 Read More

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.

Convex polyhedron Problem | AIME I, 1988 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament.

ISI MStat 2016 (Sample) Problem 2 | Continuous function | PSB Read More

This is a beautiful sample problem from ISI MStat 2016 PSB Problem 2.This is based on application of continuity and integration .

Ordered pair Problem | AIME I, 1987 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Ordered pair. You may use sequential hints.

Circular Cylinder Problem | AMC-10A, 2001 | Problem 21 Read More

Try this beautiful problem from Geometry: circular cylinder from AMC-10A, 2001. You may use sequential hints to solve the problem.

Positive divisor | AIME I, 1988 | Question 5Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament.

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Derivative of Function | TOMATO BStat Objective 763 Read More

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.

Area of the Region Problem | AMC-10A, 2007 | Problem 24 Read More

Try this beautiful problem from Geometry: Area of region from AMC-10A, 2007, Problem-24. You may use sequential hints to solve the problem.

Algebraic Equation | AMC-10A, 2001 | Problem 10 Read More

Try this beautiful problem from algebra, based on algebraic equations from AMC-10A, 2001. You may use sequential hints to solve the problem.

Trace & Determinant | ISI MStat 2017 Problem 1 | PSB Read More

This is a beautiful problem from ISI MStat 2017 PSB based on matrices . We provide details solution with the prerequisites mentioned explicilty.

Head Tail Problem | AIME I, 1986 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Head Tail Problem.

Expansion Problem | ISI B.Stat Objective | TOMATO 102 Read More

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.

Rearrangement Problem | PRMO 2019 | Question 27 Read More

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.

Natural Numbers Problem | PRMO 2019 | Question 30 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on natural numbers. You may use sequential hints to solve the problem.

Arranging in column | AIME I, 1990 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle.

Surface Area Problem | TOMATO BStat Objective 725Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints.

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ISI MStat 2016 Problem 5 | Order Statistics | PSB Sample Read More

This is a beautiful problem ISI MStat 2016 (sample) PSB based on order statistics . We provide detailed solution with the prerequisites mentioned explicitly.

Sum of the digits | AMC-10A, 2007 | Problem 25 Read More

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

Integers and Divisors | ISI-B.Stat Entrance | TOMATO 98 Read More

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.

Problem on Circumscribed Circle | AMC-10A, 2003 | Problem 17 Read More

Try this beautiful problem from Geometry:Radius of a circle.AMC-10A, 2003. You may use sequential hints to solve the problem

Medians of triangle | PRMO-2018 | Problem 10 Read More

Try this beautiful problem from Geometry based on medians of triangle from PRMO 2018. You may use sequential hints to solve the problem.

Sum of Co-ordinates | AMC-10A, 2014 | Problem 21 Read More

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.

Area of Hexagon Problem | AMC-10A, 2014 | Problem 13 Read More

Try this beautiful problem from Geometry based on Hexagon from AMC-10A, 2014. You may use sequential hints to solve the problem

Hyperbola & Tangent | ISI MStat 2016 Problem 1 | PSB Sample Read More

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 .

Diameter of a circle | PRMO 2019 | Question 25Try this beautiful problem from the Pre-RMO, 2019 based on the Diameter of a circle. You may use sequential hints to solve the problem.

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Problem on Positive Integers | PRMO-2019 | Problem 26 Read More

Try this beautiful problem from Algebra based on positive integers from PRMO 2019. You may use sequential hints to solve the problem.

Combination of Equations | SMO, 2010 | Problem No. 7 Read More

Try this beautiful problem from Singapore Mathematical Olympiad, SMO, 2010 - Problem 7 based on the combination of equations.

Largest Possible Value | PRMO-2019 | Problem 17 Read More

Try this beautiful problem from PRMO, 2019, problem-17, based on Largest Possible Value Problem. You may use sequential hints to solve the problem.

Sign change | ISI-B.stat | Objective Problem 709 Read More

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.

Limit Problem | ISI-B.stat | Objective Problem 694 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Calculus. You may use sequential hints to solve the problem.

Combinatorics in Tournament | AIME I, 1985 | Question 14Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament.

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Maximum and Minimum Element | TOMATO BStat Objective 715 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Maximum and Minimum Element. You may use sequential hints.

Problem on Function | TOMATO BStat Objective 720 Read More

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.

Interior Angle Problem | AIME I, 1990 | Question 3Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle.

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Smallest positive Integer Problem | AIME I, 1990 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Smallest positive Integer.

Proper divisors | AIME I, 1986 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Proper divisors.

Algebraic value | AIME I, 1990 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Algebraic value.

Dice Problem | AMC-10A, 2011 | Problem 14 Read More

Try this beautiful problem from Probability based on dice from AMC-10A, 2011. You may use sequential hints to solve the problem

Area of Region in a Circle | AMC-10A, 2011 | Problem 18 Read More

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.

Positive solution | AIME I, 1990 | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Positive solution.

Smallest positive value | Algebra | PRMO-2019 | Problem 13 Read More

Try this beautiful problem from Algebra based smallest positive value from PRMO 2019. You may use sequential hints to solve the problem.

Regular polygon | Combinatorics | PRMO-2019 | Problem 15 Read More

Try this beautiful problem from combinatorics based on Regular Polygon from PRMO 2019. You may use sequential hints to solve the problem.

Greatest Integer | PRMO 2019 | Question 22 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Greatest Integer. You may use sequential hints to solve the problem.

Parallelogram Problem | AIME I, 1996 | Question 15 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Parallelogram Problem.

Good numbers Problem | PRMO-2019 | Problem 12 Read More

Try this beautiful problem from PRMO, 2019, problem-12, based on Integer Problem. You may use sequential hints to solve the problem.

Graph in Calculus | ISI-B.stat | Objective Problem 699 Read More

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.

Set of real numbers | TOMATO B.Stat Objective 714 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Set of real numbers. You may use sequential hints.

Right Rectangular Prism | AIME I, 1995 | Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Right Rectangular Prism.

ISI MStat 2016 Problem 10 | PSB Sample | It's a piece of cake! Read More

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.

Sectors in Circle | AMC-10A, 2012 | Problem 10 Read More

Try this beautiful problem from Geometry: Sectors in Circle from AMC-10A, 2012. You may use sequential hints to solve the problem

Sum of whole numbers | AMC-10A, 2012 | Problem 8 Read More

Try this beautiful problem from Algebra: Sum of whole numbers from AMC-10A, 2012. You may use sequential hints to solve the problem

Pyramid with Square base | AIME I, 1995 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Pyramid with Square base.

Repeatedly Flipping a Fair Coin | AIME I, 1995| Question 15 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Repeatedly Flipping a Fair Coin.

Problem on Largest Prime Factor | PRMO 2019 | Question 21 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem.

Number of roots Problem | TOMATO B.Stat Objective 712 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of roots. You may use sequential hints.

Trigonometry Simplification | SMO, 2009 | Problem 26 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Trigonometry Simplification. You may use sequential hints.

Roots of Equation | TOMATO B.Stat Objective 711 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Periodic Function. You may use sequential hints.

Sum of digits | PRMO 2019 | Question 20Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem.

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Smallest positive Integer | AIME I, 1993 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Smallest positive Integer.

Equation of X and Y | AIME I, 1993 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Equation of X and Y.

Area of quadrilateral | AMC-10A, 2020 | Problem 20 Read More

Try this beautiful problem from Geometry: Area of quadrilateral from AMC-10A, 2020. You may use sequential hints to solve the problem.

Tetrahedron Problem | AMC-10A, 2011 | Problem 24 Read More

Try this beautiful problem from Geometry:Tetrahedron box from AMC-10A, 2011. You may use sequential hints to solve the problem

Problem from Inequality | PRMO-2018 | Problem 23 Read More

Try this beautiful problem from PRMO, 2018 based on Algebra: Inequality You may use sequential hints to solve the problem.

Periodic Function | TOMATO B.Stat Objective 710Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Periodic Function. You may use sequential hints.

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Largest Area of Triangle | AIME I, 1992 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Largest Area of Triangle.

Direction & Angles | PRMO-2019 | Problem 4 Read More

Try this beautiful problem from PRMO, 2019, problem-4, based on Geometry: Direction & Angles. You may use sequential hints to solve the problem.

Negative & Positive Roots | ISI-B.stat | Objective Problem 708 Read More

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.

Problem on Calculus | ISI-B.stat | Objective Problem 696Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Calculus. You may use sequential hints to solve the problem.

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Rearrangement Problem | TOMATO B.Stat Objective 125 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and Roots. You may use sequential hints.

Problem on Equilateral Triangle | AMC-10A, 2010 | Problem 14 Read More

Try this beautiful Geometry Problem on Equilateral Triangle from AMC-10A, 2010.You may use sequential hints to solve the problem.

Cubical Box | AMC-10A, 2010 | Problem 20 Read More

Try this beautiful problem from Geometry:cubical box from AMC-10A, 2010. You may use sequential hints to solve the problem

Graphs in Calculus | ISI-B.stat | Objective Problem 698 Read More

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.

Roots of cubic equation | AMC-10A, 2010 | Problem 21 Read More

Try this beautiful problem from Algebra:Roots of cubic equation from AMC-10A, 2010. You may use sequential hints to solve the problem

CLT and Confidence Limits | ISI MStat 2016 PSB Problem 8 Read More

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.

GP and 2-digit number | PRMO 2017 | Question 16 Read More

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.

Medians | Geometry | PRMO-2018 | Problem 13 Read More

Try this beautiful problem from PRMO, 2018 based on Geometry. You may use sequential hints to solve the problem.

Quadratic equation | ISI-B.stat | Objective Problem 240 Read More

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.

Hexagon Problem | Geometry | AMC-10A, 2010 | Problem 19 Read More

Try this beautiful problem from Geometry: Hexagon from AMC-10A, 2010. You may use sequential hints to solve the problem.

Altitudes of triangle | PRMO 2017 | Question 17 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Altitudes of triangle. You may use sequential hints to solve the problem.

Digits and Rationals | AIME I, 1992 | Question 5Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Rationals.

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Sum of digits | AMC-10A, 2020 | Problem 8 Read More

Try this beautiful problem from Algebra, based on Sum of digits from AMC-10A, 2020. You may use sequential hints to solve the problem

Integer Problem | AMC 10A, 2020 | Problem 17 Read More

Try this beautiful problem from Number theory based on Integer from AMC-10A, 2020. You may use sequential hints to solve the problem.

Average and Integers | PRMO 2017 | Question 15 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Average and Integers. You may use sequential hints to solve the problem.

Problem on Probability from SMO, 2012 | Problem 33 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2012 based on Probability. You may use sequential hints to solve the problem.

Equations and Roots | TOMATO B.Stat Objective 123Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and Roots. You may use sequential hints.

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Row of Pascal Triangle | AIME I, 1992 | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Row of Pascal Triangle.

Life Testing Experiment | ISI MStat 2017 PSB Problem 5 Read More

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.

Unbiased, Pascal and MLE | ISI MStat 2019 PSB Problem 7 Read More

This is a problem from the ISI MStat Entrance Examination,2019 involving the MLE of the population size and investigating its unbiasedness.

Vandermone's SRSWR | MStat 2017 PSB Problem 3 Read More

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.

Time & Work Problem | PRMO-2017 | Problem 3 Read More

Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2017 based on Time & Work. You may use sequential hints to solve the problem.

Problem on Balls | ISI-B.stat | Objective Problem 128 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on balls. You may use sequential hints to solve the problem.

Digits and Order | AIME I, 1992 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Digits and Order.

Sets and Integers | TOMATO B.Stat Objective 121 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Sets and Integers. You may use sequential hints.

Ratio and Inequalities | AIME I, 1992 | Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Ratio and Inequalities.

Problem on Geometric Progression | PRMO 2017 | Question 14 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Geometric Progression. You may use sequential hints to solve the problem.

Let's Permute | ISI MStat 2018 PSB Problem 3 Read More

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.

Problem on Area of Trapezoid | AMC-10A, 2002 | Problem 25 Read More

Try this beautiful problem from Geometry: Area of Trapezoid from AMC-10A, 2002. You may use sequential hints to solve the problem.

Ratio Of Two Triangles | AMC-10A, 2004 | Problem 20 Read More

Try this beautiful problem from AMC-10A, 2004 based on ratio of two triangles.You may use sequential hints to solve the problem.

Quadratic equation Problem | AMC-10A, 2002 | Problem 12 Read More

Try this beautiful problem from Algebra on Quadratic equation from AMC-10A, 2002. You may use sequential hints to solve the problem.

Arbitrary Arrangement | TOMATO B.Stat Objective 119 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Arbitrary Arrangement. You may use sequential hints.

Remainders and Functions | AIME I, 1994 | Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Remainders and Functions.

Problem on Rational Numbers | AIME I, 1992 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1992 based on Rational Numbers.

Telescopic Continuity | ISI MStat 2015 PSB Problem 1 Read More

This problem is a simple application of the sequential definition of continuity from ISI MStat 2015 PSB Problem 1.

Invariant Regression Coefficient | ISI MStat 2019 PSB Problem 8 Read More

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.

Size, Power, and Condition | ISI MStat 2019 PSB Problem 9 Read More

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.

Points of Equilateral triangle | AIME I, 1994 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Points of Equilateral triangle.

Problem on Real numbers | Algebra | PRMO-2017 | Problem 18 Read More

Try this beautiful problem from Algebra based on real numbers from PRMO 2017. You may use sequential hints to solve the problem.

Problem on Ratio | PRMO 2017 | Question 12 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on ratio and proportion. You may use sequential hints to solve the problem.

Largest possible value | AMC-10A, 2004 | Problem 15 Read More

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.

Problem on Cylinder | AMC-10A, 2004 | Problem 11 Read More

Try this beautiful problem from AMC 10A, 2004 based on Mensuration: Cylinder. You may use sequential hints to solve the problem.

Length of a Tangent | AMC-10A, 2004 | Problem 22 Read More

Try this beautiful problem from AMC-10A, 2004 based on Triangle. You may use sequential hints to solve the problem.

Shift the Curves | ISI MStat 2019 PSB Problem 1 Read More

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.

Neyman Welcomes You | ISI MStat 2018 PSB Problem 8 Read More

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.

Conditions and Chance | ISI MStat 2018 PSB Problem 5 Read More

This problem is a cute application of joint distribution and conditional probability. This is the problem 5 from ISI MStat 2018 PSB.

Binomial Expression | TOMATO B.Stat Objective 117 Read More

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.

Right angled triangle | AIME I, 1994 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Right angled triangle.

Perfect square and Positive Integer | TOMATO B.Stat Objective 115 Read More

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.

Complex roots and equations | AIME I, 1994 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Complex roots and equations.

Length and Inequalities | AIME I, 1994 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Length and Inequalities.

Trigonometry & natural numbers | PRMO 2017 | Question 11 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers. You may use sequential hints to solve the problem.

Integer Problem | ISI BStat | Objective Problem 156 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance from Integer based on divisibility. You may use sequential hints.

Probability | AMC-10A, 2003 | Problem 8 Read More

Try this beautiful problem from Probability: positive factors AMC-10A, 2003. You may use sequential hints to solve the problem

Numbers on cube | AMC-10A, 2007 | Problem 11 Read More

Try this beautiful problem from AMC 10A, 2007 based on Numbers on cube. You may use sequential hints to solve the problem.

Pairs of Positive Integer | ISI-B.stat | Objective Problem 178 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Pairs of Positive Integer. You may use sequential hints.

Quadratic equation | ISI-B.stat | Objective Problem 198 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Quadratic equation You may use sequential hints.

Symmetry, Counting, and Partition | ISI MStat PSB 2015 Problem 4 Read More

This problem is an application of the non negative integer solution and the symmetry argument. This is from ISI MStat 2015 PSB Problem 4.

Application of Cauchy Functional Equations | ISI MStat 2019 PSB Problem 4 Read More

This problem is a beautiful application of the probability theory and cauchy functional equation. This is from ISI MStat 2019 PSB problem 4.

GCD and Ordered pair | AIME I, 1995 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on GCD and Ordered pair.

Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 2a Read More

Try this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

Integers and Inequality | PRMO 2017 | Question 7 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Integers and Inequality. You may use sequential hints to solve the problem.

Problem on Permutation | SMO, 2011 | Problem No. 24 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2011 based on Permutation. You may use sequential hints to solve the problem.

Diamond Pattern | AMC-10A, 2009 | Problem 15 Read More

Try this beautiful problem from AMC-10A, 2009 based on Diamond Pattern. You may use sequential hints to solve the problem.

Problem on Digits | TOMATO B.Stat Objective 111 Read More

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.

Problem on Positive Integer | AIME I, 1995 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles.

Series Problem | PRMO 2017 | Question 6 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Series Problem. You may use sequential hints to solve the problem.

Trigonometry and greatest integer | AIME I, 1997 | Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Trigonometry and greatest integer.

Trigonometry and positive integers | AIME I, 1995 | Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Trigonometry and positive integers.

Central Limit Theorem by Simulation ( R Studio) Read More

This post verifies central limit theorem with the help of simulation in R for distributions of bernoulli, uniform and poisson.

Data, Determinant and Simplex Read More

This problem is a beautiful problem connecting linear algebra, geometry and data. Go ahead and dwelve into the glorious connection.

Arrangement in a Ring | TOMATO B.Stat Objective 103 Read More

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.

Odd and Even integers | AIME I, 1997 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Odd and Even integers.

Two and Three-digit numbers | AIME I, 1997 | Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Two and Three-digit numbers.

Geometric Progression and Integers | PRMO 2017 | Question 5 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Geometric Progression and Integers. You may use sequential hints to solve the problem.

Number of triangles in Polygon | TOMATO B.Stat Objective 105 Read More

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.

Problem on Integral Inequality | ISI - MSQMS - B, 2015 Read More

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.

Sitting arrangement | ISI-B.stat | Objective Problem 120 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sitting Arrangement. You may use sequential hints.

Probability Dice Problem | AMC-10A, 2009 | Problem 22 Read More

Try this beautiful problem from Probability in Dice from AMC-10A, 2009. You may use sequential hints to solve the problem.

Problem on Trigonometry | SMO, 2008 | Problem - 22 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem.

Application of Pythagoras Theorem | SMO, 2010 | Problem 22 Read More

Try this problem from the Singapore Mathematics Olympiad, SMO, 2010 based on the application of the Pythagoras Theorem. You may use sequential hints.

Counting Double Subsets | ISI MStat 2014 Sample PSB Problem 3 Read More

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.

Inequality Problem From ISI - MSQMS - B, 2017 | Problem 3a Read More

Try this problem from ISI MSQMS 2017 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

Probability in Divisibility | AMC-10A, 2003 | Problem 15 Read More

Try this beautiful problem from Probability based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.

Problem based on Triangles | PRMO-2018 | Problem 12 Read More

Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2018 based on Triangles. You may use sequential hints to solve the problem.

Functional Equations Problem | SMO, 2012 | Problem 33 Read More

Try this beautiful Problem from Singapore Mathematics Olympiad, 2012 based on Functional Equations. You may use sequential hints to solve the problem.

Trigonometry Problem from SMO, 2008 | Problem No.17 Read More

Try this beautiful Problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem.

Pattern Problem | AMC-10A, 2003 | Problem 23 Read More

Try this beautiful problem from Pattern based on Triangle from AMC-10A, 2003. You may use sequential hints to solve the problem

Divisibility Problem from AMC 10A, 2003 | Problem 25 Read More

Try this beautiful problem from Number theory based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.

Condition checking | ISI-B.stat Entrance | Objective Problem 60 Read More

Try this beautiful problem from Inequation from TOMATO useful for ISI B.Stat Entrance based on condition checking.You may use sequential hints.

Elchanan Mossel's Dice Paradox | ISI MStat 2018 PSB Problem 6 Read More

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.

Perfect square Problem | AIME I, 1999 | Question 3Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

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Function of Complex numbers | AIME I, 1999 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Function of Complex numbers.

Squares and Triangles | AIME I, 1999 | Question 4Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles.

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Sum of squares of two numbers | B.Stat Objective | TOMATO 77 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

Non-Consecutive Selection | ISI MStat 2019 PSB Problem 3 Read More

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.

Intertwined Conditional Probability | ISI MStat 2016 PSB Problem 4 Read More

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.

Series and Integers | B.Stat Objective | TOMATO 81 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Series and Integers. You may use sequential hints.

A Parallelogram and a Line | AIME I, 1999 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on A Parallelogram and a Line.

Triangle and Integer | PRMO 2019 | Question 28 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Triangle and Integer. You may use sequential hints to solve the problem.

Combination of Sequence | B.Stat Objective | TOMATO 79 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence. You may use sequential hints.

Venny Venny AMy GMy | ISI MStat 2016 PSB Problem 3 Read More

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.

Smallest prime Problem | AIME I, 1999 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Smallest prime.

Area of Triangle and Integer | PRMO 2019 | Question 29 Read More

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.

Cones and circle | AIME I, 2008 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Cones and circle.

Incentre and Triangle | AIME I, 2001 | Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Incentre and Triangle.

Likelihood & the Moment | ISI MStat 2016 PSB Problem 7 Read More

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.

Merry-go-round Problem | ISI-B.Stat Entrance | TOMATO 104 Read More

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.

Octahedron Problem | AMC-10A, 2006 | Problem 24 Read More

Try this beautiful problem from Geometry: Octahedron AMC-10A, 2006. You may use sequential hints to solve the problem

Probability in Coordinates | AMC-10A, 2003 | Problem 12 Read More

Try this beautiful problem from Probability in Coordinates from AMC-10A, 2003. You may use sequential hints to solve the problem.

Problem based on Triangle | PRMO-2012| Problem 7 Read More

Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2012 based on Triangle You may use sequential hints to solve the problem.

Triangle and Trigonometry | AIME I, 1999 Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Triangle and Trigonometry.

Problem on HCF | SMO, 2013 | Problem 35 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2013 based on HCF. You may use sequential hints to solve the problem.

Problem on Area of Triangle | SMO, 2010 | Problem 32 Read More

Try this beautiful problem from Singapore Mathematics Olympiad based on area of triangle. You may use sequential hints to solve the problem.

Integers and remainders | TOMATO B.Stat Objective 85 Read More

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.

Probability in Games | AIME I, 1999 | Question 13 Read More

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 1999 based on Probability in Games. You may use sequential hints.

Least Positive Integer Problem | AIME I, 2000 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Least Positive Integer.

Theory of Equations | AIME I, 2015 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Theory of Equations.

Equations and Complex numbers | AIME I, 2019 Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2019 based on Equations and Complex numbers.

Correlation of two ab(Normals) | ISI MStat 2016 PSB Problem 6 Read More

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.

Area of Equilateral Triangle | AIME I, 2015 | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 from Geometry based on Area of Equilateral Triangle.

Probability Problem | Combinatorics | AIME I, 2015 - Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Probability. You may use sequential hints.

Probability of tossing a coin | AIME I, 2009 | Question 3 Read More

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on Probability of tossing a coin.

Probability of divisors | AIME I, 2010 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability of divisors.

Equations with number of variables | AIME I, 2009 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2009 based on Equations with a number of variables.

Logic and Group | TOMATO B.Stat Objective Question Read More

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.

Coordinate Geometry Problem | AIME I, 2009 Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Coordinate Geometry.

Exponents and Equations | AIME I, 2010 Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Exponents and Equations.

Two Arrangements | PRMO 2019 | Question 5 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Two Arrangements. You may use sequential hints to solve the problem.

Arrangement of digits | AIME I, 2012 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2012 based on Arrangement of Digits. You may use sequential hints.

Complex Numbers and prime | AIME I, 2012 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Complex Numbers and prime.

Geometric Sequence Problem | AIME I, 2009 | Question 1 Read More

Try this beautiful problem from American Invitational Mathematics Examination I, AIME I, 2009 based on geometric sequence. Use hints to solve the problem.

Cycles, Symmetry, and Counting | ISI MStat 2016 PSB | Problem 2 Read More

This problem from ISI MStat 2016 PSB is a beautiful application of basic counting principles, symmetry and double counting principles in combinatorics.

Restricted Regression Problem | ISI MStat 2017 PSB Problem 7 Read More

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.

Problem on Natural Numbers | TIFR B 2010 | Problem 4 Read More

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Definite Integral Problem | ISI 2018 | MSQMS- A | Problem 22 Read More

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Problem on Functional Equation | SMO, 2010 | Problem 31 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2010 based on functional equation. You may use sequential hints.

Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 4bTry this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

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Inequality Problem | ISI - MSQMS 2018 | Part B | Problem 4 Read More

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Trigonometry Problem | PRMO 2016 | Question 14 Read More

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Lock and Key | ISI MStat 2017 PSB | Problem 6 Read More

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.

Roots of Equations | PRMO-2016 | Problem 8 Read More

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Remainder Problem | ISI-B.Stat Entrance | TOMATO 90 Read More

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Composite number Problem | B.Stat Objective | TOMATO 75Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

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Triangles and sides | AIME I, 2009 | Question 5 Read More

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Rectangles and sides | AIME I, 2011 | Question 2Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

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Positive Integers Problem | TIFR B 201O | Problem 12 Read More

Try this problem of TIFR GS-2010 using your concepts of number theory based on Positive Integers. You may use the sequential hints provided.

A Telescopic Sequence| ISI MStat 2018 PSB Problem 2 Read More

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Measuring the length in Triangle | AMC-10B, 2011 | Problem 9 Read More

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Area of Triangle Problem | AMC-10A, 2009 | Problem 10 Read More

Try this beautiful problem from Geometry: Area of triangle from AMC-10A, 2009, Problem-10. You may use sequential hints to solve the problem.

Arithmetic Progression | AMC-10B, 2004 | Problem 21 Read More

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Area of the Trapezium | AMC-10A, 2018 | Problem 24 Read More

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CYCLIC GROUP Problem | TIFR 201O | PART A | PROBLEM 1 Read More

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Problem based on Triangle | PRMO-2016 | Problem 10 Read More

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The Unique Decomposition | ISI MStat 2015 PSB Problem 3 Read More

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.

Sequence and Integers | AIME I, 2007 | Question 14 Read More

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Patterns and Integers | AIME I, 2001 | Question 14 Read More

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Centroids and Area | PRMO 2018 | Question 21 Read More

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Logic and Integers | B.Stat Objective | TOMATO 73 Read More

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REAL ANALYSIS PROBLEM | TIFR A 201O | PROBLEM 5 Read More

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Centroid of Triangle | SMO, 2009 | Problem 1 Read More

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Rectangle and Squares | PRMO 2019 | Question 24 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Rectangle and Squares. You may use sequential hints to solve the problem.

Invariant Regression Estimate | ISI MStat 2016 PSB Problem 7 Read More

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.

Discover the Covariance | ISI MStat 2016 Problem 6 Read More

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Tracing the Trace | ISI MStat 2016 PSB Problem 3 Read More

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Planes and distance | AIME I, 2011 | Question 13 Read More

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GCD and Sequence | AIME I, 1985 | Question 13 Read More

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Equations and roots | B.Stat Objective | TOMATO 71 Read More

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GCD and Primes | PRMO 2017 | Question 29 Read More

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Integer and Divisibility | B.Stat Objective | TOMATO 69 Read More

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Series Problem | SMO, 2013 | Problem 27 Read More

Try this beautiful problem from Singapore Mathematics Problem, SMO, 2012 based on Series. You may use sequential hints to solve the problem.

Function and symmetry | AIME I, 1984 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1984 based on Function and symmetry. You may use sequential hints.

Problem on Prime Numbers | SMO, 2012 | Problem 20 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2012 based on Prime numbers. You may use sequential hints to solve the problem.

Logic and speed | AIME I, 2008 | Question 3 Read More

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Logic True-False Reasoning | B.Stat Objective | TOMATO 67Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

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Problem based on Triangle | PRMO-2018 | Problem 21 Read More

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Problem based on LCM | AMC 8, 2016 | Problem 20 Read More

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Ratio of LCM & GCF | Algebra | AMC 8, 2013 | Problem 10 Read More

Try this beautiful problem from Algebra aboutRatio of Lcm & gcf from AMC-8, 2013. You may use sequential hints to solve the problem.

Equations and Integers | AIME I, 2008 | Question 4 Read More

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Inverse Uniform Distribution | ISI MStat 2007 PSB Problem 4 Read More

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.

Logic and True-False | B.Stat Objective | TOMATO 65 Read More

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Area of The Region | AMC-8, 2017 | Problem 25 Read More

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Problem on Series | SMO, 2009 | Problem No. 25 Read More

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Area of the figure | AMC-8, 2014 | Problem 20 Read More

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

Collect All The Toys | ISI MStat 2013 PSB Problem 9 Read More

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.

Smallest Positive Integer | PRMO 2019 | Question 14 Read More

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Squares and Triangles | AIME I, 2008 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Squares and Triangles.

Relations and Numbers | B.Stat Objective | TOMATO 63 Read More

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.

Percentage Problem | AIME I, 2008 | Question 1 Read More

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Two-Faced Problem | ISI MStat 2013 PSB Problem 1 Read More

This post gives you both an analytical and a statistical insight into ISI MStat 2013 PSB Problem 1. Stay Tuned!

Angles in a circle | PRMO-2018 | Problem 8 Read More

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Circles and Triangles | AIME I, 2012 | Question 13 Read More

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Complex Numbers and Triangles | AIME I, 2012 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Complex Numbers and Triangles.

Triangles and Internal bisectors | PRMO 2019 | Question 10 Read More

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Eigen Values | ISI MStat 2019 PSB Problem 2 Read More

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Problem on Semicircle | AMC 8, 2013 | Problem 20 Read More

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Linear Equations | AMC 8, 2007 | Problem 20 Read More

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Radius of semicircle | AMC-8, 2013 | Problem 23 Read More

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Digit Problem from SMO, 2012 | Problem 14 Read More

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Perfect cubes | Algebra | AMC 8, 2018 | Problem 25 Read More

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.

Time and Work | PRMO-2017 | Problem 3 Read More

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Problem based on Integer | PRMO-2018 | Problem 4 Read More

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Integer | ISI-B.stat Entrance(Objective from TOMATO) | Problem 72 Read More

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Counting Principle - Concept with Problem | Combinatorics Read More

Learn the concept of the Counting Principle and make algorithms to count complex things in a simpler way with the help of Combinatorics problem.

Area of a Regular Hexagon | AMC-8, 2012 | Problem 23 Read More

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Mean Square Error | ISI MStat 2019 PSB Problem 5 Read More

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.

Rational Number and Integer | PRMO 2019 | Question 9 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Lines and Angles. You may use sequential hints to solve the problem.

Inequations and Conditions | ISI B.Stat TOMATO Problem Read More

Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Inequations and conditions. Inequations and Conditions (B.Stat Objective problems) When \(x(A-x) \lt y(A-y)\) for all x,y with\(0 \lt x \lt y \lt1\), find the condition that holds Key Concepts Check the Answer Try with Hints Other useful links https://www.cheenta.com/gcd-and-bezout-theorem/ https://www.youtube.com/watch?v=w0Y2oXoyEEQ&t=6s Related Program Subscribe to […]

Box and ball Probability | B.Stat Objective TOMATO Problem 59 Read More

Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Box and ball Probability. Box and ball Probability ( B.Stat Objective Problem ) 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 […]

Area of Triangle Problem | AMC-8, 2019 | Problem 21 Read More

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Triangular Number Sequence | Explanation with Application Read More

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.

Combination of Cups | PRMO-2018 | Problem 11 Read More

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Sequence | Arithmetic and Geometric | Learn with Problems Read More

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

Central Limit Theorem | ISI MStat 2018 PSB Problem 7 Read More

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.

Probability Theory | ISI MStat 2015 PSB Problem B5 Read More

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.

Cumulative Distributive Function | ISI M.Stat 2019 PSB Problem B6 Read More

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.

Maximum Likelihood Estimation | ISI MStat 2017 PSB Problem 8 Read More

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Lines and Angles | PRMO 2019 | Question 7Try this beautiful problem from the Pre-RMO, 2019 based on Lines and Angles. You may use sequential hints to solve the problem.

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Logarithm and Equations | AIME I, 2012 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Logarithm and Equations.

Cross section of solids and volumes | AIME I 2012 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Cross section of solids and volumes.

Angles of Star | AMC 8, 2000 | Problem 24 Read More

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Problem based on Integer | PRMO-2018 | Problem 6 Read More

Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem.

Number counting | TOMATO ISI BStat Objective Problem 56 Read More

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Area of a Triangle | AMC-8, 2000 | Problem 25 Read More

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.

Unit digit | Algebra | AMC 8, 2014 | Problem 22 Read More

Try this beautiful problem from Algebra about unit digit from AMC-8, 2014. You may use sequential hints to solve the problem.

Trapezium | Geometry | PRMO-2018 | Problem 5 Read More

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Partial Differentiation | IIT JAM 2017 | Problem 5 Read More

Try this problem from IIT JAM 2017 exam (Problem 5).It deals with calculating the partial derivative of a multi-variable function.

Probability Problem | AMC 8, 2016 | Problem no. 21 Read More

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Rolle's Theorem | IIT JAM 2017 | Problem 10 Read More

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Mixture | Algebra | AMC 8, 2002 | Problem 24 Read More

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Pattern Problem| AMC 8, 2002| Problem 23 Read More

Try this beautiful problem from Pattern from AMC-8(2002) problem no 23.You may use sequential hints to solve the problem.

Quadratic Equation Problem | PRMO-2018 | Problem 9Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem.

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Set theory | TOMATO ISI B.stat Objective | Problem 53 Read More

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Arrangement Problem | AIME I, 2012 | Question 3 Read More

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Area of the Trapezoid | AMC 8, 2002 | Problem 20 Read More

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Problem related to Money | AMC 8, 2002 | Problem 25 Read More

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.

Divisibility Problem | PRMO 2019 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle.

Area of Trapezoid | AMC 10A, 2018 | Problem 9 Read More

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Problem on Series and Sequences | SMO, 2012 | Problem 23 Read More

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Radius of Convergence of a Power series | IIT JAM 2016 Read More

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Problem from Probability | AMC 8, 2004 | Problem no. 21 Read More

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Smallest Perimeter of Triangle | AIME I, 2015 | Question 11Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle.

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Theory of Equations | AIME I, 2015 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Theory of Equations.

Trigonometry Problem | AIME I, 2015 | Question 13 Read More

Try this beautiful problem number 13 from the American Invitational Mathematics Examination, AIME, 2015 based on Trigonometry.

Circumscribed circle of the hexagon | PRMO 2018 | Problem 7 Read More

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Intersection of two Squares | AMC 8, 2004 | Problem 25 Read More

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Probability | AMC 8, 2004 | Problem no. 22 Read More

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Area of Rectangle Problem | AMC 8, 2004 | Problem 24 Read More

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Eigen Value of a matrix | IIT JAM 2017 | Problem 58 Read More

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The Mathematics of How Virus can Grow Read More

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.

Radius of the Circle | AMC-8, 2005 | Problem 25 Read More

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Area of Isosceles Triangle | AMC 8, 2005 | Problem 23 Read More

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

Cube of Positive Integer | Number Theory | AIME I, 2015 Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Cube of Positive Integer.

Arithmetic Sequence | AMC 10B, 2003 | Problem No. 24 Read More

Try this beautiful problem from AMC 10B, 2003 based on Arithmetic Sequence. You may use sequential hints to solve the problem.

Limit of a function | IIT JAM 2017 | Problem 8 Read More

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Problem on Area of Circle | SMO, 2010 (Junior) | Problem 29 Read More

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Number and Series | Number Theory | AIME I, 2015 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased.

Prime numbers | AMC 8, 2006| Problem 25 Read More

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Sum of Series from SMO - 2013 - Problem Number 29The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Largest and smallest numbers | AMC 8, 2006 | Problem 22 Read More

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Probability | AMC 8, 2010 | Problem no. 24 Read More

Try this beautiful problem from Probability from AMC-8(2007). You may use sequential hints to solve the problem.

Area of pinwheel | AMC 8, 2007 | Problem 23 Read More

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Probability Biased and Unbiased | AIME I, 2010 Question 4Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased.

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Gradient, Divergence and Curl | IIT JAM 2014 | Problem 5 Read More

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Area of Circle Problem | AMC 8, 2008 | Problem 25 Read More

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Number Theory of Primes | AIME I, 2015 Read More

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Functional Equation Problem from SMO, 2013 - Senior SectionThe simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Total surface area of a cube | AMC-8, 2009 | Problem 25 Read More

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Quadratic equation Problem | AMC 8, 2009 | Problem 23 Read More

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.

Area of the triangle and square | AMC 8, 2008 | Problem 23 Read More

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Differential Equation| IIT JAM 2014 | Problem 4 Read More

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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

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Inequality | HANOI 2018Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

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Squares and Square roots | HANOI 2018 Read More

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Squares and Inequality | HANOI 2018Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

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What is AMC 8 | How to prepare for AMC 8 Read More

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 […]

Largest Hexagon in Equilateral Triangle | HANOI 2018Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

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Definite Integral as Limit of a sum | ISI QMS | QMA 2019 Read More

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.

Problem from Area of Rectangle | SMO 2012 | Junior Section Read More

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Divisibility Problem | HANOI 2018 Read More

Try this beautiful problem from HANOI, 2018 based on Divisibility. You may use sequential hints to solve the problem if required.

The Exaggerated Triangle Inequality Read More

Triangle Inequality is an exaggerated version of the Basic Idea of the Euclidean Plane. Let's do some Triangle inequality Problems and Solutions.

Geometric Median |Understand the concept Read More

Geometric Median is an important concept in the intersection of Geometry, Data Analysis and Algorithms. This article explores the concept.

Page number counting |AMC 8- 2010 -|Problem 21 Read More

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Area of trapezoid | AMC 8, 2011|Problem 20 Read More

Try this beautiful problem from Geometry: The area of the trapezoid . You may use sequential hints to solve the problem.

Circles and points | HANOI 2018 Read More

Try this beautiful problem from HANOI, 2018 based on Circles and points. You may use sequential hints to solve the problem.

Circles and semi-circles| AMC 8, 2010|Problem 23 Read More

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Quadratic Equation | SMO, 2012 | Junior SectionThe simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Area of square and circle | AMC 8, 2011|Problem 25 Read More

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Sequence and Series | HANOI 2018 Read More

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Problem based on Inequalities | HANOI 2018 Read More

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Area of Circle - Singapore Mathematics Olympiad - 2013 Read More

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Ratio of the area of Square and Pentagon | AMC 8, 2013 Read More

Try this beautiful problem from Geometry: Ratio of the area between Square and Pentagon. . You may use sequential hints to solve the problem.

Area of Triangle and Square | AMC 8, 2012 | Problem 25 Read More

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

Area of star and circle | AMC-8, 2012|problem 24 Read More

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

Rational Numbers | Singapore Mathematics Olympiad, 2013 Read More

Try this beautiful problem from Singapore Mathematics Olympiad based on rational numbers. You may use sequential hints to solve the problem.

Circumference of a Semicircle | AMC 8, 2014 | Problem 25 Read More

Try this beautiful problem from Geometry based on Circumference of a Semicircle .You may use sequential hints to solve the problem

Divisibility | AMC 8, 2014 |Problem 21 Read More

Try this beautiful problem from Algebra based on multiplication and divisibility of Two given numbers. You may use sequential hints to solve the problem.

Rolling ball Problem | Semicircle |AMC 8- 2013 -|Problem 25 Read More

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.

Number Theory and Geometry | PRMO 2019 | Problem 6Try this beautiful problem from Pre RMO 2019 based on Number Theory and Geometry. You may use sequential hints to solve the problem.

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Minimal Polynomial of a Matrix | TIFR GS-2018 (Part B) Read More

Try this beautiful problem from TIFR GS 2018 (Part B) based on Minimal Polynomial of a Matrix. This problem requires knowledge linear algebra.

Geometry and Trigonometry | PRMO 2019 | Problem 11 Read More

Try this beautiful problem from Pre RMO, 2019 based on Geometry and Trigonometry. You may use sequential hints to solve the problem.

Number Theory | PRMO 2019 | Problem 3 Read More

Try this beautiful problem from Pre RMO, 2019 based on the number theory. You may use sequential hints to solve the problem.

Hexagon and Triangle |AMC 8- 2015 -|Problem 21 Read More

Try this beautiful problem from Geometry based on hexagon and Triangle . You may use sequential hints to solve the problem.

Area of Square - Singapore Mathematical Olympiad - 2013 - Problem No.17 Read More

Try this beautiful problem from Singapore Mathematical Olympiad. 2013 based on area of Square. You may use sequential hints to solve the problem.

Definite Integral & Expansion of a Determinant |ISI QMS 2019 |QMB Problem 7(a) Read More

Try this beautiful problem from ISI QMS 2019 exam. This problem requires knowledge of determinant and definite integral. Sequential hints are given here.

What is TIFR and how to prepare for it? Read More

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 […]

Complex Numbers | AIME I, 2009 | Problem 2 Read More

Try this beautiful problem from AIME, 2009 based on complex numbers. You may use sequential hints to solve the problem...

Area of a square | AMC 8- 2015| Problem 25 Read More

Try this beautiful problem from Geometry based on area of square.. You may use sequential hints to solve the problem

Combinations | AIME I, 2009 |Problem 9 Read More

Try this problem from American Invitational Mathematics Examination, AIME, 2019 based on combinations. You may use sequential hints to solve the problem.

Berkeley Math Tournament Read More

Here is an informative post on Berkeley Math Tournament, 2020. This tournament Group is an association established at the College of California-Berkeley.

Examples & Counterexamples - A Way to Build Your Own Mathematics Read More

This is an interesting article on how to build your own Mathematics with the help of examples and counter examples. Stay tuned.

Least common multiple | AMC 8, 2016 - Problem 20 Read More

Try this beautiful problem from Algebra based on Division algorithm (Least Common Multiple) You may use sequential hints to solve the problem.

Radius of a Semicircle | AMC 8, 2016 | Problem 25 Read More

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

Limit of a Sequence | IIT JAM 2018 | Problem 2 Read More

Try this beautiful problem from IIT JAM 2018 which requires knowledge of Real Analysis (Limit of a Sequence). We provide sequential hints.

Triangle Inequality Problem - AMC 12B, 2014 - Problem 13The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Definite Integral | IIT JAM 2018 | Problem 4 Read More

Try this beautiful problem from IIT JAM 2018 which requires knowledge of the properties of definite integral. We have sequential hints.

Number Theory - AMC 10A, 2018 - Problem 10 Read More

Try this beautiful problem from AMC 10A, 2018 based on number theory. You may use sequential hints to help you solve the problem.

Area of a Triangle -AMC 8, 2018 - Problem 20 Read More

Try this beautiful problem from AMC 8, 2018 based on the area of triangle. You may use sequential hints to solve the problem.

Functions and Equations |Pre-RMO, 2019The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Area of cube's cross section |Ratio | AMC 8, 2018 - Problem 24 Read More

Try this beautiful problem from Geometry: Ratio of the area of cube's cross section . You may use sequential hints to solve the problem.

Geometry of Plane figures | Pre-RMO 2019 Read More

Try this beautiful problem from Pre-RMO, 2019 based on Geometry of plane figures. You may use sequential hints to solve the problem.

Radius of a Semi Circle -AMC 8, 2017 - Problem 22 Read More

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.

Sets and Venn diagrams |B.Math Entrance Read More

Try this beautiful problem from B.Math Entrance Exam based on sets and venn diagrams. You may use sequential hints to solve the problem.

Triangle Inequality - Mathematical Circles - Problem No. 5 Read More

Try this beautiful problem from Mathematical Circles book based on triangle inequality. You may use sequential hints to solve the problem.

Radius of a Circle - SMO 2013 - Problem 25 Read More

Try this beautiful problem from Geometry based on the radius and tangent of a circle. You may use sequential hints to solve the problem.

Cubes and Rectangles | Math Olympiad Hanoi 2018The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Limit of a Function of two variables Read More

This is a Beautiful problem of calculating limit of a function of two variable from IIT JAM 2016. We provide sequential hints.

Order of General and Special Linear Group Read More

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.

Maximizing Arrangements Read More

Here is a post related to a problem based on maximizing arrangements in Mathematics. Try the problem and learn the solution.

Triple Integral | IIT JAM 2016 | Question 15 Read More

This is a beautiful problem from IIT JAM 2016, Question no.15 based on triple integral. We provide sequential hints to solve the problem.

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

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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

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Gaps in Permutation | TOMATO Objective Problem 145The simplest example of power mean inequality is the arithmetic mean - geometric mean inequality. Learn in this self-learning module for math olympiad

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Geometry of Tangents | ISI Entrance B.Stat 2009 Read More

Objective Problem Geometry (ISI Entrance) Find the radius of smaller circle. Key Concepts Check the Answer Try with Hints Watch the Video Other useful links https://www.youtube.com/watch?v=IgXv5Skqpsg&t=10s https://www.cheenta.com/series-and-trigonometry-isi-entrance-2009/ Related Program Subscribe to Cheenta at Youtube

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

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Relation Mapping (IIT JAM 2014) Read More

A beautiful problem involving the concept of relation-function and differentiation and integration. Learn in this self-learning module for College-Math

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

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PRMO - 2018 - Questions, Discussions, Hints, Solutions Read More

PRMO (Pre Regional Math Olympiad, India) 2018 questions, anawers, hints, solutions and discussions.

PRMO 2017 Problems and Solutions Read More

PRMO (Pre Regional Math Olympiad, India) 2017 questions, anawers, hints, solutions and discussions.