  How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?

October 23, 2021
Calculating Value of Zeta function using Julia - Part1

Author: Kazi Abu Rousan Where are the zeros of zeta of s? G.F.B. Riemann has made a good guess; They're all on the critical line, saith he, And their density's one over 2 p log t. Source https://www.physicsforums.com/threads/a-poem-on-the-zeta-function.16280/ If you are a person who loves to read maths related stuff then sure you have came […]

October 11, 2021
Infinite Series- ISI B.MATH 2006 | Problem - 1

Problem If $\sum_{n=1}^{\infty} \frac{1}{n^2} =\frac{{\pi}^2}{6}$ then $\sum_{n=1}^{\infty} \frac{1}{(2n-1)^2}$ is equal to (A) $\frac{{\pi}^2}{24}$ (B) $\frac{{\pi}^2}{8}$ (C) $\frac{{\pi}^2}{6}$ (D) $\frac{{\pi}^2}{3}$ Hint Try to write the summation as sum of square of reciprocal of odd numbers and even numbers and take the advantage of the infinite sum Solution $\sum_{n=1}^{\infty} \frac{1}{n^2} =\frac{{\pi}^2}{6}$ $\Rightarrow \sum_{n=1}^{\infty} \frac{1}{(2n)^2} + \sum_{n=1}^{\infty} \frac{1}{(2n-1)^2}= […] Read More October 9, 2021 A Probability Birthday problem along with Julia Programming Probability theory is nothing but common sense reduced to calculation. Pierre-Simon Laplace Today we will be discussing a problem from the second chapter of A First Course in Probability(Eighth Edition) by Sheldon Ross. Let's see what the problem says: Describing the Problem The problem(prob-48) says: Given 20 people, what is the probability that among the […] Read More October 7, 2021 ISI B.Math objective 2006 problem -2 Number theory (Euler phi function) PROBLEM Let$p$be an odd prime.Then the number of positive integers less than$2p$and relatively prime to$2p$is: (A)$p-2$(B)$\frac{p+1}{2} $(C)$p-1$(D)$p+1$SOLUTION This is a number theoretic problem .We can solve this problem in 2 different methods. Let us see them both one by one Method -1 Let us look […] Read More October 4, 2021 Pi calculating from Mandelbrot Set using Julia There should be no such thing as boring mathematics. Edsger W. Dijkstra In one of our previous post, we have discussed on Mandelbrot Set. That set is one of the most beautiful piece of art and mystery. At the end of that post, I have said that we can calculate the value of$\pi $[…] Read More September 30, 2021 Partition Numbers and a code to generate one in Python Author: Kazi Abu Rousan The pure mathematician, like the musician, is a free creator of his world of ordered beauty. Bertrand Russell Today we will be discussing one of the most fascinating idea of number theory, which is very simple to understand but very complex to get into. Today we will see how to find […] Read More September 28, 2021 ISI B.STAT PAPPER 2018 |SUBJECTIVE Problem Let$f$:$\mathbb{R} \rightarrow \mathbb{R}$be a continous function such that for all$x \in \mathbb{R}$and all$t\geq 0$f(x)=f(ktx) where$k>1$is a fixed constant Hint Case-1 choose any 2 arbitary nos$x,y$using the functional relationship prove that$f(x)=f(y)$Case-2 when$x,y$are of opposite signs then show that $$f(x)=f(\frac{x}{2})=f(\frac{x}{4})\dots$$ use continuity to […] Read More September 28, 2021 I.S.I B.STAT 2018 | SUBJECTIVE -4 PROBLEM Let$f (0,\infty)\rightarrow \mathbb{R}$be a continous function such that for all$x \in (0,\infty)f(x)=f(3x)$Define$g(x)= \int_{x}^{3x} \frac{f(t)}{t}dt$for$x \in (0,\infty)$is a constant function HINT Use leibniz rule for differentiation under integral sign SOLUTION using leibniz rule for differentiation under integral sign we get$g'(x)=f(3x)-f(x)\Rightarrow g'(x)=0$[ Because f(3x)=f(x)] […] Read More September 28, 2021 TESTING THE CONCEPT OF COPRIME NUMBERS | CMI 2015 PART B PROBLEM-3 PROBLEM Show that there are exactly$2$numbers$a$in the set$\{1,2,3\dots9400\}$such that$a^2-a$is divisible by$10000$HINT Use Modular arithmetic and concepts of coprime numbers SOLUTION we know$10000=2^4*5^4$In order for$10000$to divide$a^2-a$both$2^4$and$5^4$must divide$ a^2-a $Write$a^2-a=a(a-1)$Note that$a$and […] Read More September 28, 2021 Best algorithm to calculate Pi - Part1 Author: Kazi Abu Rousan$\pi$is not just a collection of random digits.$\pi$is a journey; an experience; unless you try to see the natural poetry that exists in$\pi$, you will find it very difficult to learn. Today we will see a python code to find the value of$\pi $up to […] Read More September 26, 2021 Monte Carlo Method to calculate Pi Author: Kazi Abu Rousan Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry’s little corner of it.$\pi$is truly one of the most fascinating things exist in mathematics. It's not just there in geometry, but it's also there in pendulum, […] Read More September 23, 2021 A code to find Primes - Sieve of Eratoshenes To some extent the beauty of number theory seems to be related to the contradiction between the simplicity of the integers and the complicated structure of the primes, their building blocks. This has always attracted people. A. Knauf from "Number theory, dynamical systems and statistical mechanics" This quote is indeed true. If you just think about the […] Read More September 23, 2021 How Mainack Paul got AIR-2 in IIT JAM MS 2021 Read More September 22, 2021 AMC 8, 2019 Problem 20 Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem. Read More September 19, 2021 How Abhradipta Ghosh got AIR-1 in IIT JAM MS 2021 Read More September 18, 2021 A simple convergence comparison between Leibniz's and mine pi formula Author: Kazi Abu Rousan Here there is$\pi$, there is circle. Today's blog will be a bit different. This will not discuss any formula or any proof, rather it will just contain a python program to compare a$\pi$formula given by Leibniz and a one discovered by me (blush). How does Leibniz formula looks […] Read More September 15, 2021 Your Personal Mandelbrot Set Author: Kazi Abu Rousan Bottomless wonders spring from simple rules, which are repeated without end. Benoit Mandelbrot Today, we will be discussing the idea for making a simple Mandelbrot Set using python's Matplotlib. This blog will not show you some crazy color scheme or such. But rather the most simple thing you can make from […] Read More September 14, 2021 AMC 8, 2019 Problem 20 Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem. Read More September 13, 2021 Collatz Conjecture and a simple program Author: Kazi Abu Rousan Mathematics is not yet ready for such problems. Paul Erdos Introduction A problem in maths which is too tempting and seems very easy but is actually a hidden demon is this Collatz Conjecture. This problems seems so easy that it you will be tempted, but remember it is infamous for eating […] Read More September 12, 2021 Easy Guide to Prepare for MathCounts Competition 2021 - 2022 What is Mathcounts? MATHCOUNTS is a national middle school mathematics contest held in different places in the U.S. states and territories. It is established in 1983, which provides engaging mathematics programs to the US middle school students of different ability levels to grow their confidence and improve the attitudes about mathematics and problem solving. Who are the […] Read More September 7, 2021 How Varun Balasubramanian cracked ISI Entrance 2021? Read More September 4, 2021 How Devansh Kamra made it to ISI B.Math 2021 Merit List Read More September 4, 2021 How Saptarshi Sadhukhan made it to CMI Entrance 2021 Read More September 3, 2021 Walking with the Masters reading a book written by a true master is like learning from him or her directly. It is an outstanding opportunity that none of us should miss. Here are some of those walks with the masters, that has transformed my life and the way I do mathematics. You may use this list of beautiful mathematics books to stay inspired. Read More September 2, 2021 How Aditya Prabhu made it to ISI B.Math 2021 Merit List Read More September 2, 2021 How Gnanananda Shreyas made it to ISI B.Math 2021 Merit List Read More September 1, 2021 What is AMC 12 | How to prepare for AMC 12, 2021 What is AMC 12? American Mathematics Contest 12 (AMC 12) is the 2nd stage of the Math Olympiad Contest in the US after AMC 8 and AMC 10. The contest is in multiple-choice format and aims to develop problem-solving abilities. The difficulty of the problems dynamically varies and is based on important mathematical principles. These […] Read More August 28, 2021 How Cheenta students did so well in ISI - CMI Entrances 9 Cheenta students ranked with top 100 in India and qualified for ISI and CMI Entrance. How did they achieve this? More importantly how Cheenta can help them next? Read More August 27, 2021 How Gautham Viswanathan cracked ISI & CMI Entrance 2021? Read More August 25, 2021 How Spandan Ghoshal got AIR-9 in IIT JAM MS 2021 Read More August 22, 2021 What is AMC 10 | How to prepare for AMC 10, 2021 ? What is AMC 10? American Mathematics Contest 10 (AMC 10) is the 2nd stage of the Math Olympiad Contest in the US after AMC 8. The contest is in multiple-choice format and aims to develop problem-solving abilities. The difficulty of the problems dynamically varies and is based on important mathematical principles. These contests have lasting […] Read More August 22, 2021 Number Theory in AMC 8, 2019 Problem 16 Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem. Read More August 21, 2021 AMC 8, 2019 Problem 17 | Smallest Positive Integer Try this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem. Read More August 20, 2021 How Abhinav Shukla got AIR-32 in IIT JAM MS 2021 Read More August 19, 2021 How Vaishnavi Jaiswal got AIR-4 in IIT JAM MS 2021 Read More August 19, 2021 IIT JAM Mathematics 2022: All you need to know to prepare for it About IIT JAM Mathematics IIT JAM Mathematics (MA) is considered one of the most sought-after master’s level competitive exams after BSc./B.Tech. Students can get direct admission into IITs and into IISC (upon clearing the interview). The IISER’s also take IIT JAM rank into account so all in all, it is a pretty important entrance if […] Read More August 14, 2021 Kishore Vaigyanik Protsahan Yojana (KVPY) 2021 About KVPY 2021 The Kishore Vaigyanik Protsahan Yojana 2021 is a National Program of Fellowship on Basic Sciences, conducted and funded by the Department of Science and Technology, Government of India. This fellowship aims to assist the students in realizing their potential at the national level and to make sure that the best scientific talent […] Read More August 11, 2021 Bernoulli Random Variable and Bernoulli Process Bernoulli Random Variable Story A trial is performed with probability$p$of "success", and$X$counts the number of successes: 1 means success (one success), 0 means failure (zero success). Definition $$X= \begin{cases}1 & \text {with probability } p \\ 0 & \text {with probability } 1-p \end{cases}$$ Example (Indicator Random Variable): Indicator Random Variable […] Read More August 8, 2021 ISI M.MATH 2021 Subjective Question Paper with Solutions This post contains the ISI M.Math 2021 Subjective Questions. It is a valuable resource for Practice if you are preparing for ISI M.Math. You can find some solutions here and try out others while discussing them in the comments below. ISI M.Math 2021 Problem 1: Let$M$be a real$n \times n$matrix with […] Read More August 7, 2021 Indus Inscriptions - Research Seminar at Cheenta Join the Cheenta Research Seminar on decoding Indus Vally Civilisation Inscriptions. The speaker's break through research articles are published in the prestigious Nature Group Journals. Read More August 5, 2021 B.Math 2009 Objective Paper| Problems & Solutions Problem 1: The domain of definition of$f(x)=-\log \left(x^{2}-2 x-3\right)$is (a)$(0, \infty)$(b)$(-\infty,-1)$(c)$(-\infty,-1) \cup(3, \infty)$(d)$(-\infty,-3) \cup(1, \infty)$Problem 2:$A B C$is a right-angled triangle with the right angle at B. If$A B=7$and$B C=24$, then the length of the perpendicular from$B$to$A C$is (a) […] Read More August 5, 2021 What to do after 12th Maths | Best Colleges in India & Abroad Read More July 31, 2021 No-short-cut approach at Cheenta 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. Read More July 30, 2021 Demo Post to Try out sTUFF Read More July 28, 2021 CMI 2019 Problem | Solving Complex Inequality using Geometry 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$z^{2019} − 1 = 0$over complex numbers that satisfy$|w + 1| ≥ 2 + √2$. The Solution: Some useful […] Read More July 23, 2021 Gaussian Prime Spiral and Its beautiful Patterns 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 […] Read More July 20, 2021 ISI B.Stat B.Math 2021 Objective Paper | Problems & Solutions 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} […]

July 19, 2021
ISI B.Stat B.Math 2021 Subjective Paper | Problems & Solutions

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 […]

July 18, 2021
CMI Entrance 2019 Problem from Transformation Geometry

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 $\angle O D C=\angle […] Read More July 17, 2021 ISI MStat Entrance 2021 Problems and Solutions PSA & PSB Problems and Solutions of ISI MStat Entrance 2020 of Indian Statistical Institute. Read More July 15, 2021 Rational Root Theorem Proof Explanation | Learn with Cheenta In this post, we will be learning about the Rational Root Theorem Proof. It is a great tool from Algebra and is useful for the Math Olympiad Exams and ISI and CMI Entrance Exams. So, here is the starting point....$a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{2} x^{2}+a_{1} x+a_{0}$This polynomial has certain properties. 1. The coefficients are all […] Read More June 29, 2021 AMC 8 2018 Problem 24 | American Mathematics Competitions This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2018 Problem 24 In the cube$ABCDEFGH$with opposite vertices$C$and$E,J$and$I$are the midpoints of edges$\overline{FB}$and$\overline{HD},$respectively. Let$R$be the ratio of the area of […] Read More June 28, 2021 AMC 8 2020 Problem 18 | American Mathematics Competitions This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry. AMC 8 2020 Problem 18 Rectangle$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 […] Read More June 20, 2021 How Mann Shah Achieved Gold in HKIMO, AIMO & SASMO 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 […] Read More June 20, 2021 3 Lessons to Learn from the Father of Mathematics in India: Aryabhata 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 𝗙𝗮𝘁𝗵𝗲𝗿 𝗼𝗳 𝗠𝗮𝘁𝗵𝗲m𝗮𝘁𝗶𝗰𝘀. 𝟭. 𝗛𝗮𝘃𝗲 𝗖𝗼𝘂𝗿𝗮𝗴𝗲 𝘁𝗼 𝗤𝘂𝗲𝘀𝘁𝗶𝗼𝗻 When eclipses were seen as something to be feared, and the concepts of "Rahu" and […] Read More June 19, 2021 ISI Entrance TOMOTO Subjective 89 - Complex Numbers 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 […] Read More June 19, 2021 Probability Distributions - A Different Perspective [3d-flip-book id="87517" ][/3d-flip-book] Read More June 17, 2021 RMO 1994 Problems And Solutions 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: […] Read More June 16, 2021 ISI MStat 2020 PSB Problem 8 Solution 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. Read More June 15, 2021 Can Two or more Events be Exhaustive and Independent? This is a really interesting problem in the probability theory, which enhances the intuition of independent events, conditional probability and exhaustive events. Read More June 14, 2021 How Aaditya Punatar Achieved Gold in NMTC & SASMO 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 […] Read More June 11, 2021 IIT JAM MS 2020 Section A Problem 1 Solution This is the solution to the real analysis from IIT JAM MS 2020 Section A Problem 1 with designed food for thoughts. Read More June 6, 2021 How to prepare for CMI Data Science Examination? From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam. Read More May 11, 2021 ISI MStat Past Year Question & Sample Papers - Download Pdfs We have compiled all the Pdfs of the previous year's question papers and sample papers. This is a great resource for your ISI MStat Entrance Exam Preparation. ISI MStat 2020 Question Paper Pdf ISI MStat 2019 Question Paper Pdf ISI MStat 2018 Question Paper Pdf ISI MStat 2017 Question Paper Pdf ISI MStat 2016 Question […] Read More May 1, 2021 How to Prepare for Indian National Math Olympiad (INMO) ~ Arjun Gupta 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 […] Read More April 28, 2021 ISI MStat PSA Answer Keys and Solutions This is the list of answer key for ISI MStat PSA Portion. Enjoy. Read More April 28, 2021 Thousand Flowers - a ‘new’ approach to learn mathematics (for children) 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 […] Read More April 19, 2021 How to Prepare for EGMO ~ Ananya Ranade (Silver Medal) 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 […] Read More April 19, 2021 Is Multivariate Limit = Iterated Limit? Multivariate Limit Demystified 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. Read More April 16, 2021 Cheenta Advanced Math Program - 8 week subscription 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 Read More April 15, 2021 When Maximum Likelihood = Method of Moments? 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. Read More April 14, 2021 ISI MStat 2020 PSB Problem 9 | Discussion & Solution 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. Read More April 12, 2021 AMC 8 Algebra Questions - Year wise Try these AMC 8 Algebra Questions and check your knowledge! AMC 8,2020 Problem 1 Luka is making lemonade to sell at a school fundraiser. His recipe requires$4$times as much water as sugar and twice as much sugar as lemon juice. He uses$3$cups of lemon juice. How many cups of water does […] Read More April 12, 2021 Prepare for Math Kangaroo Competition with Cheenta ✌ Math Kangaroo Competition is an International Mathematical Competition for kids of graded 1 to 12. It is also known as : "International Mathematical Kangaroo" or "Kangourou sans frontiÃ¨res" in French. This competition focus on the logical ability of the kids rather than their grip on learning Math formulas. Some Interesting Facts on Math Kangaroo: In […] Read More April 11, 2021 Is MLE always a function of a Sufficient Statistic? MLE is an important algorithm to find an estimate. Sufficiency is a good small sample property. So, how are they related? Is MLE always a function of sufficient statistic? Let's explore. Read More April 10, 2021 ISI MStat 2020 PSB Problem 6 Problem & Solution This problem is an application of the multinomial distribution, sufficiency and beautiful application of probabilistic algebraic argument. Let's enjoy this problem 6 of ISI MStat 2020. Read More March 29, 2021 Meditation in Mathematics - PHP, Bose Olympiad, Gravity in Mars Your Math-Mail from Cheenta Dear students, Let the world engage in rat race. We will focus on deep and beautiful learning. Here is a beautiful problem that we worked on this week. Suppose there are 5 points spread in 1 by 1 square field. The points can be at the corners, on the edges or […] Read More March 26, 2021 INMO 2021 Problem 5 - Solution and Discussion A beautiful geometry problem from INMO 2021 (problem 5). Learn how to use angle chasing to find center of a circle. Read More March 25, 2021 How to Prepare for IIT JAM MS Statistics Exam? From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam. Read More March 25, 2021 IIT JAM Statistics Entrance Exam books based on Syllabus Are you preparing for ISI MStat Entrance Exams? Here is the list of useful books for ISI MStat Entrance Exam based on the syllabus. Read More March 15, 2021 IIT JAM Statistics Mock Test | Cheenta Statistics Department Are you ready for IIT JAM MS 2022? Check it out with a Free Diagnostic Test prepared by Cheenta Statistics & Analytics Department! Other Useful Resources for You Read More March 15, 2021 What is Stirling Number of First Kind Let us learn about Stirling Numbers of First Kind. Watch video and try the problems related to Math Olympiad Combinatorics Read More March 11, 2021 INMO 2021 Question No. 1 Solution Suppose$r\geq 2$is an integer, and let$m_{1},n_{1},m_{2},n_{2} \cdots ,m_{r},n_{r}$be$2r$integers such that$$|m_{i}n_{j}−m_{j}n_{i}|=1$$for any two integers$i$and$j$satisfying$1\leq i <j <r$. Determine the maximum possible value of$r$. Solution: Let us consider the case for$r =2$. Then$|m_{1}n_{2} - m_{2}n_{1}| =1$.......(1) Let us take$m_{1} =1, n_{2} =1, m_{2} =0, n_{1} =0$. Then, clearly the condition holds for$r =2$. […] Read More March 7, 2021 INMO 2021 - Problems, Solutions and Discussion This is a work in progress. Please come back soon for more updates. We are adding problems, solutions and discussions on INMO (Indian National Math Olympiad 2021) INMO 2021, Problem 1 Suppose$r \geq 2$is an integer, and let$m_{1}, n_{1}, m_{2}, n_{2}, \cdots, m_{r}, n_{r}$be$2 r$integers such that $$|m_{i} n_{j}-m_{j} […] Read More March 7, 2021 Diameter of Incircle Lemma and Dilation of Incircle Suppose we have a triangle ABC. Let us extend the sides BA and BC. We will draw the incircle of this triangle. How to draw the incircle? Here is the construction. Draw any two angle bisectors, say of angle A and angle B Mark the intersection point I. Drop a perpendicular line from I to […] Read More February 23, 2021 How to Attend IIT JAM Statistics Exam - [A Data Analysis] This year Cheenta Statistics Department has done a survey on the scores in each of the sections along with the total score in IIT JAM MS. Here is the secret for you! We have normalized the score to understand in terms of percentage. There are three questions, we ask The general performance for the IIT […] Read More February 21, 2021 B.Math 2008 Objective Paper| Problems & Solutions Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2008. Problem 1 : Let a, b and c be fixed positive real numbers. Let u_{n}=\frac{n^{2} a}{b+n^{2} c} for n \geq 1. Then as n increases, (A) u_{n} increases;(B) u_{n} decreases;(C) u_{n} increases first and then decreases;(D) none of the above […] Read More February 21, 2021 B.Math 2007 Objective Paper| Problems & Solutions Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up 7 steps if we take one or two steps at a time is (A) 19 ;(B) 20;(C) 21 ;(D) 22 . Problem 2 : Consider the surface defined by x^{2}+2 […] Read More February 20, 2021 ISI Entrance 2011 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let a \geq 0 be a constant such that \sin (\sqrt{x+a})=\sin (\sqrt{x}) for all x \geq 0 . What can […] Read More February 20, 2021 ISI Entrance 2010 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the 13 th day of some month occurs on a Friday. Problem 2: In the accompanying […] Read More February 20, 2021 ISI Entrance 2009 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let x, y, z be non-zero real numbers. Suppose \alpha, \beta, \gamma are complex numbers such that |\alpha|=|\beta|=|\gamma|=1 . If x+y+z=0=\alpha […] Read More February 20, 2021 ISI Entrance 2008 - B.Math Subjective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let f: \mathbb{R} \rightarrow \mathbb{R} be a continuous function. Suppose$$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$for all x \in \mathbb{R} and […] Read More February 19, 2021 IIT JAM MS 2021 Question Paper | Set C | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set C. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set C) Problem 1 […] Read More February 19, 2021 INTRODUCING 5-days a week practice classes on olympiad and ISI Entrance problems In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance. Read More February 18, 2021 IIT JAM MS 2021 Question Paper | Set A | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set A. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set A) Problem 1 […] Read More February 18, 2021 IIT JAM MS 2021 Question Paper | Set B | Problems & Solutions This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set B. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set B) Problem 1 […] Read More February 18, 2021 ISI B.Stat & B.Math 2014 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inequalities$$a-b^{2} \geq \frac{1}{4}, b-c^{2} \geq \frac{1}{4}, c-d^{2} \geq \frac{1}{4}, d-a^{2} \geq \frac{1}{4} \quad \text { has }$$(A) no solutions(B) […] Read More February 18, 2021 ISI B.Stat 2013 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let i=\sqrt{-1} and S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} . The number of distinct real numbers in the set S is (A) 1(B) 2(C) […] Read More February 16, 2021 Test of Mathematics Solution Objective 394 Power of Complex Number Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses this geometric character complex numbers. 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B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that one moves along […] Read More February 16, 2021 Test of Mathematics Solution Subjective 177 -The Famous Doors Problem This is a Test of Mathematics Solution Subjective 177 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem There are 1000 doors […] Read More February 16, 2021 Test of Mathematics Solution Subjective 176 - Value of a Polynomial at x = n+1 This is a Test of Mathematics Solution Subjective 176 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. 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Entrance Course of Cheenta Problem Let ${C_n}$ be an infinite […] Read More February 16, 2021 Test of Mathematics Solution Subjective 166 -The Grazing Field This is a Test of Mathematics Solution Subjective 166 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem A cow is grazing with […] Read More February 16, 2021 Test of Mathematics Solution Subjective 157 -Limit of a product This is a Test of Mathematics Solution Subjective 157 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate \mathbf \lim_{n […] Read More February 16, 2021 Test of Mathematics Solution Subjective 155 -The Lim 1/(n+r) Problem This is a Test of Mathematics Solution Subjective 155 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate: \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n}) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 150 - Maximum of nth roots of n This is a Test of Mathematics Solution Subjective 150 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the maximum among […] Read More February 16, 2021 Test of Mathematics Solution Subjective 144 - Finding a Function's Upper Bound This is a Test of Mathematics Solution Subjective 144 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose f(x) is […] Read More February 16, 2021 Test of Mathematics Solution Subjective 127 -Graphing relations This is a Test of Mathematics Solution Subjective 127 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find all (x, y) such that sin x + sin y = sin (x+y) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 126 - Graphs of Absolute Value Functions This is a Test of Mathematics Solution Subjective 126 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch, on plain paper, the regions represented, on the plane by the following: (i) […] Read More February 16, 2021 Test of Mathematics Solution Subjective 125 - Function on Natural Numbers This is a Test of Mathematics Solution Subjective 125 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Let f: \mathcal{N} to \mathcal{N} be the function defined by f(0) = […] Read More February 16, 2021 Test of Mathematics Solution Subjective 124 - Graph sketching This is a Test of Mathematics Solution Subjective 124 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch on plain paper, the graph of y = \frac {x^2 + 1} […] Read More February 16, 2021 Graphing integer value function | Tomato Subjective 117 This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let y= f(x) = [x] + \sqrt{x - [x]} ,s=2 be defined for all real numbers x. (i) Sketch on […] Read More February 16, 2021 Test of Mathematics Solution Subjective 116 - Angles in a Triangle This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that […] Read More February 16, 2021 Test of Mathematics Solution Subjective 115 - Trigonometric Relation This is a Test of Mathematics Solution Subjective 115 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If \displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} } , […] Read More February 16, 2021 Test of Mathematics Solution Subjective 113 - Vertices of a Triangle This is a Test of Mathematics Solution Subjective 113 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem: Find the vertices of the two right angles triangles, each having area 18 and […] Read More February 16, 2021 Test of Mathematics Solution Subjective 110 - Ratio of Diagonals of Cyclic Quadrilateral This is a Test of Mathematics Solution Subjective 110 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Let ABCD be a […] Read More February 16, 2021 Test of Mathematics Solution Subjective 107 - Perpendiculars from Center This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: If a, b and c […] Read More February 16, 2021 Test of Mathematics Solution Subjective 90 - Graphing Inequality This is a Test of Mathematics Solution Subjective 90 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Draw the region of […] Read More February 16, 2021 Test of Mathematics Solution Subjective 88 - Complex Numbers with a Property This is a Test of Mathematics Solution Subjective 88 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: A pair of complex numbers […] Read More February 16, 2021 Test of Mathematics Solution Subjective 84 - Comparing Equations This is a Test of Mathematics Solution Subjective 84 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that there is exactly one value of $x$ that satisfies the equation: $2 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 83 - Two numbers adding up to 1 This is a Test of Mathematics Solution Subjective 83 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If a and b are positive real numbers such that a + b = […] Read More February 16, 2021 Test of Mathematics Solution Subjective 82 - Inequality on four positive real numbers This is a Test of Mathematics Solution Subjective 82 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let a, b, c, d […] Read More February 16, 2021 Test of Mathematics Solution Subjective 81 - Cyclic and Symmetric Simultaneous Equations This is a Test of Mathematics Solution Subjective 81 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find all possible real numbers […] Read More February 16, 2021 Test of Mathematics Solution Subjective 79 -Trigonometric Inequality This is a Test of Mathematics Solution Subjective 79 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let {{\theta}_1}, {{\theta}_2}, […] Read More February 16, 2021 Test of Mathematics Solution Subjective 78 -Absolute Value Inequality This is a Test of Mathematics Solution Subjective 78 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For real numbers {x}, […] Read More February 16, 2021 Test of Mathematics Solution Subjective 77 This is a Test of Mathematics Solution Subjective 77 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem For {x > 0}, show that {\displaystyle{\frac{x^n - 1}{x - 1}}{\ge}{n{x^{\frac{n - […] Read More February 16, 2021 Test of Mathematics Solution Subjective 76 - Range of a Rational Polynomial This is a Test of Mathematics Solution Subjective 76 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find the set of all values of {m} such that {y} […] Read More February 16, 2021 Test of Mathematics Solution Subjective 75 This is a Test of Mathematics Solution Subjective 75 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that there is at […] Read More February 16, 2021 Test of Mathematics Solution Subjective 74 - Sum of Squares of Digits This is a Test of Mathematics Solution Subjective 74 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem The sum of squares of […] Read More February 16, 2021 Test of Mathematics Solution Subjective 73 - Coefficients of a Quadratic This is a Test of Mathematics Solution Subjective 73 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the equation {x^3 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 72 - Polynomial Problem This is a Test of Mathematics Solution Subjective 72 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If {\displaystyle{\alpha}, {\beta}, {\gamma}} […] Read More February 16, 2021 Test of Mathematics Solution Subjective 71 - Real solutions This is a Test of Mathematics Solution Subjective 71 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the following simultaneous equations […] Read More February 16, 2021 Test of Mathematics Solution Subjective 58 - Balls of Different Color This is a Test of Mathematics Solution Subjective 58 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem In a certain game, 30 […] Read More February 16, 2021 Test of Mathematics Solution Subjective 57 - Number of Six Letter Words This is a Test of Mathematics Solution Subjective 57 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem How many 6-letter words can […] Read More February 15, 2021 Test of Mathematics Solution Subjective 70 - Equal Roots This is a Test of Mathematics Solution Subjective 70 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that all roots of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 69 - Coefficients of Polynomial This is a Test of Mathematics Solution Subjective 69 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that the three equations […] Read More February 15, 2021 Test of Mathematics Solution Subjective 67 - Four Real Roots This is a Test of Mathematics Solution Subjective 67 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Describe the set of all […] Read More February 15, 2021 Test of Mathematics Solution Subjective 66 - Range of a Polynomial This is a Test of Mathematics Solution Subjective 66 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If c is a real […] Read More February 15, 2021 Test of Mathematics Solution Subjective 65 - Minimum Value of Quadratic This is a Test of Mathematics Solution Subjective 65 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that for all real x, the expression {ax^2} + bx + […] Read More February 15, 2021 Test of Mathematics Solution Subjective 64 -Functional Equation This is a Test of Mathematics Solution Subjective 64 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East-West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If f(x) is a real-valued function […] Read More February 15, 2021 Test of Mathematics Solution Subjective 63 - Pair of Straight Lines This is a Test of Mathematics Solution Subjective 63 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If any one pair among […] Read More February 15, 2021 Test of Mathematics Solution Subjective 62 - System of Equations This is a Test of Mathematics Solution Subjective 62 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the system of equations […] Read More February 15, 2021 Test of Mathematics Solution Subjective 61 - Symmetric Polynomial This is a Test of Mathematics Solution Subjective 61 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Solve {{6x}^{2}} - […] Read More February 15, 2021 Test of Mathematics Solution Subjective 60 - Equivalence Class This is a Test of Mathematics Solution Subjective 60 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set S of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 59 - Number of squares This is a Test of Mathematics Solution Subjective 59 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set of point […] Read More February 15, 2021 Test of Mathematics Solution Subjective 116 - Angles in a Triangle This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that […] Read More February 15, 2021 Test of Mathematics Solution Subjective 55 - Partition of a set of functions This is a Test of Mathematics Solution Subjective 55 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For a finite set A, […] Read More February 15, 2021 Test of Mathematics Solution Subjective 50 -Dictionary Ranking This is a Test of Mathematics Solution Subjective 50 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem All the permutation of the […] Read More February 15, 2021 Test of Mathematics Solution Subjective 49 - Arrangement of Similar Items This is a Test of Mathematics Solution Subjective 49 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: \($ red balls, $y$ black balls,$z$ […] Read More February 15, 2021 Test of Mathematics Solution Subjective 48 - The Gifts Distribution This is a Test of Mathematics Solution Subjective 48 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the different number of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 43-Integer Root This is a Test of Mathematics Solution Subjective 43 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the equation […] Read More February 15, 2021 Test of Mathematics Solution Subjective 38 - When 30 divides a prime Test of Mathematics Solution Subjective 38 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that if a prime number p is divided […] Read More February 15, 2021 Test of Mathematics Solution Subjective 37 - The prime 13 Test of Mathematics Solution Subjective 37 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Supposed p is a prime Number such that (p-1)/4 […] Read More February 15, 2021 Test of Mathematics Solution Subjective 36 - Invariance Principle Test of Mathematics Solution Subjective 36 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let a_1 , a_2 , ... , a_n […] Read More February 15, 2021 Test of Mathematics Solution Subjective 33 - Symmetrical Minima Test of Mathematics Solution Subjective 33 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let $k$ be a fixed odd positive integer. Find […] Read More February 15, 2021 Test of Mathematics Solution Subjective 32 | Power of 3 Test of Mathematics Solution Subjective 32 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that the number 11...1 with 3^n […] Read More February 15, 2021 Test of Mathematics Solution Subjective 17 - Odd Coefficients This is a Test of Mathematics Solution (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem If the coefficients of a quadratic equation […] Read More February 15, 2021 Test of Mathematics Solution Subjective 56 - Number of Four Digit Integers This is a Test of Mathematics Solution Subjective 56 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the number of […] Read More February 15, 2021 Test of Mathematics Solution Subjective 42- Polynomial with Integer Coefficients This is a Test of Mathematics Solution of Subjective 42 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also Visit: I.S.I & CMI Entrance Course of Cheenta Problem Let f(x) be a […] Read More February 13, 2021 ISI B.Stat 2011 Objective Paper| Problems & Solutions Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Group A Problem 1: The limit$$\lim _{x \rightarrow 0} \frac{1-\cos \left(\sin ^{2} \alpha x\right)}{x}$$(A) equals$1$;(B) equals$\alpha$;(C) equals$0$;(D) does […] Read More February 12, 2021 ISI B.Stat 2010 Objective Paper| problems & solutions Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: There are 8 balls numbered$1,2, \ldots, 8$and 8 boxes numbered$1,2, \ldots, 8$. The number of ways one can put […] Read More February 8, 2021 ISI B.Stat & B.Math 2015 Objective Paper| problems & solutions Here, you will find all the questions of ISI Entrance Paper 2015 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let$\mathbb{C}$denote the set of complex numbers and$S=\{z \in \mathbb{C} \mid \bar{z}=z^{2}\},$where$\bar{z}$denotes the complex conjugate of$z […]

February 8, 2021
Test of Mathematics Solution Subjective 46 - Number of Onto Functions

This is a Test of Mathematics Solution Subjective 46 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem A function $f$ from set $A$ into set […]

February 8, 2021
ISI B.Stat, B.Math Paper 2016 Objective| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2016 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The largest integer $n$ for which $n+5$ divides $n^{5}+5$ is(A) 3115(B) 3120(C) 3125(D) 3130 . Problem 2: Let $p, q$ be primes […]

February 7, 2021
ISI B.Stat 2009 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Group A Problem 1: If $k$ times the sum of the first $n$ natural numbers is equal to the sum of the squares of […]

February 7, 2021
ISI B.Stat 2008 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $C$ be the circle $x^{2}+y^{2}+4 x+6 y+9=0$. The point $(-1,-2)$ is(A) inside $C$ but not the centre of $C$;(B) outside $C$;(C) […]

February 7, 2021
ISI B.Stat 2007 Objective Paper| problems & solutions

Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x$ be an irrational number. If $a, b, c$ and $d$ are rational numbers such that $\frac{a x+b}{cx+d}$ is a rational […]

February 5, 2021
Indian National Math Olympiad, INMO 2015 Problems

This post contains problems from Indian National Mathematics Olympiad, INMO 2015. Try them and share your solution in the comments. INMO 2015, Problem 1 Let $A B C$ be a right-angled triangle with $\angle B=90^{\circ} .$ Let $B D$ be the altitude from $B$ on to $A C .$ Let $P, Q$ and $I$ be […]

January 31, 2021
PRMO 2012 Set A Problems & Solutions | Previous Year Paper

This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2012 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2012 Set A, Problem 1: Rama was asked by her teacher to […]

January 31, 2021
PRMO 2013 Set A Problems & Solutions | Previous Year Paper

This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2013 Set A problems and solutions. You may find some solutions with hints too. There are 20 questions in the question paper and question carries 5 marks. Time Duration: 2 hours PRMO 2013 Set A, Problem 1: What is the smallest positive integer $k$ […]

January 31, 2021
PRMO 2015 Set B Problems & Solutions | Previous Year Paper

This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2015 Set B problems and solutions. You may find some solutions with hints too. PRMO 2015 Set B, Problem 1: A man walks a certain distance and rides back in $3 \frac{3}{4}$ hours; he could ride both ways in $2 \frac{1}{2}$ hours. How many […]

January 31, 2021
PRMO 2014 Problems & Solutions | Previous Year Paper

This post will provide you all the PRMO (Pre-Regional Mathematics Olympiad) 2014 problems and solutions. You may find some solutions with hints too. PRMO 2014, Problem 1: A natural number $k$ is such that $k^{2}<2014<(k+1)^{2}$. What is the largest prime factor of $k ?$ PRMO 2014, Problem 2: The first term of a sequence is […]

January 17, 2021
IOQM 2021 Problems & Solutions

This post is getting updated. Stay tuned for solutions, videos and more. IOQM 2021 - Problem 1 Let $ABCD$ be a trapezium in which $AB \parallel CD$ and $AB=3CD$. Let $E$ be the midpoint of the diagonal $BD$. If $[ABCD]= n \times [CDE]$, what is the value of $n$ ? (Here $[\Gamma]$ denotes the […]

January 16, 2021
IIT JAM Stat Mock Test Toppers

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 […]

January 14, 2021
Pigeonhole Principle

“The Pigeonhole principle” ~ Students who have never heard may think that it is a joke. The pigeonhole principle is one of the simplest but most useful ideas in mathematics. Let’s learn the Pigeonhole Principle with some applications. Pigeonhole Principle Definition: In Discrete Mathematics, the pigeonhole principle states that if we must put N + […]

December 14, 2020
Mathematics Summer Camps in India One Should Explore

Mathematics Summer Camps help students to feel the richness of Mathematics. These summer mathematics programme in India instills the love for Mathematics in students. In this post, we are going to discuss the Mathematics Summer Camps in India for School and College Students. Here we go: 1. Programs in Mathematics for Young Scientists - PROMYS […]

November 6, 2020
National Mathematics Talent Contest (NMTC)2021

What is National Mathematics Talent Contest ? 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 […]

November 2, 2020
Bose Olympiad Senior Level | Resources

Bose Olympiad Senior is suitable for kids in Grade 8 and above. There are two levels of this olympiad: Prelims Mains Curriculum Number Theory Combinatorics Algebra Polynomials Complex Numbers Inequality Geometry Number Theory The following topics in number theory are useful for the Senior round: Bezout’s Theorem and Euclidean Algorithm Theory of congruence Number Theoretic […]

November 2, 2020

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 […]

November 2, 2020
Bose Olympiad Junior Level | Resources

Bose Olympiad Junior is suitable for kids in Grade 1, 2, 3 and 4. There are two levels of this Olympiad: Prelims Mains Curriculum Arithmetic Geometry Mathematical Puzzles Arithmetic Basic skills of addition, subtraction and multiplication and division will be sufficient for attending arithmetic problems. Fundamental ideas about place-value system and ratios could be useful […]

October 29, 2020
How to use Vectors and Carpet Theorem in Geometry 1?

Here is a video solution for a Problem based on using Vectors and Carpet Theorem in Geometry 1? This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Given ABCD is a quadrilateral and P and Q are 2 points on AB and […]

October 29, 2020
Mahalanobis National Statistics Competition

Mahalanobis National Statistics Competition = MNStatC organized by Cheenta Statistics Department with exciting cash prizes. What is MNStatC? Mahalanobis National Statistics Competition (MNStatC) is a national level statistics competition, aimed at undergraduate students as well as masters, Ph.D. students, and data analytics, and ML professionals. MNStatC plans to test your core mathematics, probability, and statistics […]

October 28, 2020
Letter to parents: Talk about infinity

Dear parent, One of the key contributions of modern mathematics is its tryst with infinity. As parents and teachers we can initiate thought provoking communication with our children using infinity. Consider the following set: N = {1, 2, 3, … } Notice that N contains infinitely many elements. Take a subset of N that consists […]

October 20, 2020
Carpet Strategy in Geometry | Watch and Learn

Here is a video solution for a Problem based on Carpet Strategy in Geometry. This problem is helpful for Math Olympiad, ISI & CMI Entrance, and other math contests. Watch and Learn! Here goes the question… Suppose ABCD is a square and X is a point on BC such that AX and DX are joined […]

October 19, 2020
Bijection Principle Problem | ISI Entrance TOMATO Obj 22

Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn! Here goes the question… Given that: x+y+z=10, where x, y and z are natural numbers. How many such solutions are possible for this equation? We will recommend you to […]

October 18, 2020
Triangle Problem | PRMO-2018 | Problem No-24

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

October 17, 2020
What is the Area of Quadrilateral? | AMC 12 2018 | Problem 13

Here is a video solution for a Problem based on finding the area of a quadrilateral. This question is from American Mathematics Competition, AMC 12, 2018. Watch and Learn! Here goes the question… Connect the centroids of the four triangles in a square. Can you find the area of the quadrilateral? We will recommend you […]

October 16, 2020
Solving Weird Equations using Inequality | TOMATO Problem 78

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

October 16, 2020
Even Parity and Odd Parity

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

October 16, 2020
Value of Sum | PRMO - 2018 | Question 16

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

October 15, 2020
AM-GM Inequality Problem | ISI Entrance

Here is a video solution for ISI Entrance Number Theory Problems based on AM-GM Inequality Problem. Watch and Learn! Here goes the question... a, b, c, d are positive real numbers. Prove that: (1+a)(1+b)(1+c)(1+d) <= 16. We will recommend you to try the problem yourself. Done? Let's see the proof in the video below: Some […]

October 15, 2020
Chessboard Problem | PRMO-2018 | Problem No-26

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

October 13, 2020
Sum of 8 fourth powers | ISI Entrance Problem

Here is a video solution for ISI Entrance Number Theory Problems based on Sum of 8 fourth powers. Watch and Learn! Can you show that the sum of 8 fourth powers of integers never adds up to 1993? How can you solve this fourth-degree diophantine equation? Let's see in the video below: Some Useful Links: […]

October 13, 2020
Measure of Angle | PRMO-2018 | Problem No-29

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

October 10, 2020
Good numbers Problem | PRMO-2018 | Question 22

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

October 8, 2020
Polynomial Problem | PRMO-2018 | Question 30

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

October 6, 2020
Digits Problem | PRMO - 2018 | Question 19

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

October 4, 2020
Chocolates Problem | PRMO - 2018 | Problem No. - 28

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

October 2, 2020
Trigonometry | PRMO-2018 | Problem No-14

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

September 30, 2020
External Tangent | AMC 10A, 2018 | Problem 15

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

September 29, 2020
Dice Problem | AMC 10A, 2014| Problem No 17

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

September 29, 2020
Problem on Curve | AMC 10A, 2018 | Problem 21

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

September 28, 2020
Finding Greatest Integer | AMC 10A, 2018 | Problem No 14

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

September 28, 2020
Right-angled Triangle | AMC 10A, 2018 | Problem No 16

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

September 27, 2020
Length of the crease | AMC 10A, 2018 | Problem No 13

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

September 26, 2020
Colour Problem | PRMO-2018 | Problem No-27

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

September 25, 2020
Right-angled shaped field | AMC 10A, 2018 | Problem No 23

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

September 24, 2020
Area of region | AMC 10B, 2016| Problem No 21

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

September 23, 2020
Coin Toss Problem | AMC 10A, 2017| Problem No 18

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

September 22, 2020
GCF & Rectangle | AMC 10A, 2016| Problem No 19

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

September 21, 2020
ISI MStat Entrance 2020 Problems and Solutions PSA & PSB

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

September 21, 2020
Fly trapped inside cubical box | AMC 10A, 2010| Problem No 20

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

September 21, 2020
ISI Entrance 2020 Problems and Solutions - B.Stat & B.Math

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

September 20, 2020
Measure of angle | AMC 10A, 2019| Problem No 13

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

September 19, 2020
Sum of Sides of Triangle | PRMO-2018 | Problem No-17

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

September 17, 2020
Recursion Problem | AMC 10A, 2019| Problem No 15

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

September 16, 2020
Roots of Polynomial | AMC 10A, 2019| Problem No 24

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

September 15, 2020
Testing of Hypothesis | ISI MStat 2016 PSB Problem 9

This is a problem from the ISI MStat Entrance Examination,2016 making us realize the beautiful connection between exponential and geometric distribution and a smooth application of Central Limit Theorem.

September 15, 2020
Set of Fractions | AMC 10A, 2015| Problem No 15

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

September 14, 2020
IOQM 2021-2022: Announcement by HBCSE

IOQM 2021-2022 Announcement by HBCSE Day and Date: Sunday, January 9, 2022 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 standard of this […]

September 14, 2020
Positive Integers and Quadrilateral | AMC 10A 2015 | Sum 24

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

September 14, 2020
ISI MStat PSB 2006 Problem 8 | Bernoullian Beauty

This is a very simple and regular sample problem from ISI MStat PSB 2009 Problem 8. It It is based on testing the nature of the mean of Exponential distribution. Give it a Try it !

September 13, 2020
Rectangular Piece of Paper | AMC 10A, 2014| Problem No 22

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

September 12, 2020
How to roll a Dice by tossing a Coin ? Cheenta Statistics Department

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

September 10, 2020
Probability in Marbles | AMC 10A, 2010| Problem No 23

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

September 9, 2020
Points on a circle | AMC 10A, 2010| Problem No 22

Try this beautiful Problem on Number theory based on Triangle and Circle from AMC 10A, 2010. Problem-22. You may use sequential hints to solve the problem.

September 5, 2020
Circle and Equilateral Triangle | AMC 10A, 2017| Problem No 22

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

August 26, 2020
Bayes' in-sanity || Cheenta Probability Series

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

August 25, 2020
International Youth Mathematics Challenge (IYMC) - Cheenta Opportunities

The International Youth Mathematics Challenge, IYMC is a large scale competition reaching across borders to compete nationally and internationally. This competition enables students from all countries to prove their mathematical skills and creativity to win awards, cash prizes, and global recognition. Eligibility Criteria To participate in the International Youth Mathematics Challenge, IYMC a participant needs […]

August 23, 2020
Laplace in the World of Chances| Cheenta Probability Series

In this post we will be discussing mainly about, naive Bayes Theorem, and how Laplace, developed the same idea as Bayes, independently and his law of succession goes.

August 22, 2020
Interior Point of a Triangle | PRMO-2017 | Problem No-24

Try this beautiful Problem based on Interior Point of a Triangle from PRMO -2017, Problem-24. You may use sequential hints to solve the problem.

August 21, 2020
Side of a Quadrilateral | AMC 10A, 2009 | Problem No 12

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

August 21, 2020
Linear Equation Problem | AMC 10A, 2015 | Problem No.16

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

August 19, 2020
Trapezium | AMC 10A ,2009 | Problem No 23

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

August 15, 2020
ISI MStat PSB 2009 Problem 8 | How big is the Mean?

This is a very simple and regular sample problem from ISI MStat PSB 2009 Problem 8. It It is based on testing the nature of the mean of Exponential distribution. Give it a Try it !

August 14, 2020
ISI MStat PSB 2009 Problem 4 | Polarized to Normal

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 4. It is based on the idea of Polar Transformations, but need a good deal of observation o realize that. Give it a Try it !

August 13, 2020
ISI MStat PSB 2008 Problem 7 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 7 based on finding the distribution of a random variable. Let's give it a try !!

August 13, 2020
ISI MStat PSB 2008 Problem 2 | Definite integral as the limit of the Riemann sum

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 2 based on definite integral as the limit of the Riemann sum . Let's give it a try !!

August 13, 2020
ISI MStat PSB 2008 Problem 3 | Functional equation

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

August 13, 2020
ISI MStat PSB 2009 Problem 6 | abNormal MLE of Normal

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 6. It is based on the idea of Restricted Maximum Likelihood Estimators, and Mean Squared Errors. Give it a Try it !

August 12, 2020
ISI MStat PSB 2009 Problem 3 | Gamma is not abNormal

This is a very simple but beautiful sample problem from ISI MStat PSB 2009 Problem 3. It is based on recognizing density function and then using CLT. Try it !

August 12, 2020
ISI MStat PSB 2009 Problem 1 | Nilpotent Matrices

This is a very simple sample problem from ISI MStat PSB 2009 Problem 1. It is based on basic properties of Nilpotent Matrices and Skew-symmetric Matrices. Try it !

August 11, 2020
Bayes and The Billiard Table | Cheenta Probability Series

This post discusses how judgements can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidences in decoding uncertainty leading towards Bayesian Thinking.

August 11, 2020
How to Calculate Geometric Mean | Learn the Concept

Let's learn how to calculate the geometric mean. This is a concept video useful for Mathematics Olympiad and ISI and CMI Entrance. Watch and Learn: Read and Learn: What is the Geometric mean of two numbers a and b & how to calculate it? Suppose a and b are positive numbers then their geometric mean […]

August 9, 2020
Circular arc | AMC 10A ,2012 | Problem No 18

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

August 7, 2020
Nonconglomerability and the Law of Total Probability || Cheenta Probability Series

This explores the unsung sector of probability : "Nonconglomerability" and its effects on conditional probability. This also emphasizes the idea of how important is the idea countable additivity or extending finite addivity to infinite sets.

August 7, 2020
Area of rectangle | AMC 10A ,2012 | Problem No 21

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

August 6, 2020
ISI MStat PSB 2006 Problem 2 | Cauchy & Schwarz come to rescue

This is a very subtle sample problem from ISI MStat PSB 2006 Problem 2. After seeing this problem, one may think of using Lagrange Multipliers, but one can just find easier and beautiful way, if one is really keen to find one. Can you!

August 5, 2020
ISI MStat PSB 2007 Problem 6 | Counting Principle & Expectations

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

August 5, 2020
ISI MStat PSB 2005 Problem 3 | The Orthogonal Matrix

This is a very subtle sample problem from ISI MStat PSB 2005 Problem 3. Given that one knows the property of orthogonal matrices its just a counting problem. Give it a thought!

August 5, 2020
ISI MStat PSB 2006 Problem 6 | Counting Principle & Expectations

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

August 5, 2020
ISI MStat PSB 2006 Problem 5 | Binomial Distribution

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 5 based on use of binomial distribution . Let's give it a try !!

August 5, 2020
ISI MStat PSB 2006 Problem 1 | Inverse of a matrix

This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 1 based on Inverse of a matrix. Let's give it a try !!

August 5, 2020
Area of the Trapezium | PRMO-2017 | Question 30

Try this beautiful Problem from Geometry based on the area of the trapezium from PRMO 2017, Question 30. You may use sequential hints to solve the problem.

August 5, 2020
ISI MStat PSB 2007 Problem 2 | Rank of a matrix

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 2 based on Rank of a matrix. Let's give it a try !!

August 4, 2020
ISI MStat PSB 2007 Problem 1 | Determinant and Eigenvalues of a matrix

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 1 based on Determinant and Eigen values and Eigen vectors . Let's give it a try !!

August 4, 2020
ISI MStat PSB 2007 Problem 4 | Application of Newton Leibniz theorem

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 4 based on use of Newton Leibniz theorem . Let's give it a try !!

August 4, 2020
ISI MStat PSB 2007 Problem 3 | Application of L'hospital Rule

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 3 based on use of L'hospital Rule . Let's give it a try !!

August 4, 2020
ISI MStat PSB 2005 Problem 1 | The Inductive Matrix

This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 1. It is based on some basic properties of upper triangular matrix and diagonal matrix, only if you use them carefully. Give it a thought!

August 4, 2020
Problem on Circle and Triangle | AMC 10A, 2016 | Problem 21

Try this beautiful problem from Geometry: Problem on Circle and Triangle from AMC-10A (2016) Problem 21. You may use sequential hints to solve the problem.

August 2, 2020
Judgements in a Fitful Realm | Cheenta Probability Series

This post discusses how judgements can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidences in decoding uncertainty leading towards Bayesian Thinking.

August 2, 2020
Least Possible Value Problem | AMC-10A, 2019 | Quesstion19

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

August 1, 2020
Nearest value | PRMO 2018 | Question 14

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

July 31, 2020
Probability From A Frequentist's Perspective || Cheenta Probability Series

This post discusses about the history of frequentism and how it was an unperturbed concept till the advent of Bayes. It sheds some light on the trending debate of frequentism vs bayesian thinking.

July 27, 2020
ISI MStat PSB 2014 Problem 4 | The Machine's Failure

This is a very simple sample problem from ISI MStat PSB 2014 Problem 4. It is based on order statistics, but generally due to one's ignorance towards order statistics, one misses the subtleties . Be Careful !

July 24, 2020
ISI MStat PSB 2009 Problem 2 | Linear Difference Equation

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 2 based on Convergence of a sequence. Let's give it a try !!

July 24, 2020
ISI MStat PSB 2012 Problem 6 | Tossing a biased coin

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

July 24, 2020
ISI MStat PSB 2013 Problem 3 | Number of distinct integers

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

July 23, 2020
ISI MStat PSB 2013 Problem 8 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 8 based on finding the distribution of a random variable. Let's give it a try !!

July 23, 2020
ISI MStat PSB 2009 Problem 5 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 5 based on finding the distribution of a random variable. Let's give it a try !!

July 23, 2020
Some Classical Problems And Paradoxes In Geometric Probability||Cheenta Probability Series

This is our 6th post in our ongoing probability series. In this post, we deliberate about the famous Bertrand's Paradox, Buffon's Needle Problem and Geometric Probability through barycentres.

July 20, 2020
How to Measure the Length of your Earphone from a Pic?| Cheenta Probability Series

This is our 5th post in the Cheenta Probability Series. This article teaches how to mathematically estimate the length of an earphone wire by it's picture.

July 20, 2020
ISI MStat PSB 2018 Problem 9 | Regression Analysis

This is a very simple sample problem from ISI MStat PSB 2018 Problem 9. It is mainly based on estimation of ordinary least square estimates and Likelihood estimates of regression parameters. Try it!

July 19, 2020
Sequence and permutations | AIME II, 2015 | Question 10

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

July 18, 2020
Physics of Coin Tossing and Uncertainty | Cheenta Probability Series

This is our 4th post in the Cheenta Probability Series. This article deals with mainly the physics involved in coin tossing, and based on such problems how it effects the chances of the outcome of coin toss , and how it reveals the true nature of uncertainty !!

July 17, 2020
ISI MStat PSB 2004 Problem 7 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 7 based on finding the distribution of a random variable. Let's give it a try !!

July 17, 2020
Numbers of positive integers | AIME I, 2012 | Question 1

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

July 17, 2020
ISI MStat PSB 2013 Problem 7 | Bernoulli interferes Normally

This is a very simple and beautiful sample problem from ISI MStat PSB 2013 Problem 7. It is mainly based on simple hypothesis testing of normal variables where it is just modified with a bernoulli random variable. Try it!

July 16, 2020
Cheenta Toppers of the Month - January

We are really happy with the performance of our students and thus, we have initiated to name the Toppers of the month in Cheenta. The names of the toppers will be updated every month to keep the healthy competition alive in Cheenta. These toppers are named in this leader board according to their performance in […]

July 16, 2020
Number of points and planes | AIME I, 1999 | Question 10

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

July 16, 2020
ISI MStat PSB 2004 Problem 4 | Calculating probability using Uniform Distribution

This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 4 based on finding probability using a uniform distribution. Let's give it a try !!

July 16, 2020
ISI MStat PSB 2005 Problem 2 | Calculating probability using Binomial Distribution

This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 2 based on finding probability using binomial distribution. Let's give it a try !!

July 15, 2020
Understanding Statistical Regularity Through Random Walks | Cheenta Probability Series

This is another blog of the Cheenta Probability Series. Let's give a formal definition of statistical regularity to bring some seriousness into account. **10 min read** “The Law of Statistical Regularity formulated in the mathematical theory of probability lays down that a moderately large number of items chosen at random from a very large group […]

July 15, 2020
ISI MStat PSB 2013 Problem 9 | Envelope Collector's Expenditure

This is a very simple and beautiful sample problem from ISI MStat PSB 2013 Problem 9. It is mainly based on geometric distribution and its expectation . Try it!

July 15, 2020
Arithmetic Sequence Problem | AIME I, 2012 | Question 2

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

July 14, 2020
Graph Coordinates | AMC 10A, 2015 | Question 12

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

July 13, 2020
Digits of number | PRMO 2018 | Question 3

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

July 13, 2020
Smallest value | PRMO 2018 | Question 15

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

July 12, 2020
Restricted Maximum Likelihood Estimator |ISI MStat PSB 2012 Problem 9

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 9, It's about restricted MLEs, how restricted MLEs are different from the unrestricted ones, if you miss delicacies you may miss the differences too . Try it! But be careful.

July 12, 2020
ISI MStat PSB 2013 Problem 2 | Application of sandwich Theorem

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 2 based on use of Sandwich Theorem . Let's give it a try !!

July 12, 2020
ISI MStat PSB 2014 Problem 2 | Properties of a Function

This is a very beautiful sample problem from ISI MStat PSB 2014 Problem 2 based on the use and properties of a function. Let's give it a try !!

July 12, 2020
Length and Triangle | AIME I, 1987 | Question 9

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

July 12, 2020
ISI MStat PSB 2012 Problem 3 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 3 based on finding the distribution of a random variable . Let's give it a try !!

July 11, 2020
Positive Integer | PRMO-2017 | Question 1

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

July 11, 2020
Algebra and Positive Integer | AIME I, 1987 | Question 8

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

July 10, 2020
ISI MStat Mock Test Leaderboard | Cheenta Statistics

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 […]

July 10, 2020
ISI MStat PSB 2010 Problem 10 | Uniform Modified

This is a very elegant sample problem from ISI MStat PSB 2010 Problem 10, based on properties of uniform, and its behavior when modified. Try it!

July 10, 2020
Distance and Spheres | AIME I, 1987 | Question 2

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

July 9, 2020
Arithmetic Mean | AIME I, 2015 | Question 12

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

July 9, 2020
Distance Time | AIME I, 2012 | Question 4

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

July 8, 2020
An Unexpected Correspondence and some Unfinished Games | Cheenta Probability Series

This is our 2nd post on Cheenta Probability series, where we discuss mainly with two gambling problems, solved collaboratively by two great mathematcians Blaise Pascal and Pierre de Fermat, who ended up defining the idea of fairness of a game.

July 8, 2020
Measuring Chances and Coincidences | Cheenta Probability Series

This blog series is aimed towards Undergraduates in Statistics who want to savour probability theory in a different form altogether. We are pretty curious to collaborate and interact with probability theory enthusiasts. It would be great if they enlighten us with their insights too.

July 8, 2020
Algebra and Combination | AIME I, 2000 Question 3

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

July 8, 2020
Algebraic Equation | AIME I, 2000 Question 7

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

July 8, 2020
ISI MStat PSB 2014 Problem 1 | Vector Space & Linear Transformation

This is a very beautiful sample problem from ISI MStat PSB 2014 Problem 1 based on Vector space and Eigen values and Eigen vectors . Let's give it a try !!

July 7, 2020
Sequence and fraction | AIME I, 2000 | Question 10

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

July 7, 2020
Arithmetic and geometric mean | AIME I, 2000 Question 6

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

July 6, 2020
ISI MStat PSB 2012 Problem 10 | MVUE Revisited

This is a very simple sample problem from ISI MStat PSB 2012 Problem 10. It's a very basic problem but very important and regular problem for statistics students, using one of the most beautiful theorem in Point Estimation. Try it!

July 6, 2020
Logarithms and Equations | AIME I, 2000 | Question 9

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

July 6, 2020
Finding smallest positive Integer | AIME I, 1996 Problem 10

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

July 5, 2020
ISI MStat PSB 2010 Problem 1 | Tricky Linear Algebra Question

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

July 5, 2020
ISI MStat PSB 2006 Problem 9 | Consistency and MVUE

This is a very simple sample problem from ISI MStat PSB 2006 Problem 9. It's based on point estimation and finding consistent estimator and a minimum variance unbiased estimator and recognizing the subtle relation between the two types. Go for it!

July 5, 2020
Amplitude and Complex numbers | AIME I, 1996 Question 11

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

July 5, 2020
Roots of Equation and Vieta's formula | AIME I, 1996 Problem 5

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

July 4, 2020
ISI MStat PSB 2013 Problem 10 | Balls-go-round

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 10. It's based mainly on counting and following the norms stated in the problem itself. Be careful while thinking !

July 4, 2020
Tetrahedron Problem | AIME I, 1992 | Question 6

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

July 4, 2020
Triangle and integers | AIME I, 1995 | Question 9

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

July 4, 2020
ISI MStat PSB 2005 Problem 5 | Uniformity of Uniform

This is a simple and elegant sample problem from ISI MStat PSB 2005 Problem 5. It's based the mixture of Discrete and Continuous Uniform Distribution, the simplicity in the problem actually fools us, and we miss subtle happenings. Be careful while thinking !

July 4, 2020
ISI MStat PSB 2012 Problem 2 | Dealing with Polynomials using Calculus

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 2 based on solving polynomials using calculus . Let's give it a try !!

July 3, 2020
ISI MSTAT PSB 2011 Problem 4 | Digging deep into Multivariate Normal

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

July 3, 2020
Functional Equation Problem from SMO, 2018 - Question 35

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

July 2, 2020
ISI MStat PSB 2012 Problem 5 | Application of Central Limit Theorem

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

July 2, 2020
Arithmetic sequence | AMC 10A, 2015 | Problem 7

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

July 2, 2020
Sequence and greatest integer | AIME I, 2000 | Question 11

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

July 1, 2020
Inscribed circle and perimeter | AIME I, 1999 | Question 12

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

July 1, 2020
Problem based on Cylinder | AMC 10A, 2015 | Question 9

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

July 1, 2020
Series and sum | AIME I, 1999 | Question 11

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

June 30, 2020
Cubic Equation | AMC-10A, 2010 | Problem 21

Try this beautiful problem from Algebra, based on the Cubic Equation problem from AMC-10A, 2010. You may use sequential hints to solve the problem.

June 30, 2020
Median of numbers | AMC-10A, 2020 | Problem 11

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

June 30, 2020
LCM and Integers | AIME I, 1998 | Question 1

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

June 29, 2020
Bayes comes to rescue | ISI MStat PSB 2007 Problem 7

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 7. It's a very simple problem, which very much rely on conditioning and if you don't take it seriously, you will make thing complicated. Fun to think, go for it !!

June 29, 2020
Pen & Note Books Problem| PRMO-2017 | Question 8

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

June 29, 2020
Rectangle Problem | Geometry | PRMO-2017 | Question 13

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

June 29, 2020
Problem on Fraction | AMC 10A, 2015 | Question 15

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

June 28, 2020
Integers | AIME I, 1993 Problem | Question 4

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

June 28, 2020
Greatest Positive Integer | AIME I, 1996 | Question 2

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

June 27, 2020
ISI MStat Entrance Exam books based on Syllabus

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

June 27, 2020
Distance travelled | PRMO II 2019 | Question 26

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

June 27, 2020
Sum of Digits base 10 | PRMO II 2019 | Question 7

Try this beautiful problem from the PRMO II, 2019 based on the Sum of Digits base 10. You may use sequential hints to solve the problem.

June 26, 2020
ISI MStat PSB 2008 Problem 8 | Bivariate Normal Distribution

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 8. It's a very simple problem, based on bivariate normal distribution, which again teaches us that observing the right thing makes a seemingly laborious problem beautiful . Fun to think, go for it !!

June 26, 2020
Trapezoid Problem | AIME I, 1992 | Question 9

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

June 26, 2020
Circle | Geometry Problem | PRMO-2017 | Question 27

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

June 26, 2020
Chords in a Circle | PRMO-2017 | Question 26

Try this beautiful Problem based on Chords in a Circle, Geometry from PRMO 2017, Question 26. You may use sequential hints to solve the problem.

June 25, 2020
Side of Square | AMC 10A, 2013 | Problem 3

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

June 25, 2020
Counting Days | AMC 10A, 2013 | Problem 17

Try this beautiful problem from Algebra based on Counting Days from AMC-10A (2013), Problem 17. You may use sequential hints to solve the problem.

June 24, 2020
ISI MStat PSB 2004 Problem 6 | Minimum Variance Unbiased Estimators

This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 6. It's a very simple problem, and its simplicity is its beauty . Fun to think, go for it !!

June 24, 2020
ISI MStat PSB 2004 Problem 1 | Games and Probability

This is a very beautiful sample problem from ISI MStat PSB 2004 Problem 1. Games are best ways to understand the the role of chances in life, solving these kind of problems always indulges me to think and think more on the uncertainties associated with the system. Think it over !!

June 24, 2020
Chosing Program | AMC 10A, 2013 | Problem 7

Try this beautiful problem from Combinatorics based on Chosing Program from AMC-10A (2013), Problem 7. You may use sequential hints to solve the problem.

June 24, 2020
Order Pair | AMC-10B, 2012 | Problem 10

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

June 24, 2020
ISI MStat PSB 2013 Problem 5 | Simple Random Sampling

This is a sample problem from ISI MStat PSB 2013 Problem 5 based on the simple random sampling model, finding the unbiased estimates of the population size.

June 23, 2020
Shortest Distance | PRMO II 2019 | Question 27

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

June 23, 2020
Length of side of Triangle | PRMO II 2019 | Question 28

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

June 23, 2020
Acute angled Triangle | PRMO II 2019 | Question 29

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

June 23, 2020
ISI MStat PSB 2013 Problem 4 | Linear Regression

This is a sample problem from ISI MStat PSB 2013 Problem 4. It is based on the simple linear regression model, finding the estimates, and MSEs.

June 22, 2020
ISI MStat PSB 2011 Problem 1 | Linear Algebra

This is ISI MStat PSB 2011 Problem 1, based on patterns in matrices and determinants, and using a special kind of determinant decomposition. Try this out!

June 22, 2020
Triangle Area Problem | AMC-10A, 2009 | Problem 10

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

June 22, 2020
Side Length of Rectangle | AMC-10A, 2009 | Problem 17

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

June 22, 2020
Missing Integers | PRMO II 2019 | Question 1

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

June 22, 2020
ISI MStat PSB 2014 Problem 9 | Hypothesis Testing

This is a another beautiful sample problem from ISI MStat PSB 2014 Problem 9. It is based on testing simple hypothesis, but reveals and uses a very cute property of Geometric distribution, which I prefer calling sister to Loss of memory . Give it a try !

June 21, 2020
ISI MStat PSB 2008 Problem 10 | Hypothesis Testing

This is a really beautiful sample problem from ISI MStat PSB 2008 Problem 10. Its based on testing simple, hypothesis. According to, this problem teaches me how observation, makes life simple. Go for it!

June 21, 2020
Roots and coefficients of equations | PRMO 2017 | Question 4

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

June 21, 2020
Number of ways | PRMO 2017 | Question 9

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

June 21, 2020
Number of ways of arrangement | PRMO 2017 | Question 10

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

June 20, 2020
ISI MStat PSB 2010 Problem 2 | Combinatorics

This is a beautiful sample problem from ISI MStat 2010 PSB Problem 2. This is based how one can find the number of isosceles triangles with sides of integer length one can construct, using simple counting principles . We provide detailed solution with prerequisites mentioned explicitly.

June 20, 2020
Real Numbers and Integers | PRMO 2017 | Question 2

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

June 20, 2020
Roots of Equation | PRMO 2017 | Question 19

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

June 19, 2020
Problem on Cube | AMC 10A, 2008 | Problem 21

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

June 19, 2020
Television Problem | AMC 10A, 2008 | Problem 14

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

June 19, 2020
Area of Triangle | AMC 10A, 2006 | Problem 21

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

June 18, 2020
Circle Problem | AMC 10A, 2006 | Problem 23

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

June 18, 2020
Centroid Problem: Ratio of the areas of two Triangles

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

June 17, 2020
Triangle Problem | AMC 10B, 2013 | Problem 16

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

June 16, 2020
Number system | AMC-10A, 2007 | Problem 22

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

June 16, 2020
Sum of reciprocals Problem | AMC-10A, 2003 | Problem 18

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

June 16, 2020
Non-Parallel lines | PRMO 2017 | Question 22

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

June 16, 2020
Area of a part of circle | PRMO 2017 | Question 26

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

June 15, 2020
Area of Trapezium | AMC-10A, 2018 | Problem 24

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

June 15, 2020
Problem on Equation | AMC-10A, 2007 | Problem 20

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

June 15, 2020
Pen & Note Books Problem | PRMO-2019 | Question 16

Try this beautiful Problem from Algebra based on Pen & Note Books from PRMO 2019, Question 16. You may use sequential hints to solve the problem.

June 15, 2020
Quadratic equation Problem | AMC-10A, 2003 | Problem 5

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

June 14, 2020
Sum of divisors and Integers | TOMATO B.Stat Objective 99

Try this TOMATO Objective Problem from I.S.I. B.Stat Entrance based on Sum of divisors and Integers. You may use sequential hints to solve the problem.

June 14, 2020
PRMO Open Test

Open Mock Test Pre Regional Maths Olympiad (PRMO), India.

June 13, 2020
Sum of digits Problem | PRMO 2016 | Question 6

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

June 13, 2020
Divisibility and Integers | TOMATO B.Stat Objective 89

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

June 12, 2020
Useless Data, Conditional Probability, and Independence | Cheenta Probability Series

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

June 12, 2020
Integer based Problem | PRMO-2018 | Question 20

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

June 12, 2020
Sum of two digit numbers | PRMO-2016 | Problem 7

Try this beautiful problem from Algebra, based on Sum of two digit numbers from PRMO 2016. You may use sequential hints to solve the problem.

June 12, 2020
Finding side of Triangle | PRMO-2014 | Problem 15

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

June 11, 2020
Sets and Probability | B.Stat Objective Problems

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

June 11, 2020
Number Series | B.Stat Objective Problem

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 […]

June 11, 2020
Numbers and Group | B.Stat Objective Problem

Try this problem from I.S.I. B.Stat Entrance Objective Problem from TOMATO based on Numbers and Group. You may use sequential hints to solve the problem.

June 10, 2020
Number of Factors | TOMATO B.Stat Objective 95

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

June 10, 2020
Combinatorics and Integers | TOMATO B.Stat Objective 93

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective based on Combinatorics and Integers. You may use sequential hints to solve the problem.

June 10, 2020
Number of divisors and Integer | B.Stat Objective | TOMATO 83

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

June 10, 2020
Greatest Integer and remainder | TOMATO B.Stat Objective 113

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

June 9, 2020
The area of trapezoid | AMC 8, 2003 | Problem 21

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

June 9, 2020
Prime Number for ISI BStat | TOMATO Objective 70

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

June 9, 2020
Hundred Integers | ISI-B.Stat Entrance | TOMATO 82

Try this beautiful Hundred Integers problem on Number system from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

June 9, 2020
Largest area Problem | AMC 8, 2003 | Problem 22

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

June 8, 2020
ISI MStat 2019 PSA Problem 15 | Trigonometry Problem

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

June 8, 2020
ISI MStat 2019 PSA Problem 14 | Reflection of a point

This is a problem from ISI MStat 2019 PSA Problem no. 14. First, try the problem yourself, then go through the sequential hints we provide.

June 8, 2020
ISI MStat 2015 PSA Problem 17 | Basic Inequality

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

June 8, 2020
ISI MStat 2016 PSA Problem 9 | Equation of a circle

This is a beautiful problem from ISI MSTAT 2016 PSA problem 9 based on Equation of a circle . We provide sequential hints so that you can try .

June 8, 2020
ISI MStat 2015 PSA Problem 18 | Complex Number

This is a beautiful problem from ISI MSTAT 2015 PSA problem 18 based on complex number . We provide sequential hints so that you can try .

June 8, 2020
ISI MStat 2019 PSA Problem 12 | Domain of a function

This is a beautiful problem from ISI MSTAT 2019 problem 12 based on finding the domain of the function .We provide sequential hints so that you can try .

June 8, 2020
Number of points | TOMATO B.Stat Objective 713

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

June 8, 2020
Number of divisors and Integers | TOMATO B.Stat Objective 97

Try this TOMATO Objective Problem from I.S.I. B.Stat Entrance based on Number of divisors and Integers. You may use sequential hints to solve the problem.

June 7, 2020
Derivative Problem | TOMATO BStat Objective 764

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

June 7, 2020
Surface area of Cube Problem | AMC-10A, 2007 | Problem 21

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

June 6, 2020
Angles and Triangles | AIME I, 2012 | Question 12

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

June 6, 2020
Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25

Try this problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A, 2005 You may use sequential hints to solve the problem.

June 6, 2020
Digits and Numbers | AIME I, 2012 | Question 10

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

June 5, 2020
Largest Common Divisor | PRMO-2014 | Problem 11

Try this beautiful problem from Geometry based on Try this beautiful problem from Algebra based on Largest Common Divisor . from PRMO 2014. You may use sequential hints to solve the problem.

June 5, 2020
AP GP Problem | AMC-10A, 2004 | Question 18

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

June 5, 2020
Greatest Common Divisor | AMC-10A, 2018 | Problem 22

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

June 5, 2020
Area of the Octagon | AMC-10A, 2005 | Problem 20

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

June 5, 2020
Prime number Problem | ISI BStat | TOMATO Objective 96

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

June 4, 2020
ISI MStat 2019 PSA Problem 16 | Area bounded by the curve

This is a beautiful problem from ISI MSAT 2019 PSA problem 16 based on Area bounded by the curve .We provide sequential hints so that you can try .

June 4, 2020
ISI MStat 2018 PSA Problem 11 | Sequence & it's subsequence

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

June 4, 2020
ISI MStat 2018 PSA Problem 8 | Limit of a Function

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

June 4, 2020
ISI MStat 2018 PSA Problem 10 | Dirichlet Function

This is a beautiful problem from ISI MSAT 2018 PSA problem 10 based on Dirichlet Function. We provide sequential hints so that you can try .

June 4, 2020
ISI MStat 2018 PSA Problem 7 | Continuous Function

This is a beautiful problem from ISI MSAT 2018 PSA problem 7 based on Continuous Funtion. We provide sequential hints so that you can try .

June 4, 2020
ISI MStat 2018 PSA Problem 12 | Sequence of positive numbers

This is a beautiful problem from ISI MSAT 2018 PSA problem 12 based on Sequence of positive numbers. We provide sequential hints so that you can try .

June 2, 2020
Derivative of Function Problem | TOMATO BStat Objective 756

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.

June 2, 2020
ISI MStat 2019 PSA Problem 22 | Basic Probability

This is a beautiful problem from ISI MSAT 2018 PSA problem 13 based on basic counting principles . We provide sequential hints so that you can try .

June 2, 2020
ISI MStat 2018 PSA Problem 13 | Probability of functions

This is a beautiful problem from ISI MStat 2018 PSA problem 13 based on basic probability of functions. We provide sequential hints so that you can try .

June 2, 2020
ISI MStat 2018 PSA Problem 14 | All possible colorings

Try this problem from ISI MStat 2018 PSA Problem 14 based on all possible colorings. We provide sequential hints to help you solve the problem.

June 2, 2020
ISI MStat 2019 PSA Problem 11 | Multiplication Principle

This is a beautiful problem from ISI MSTAT 2019 PSA problem 11 based on basic counting principles . We provide sequential hints so that you can try .

June 1, 2020
ISI MStat PSA 2019 Problem 6 | Basic Counting principles

This is a beautiful problem from ISI MSTAT 2019 PSA problem 6 based on basic counting principles . We provide sequential hints so that you can try .

June 1, 2020
Lengths of Rectangle Problem | AMC-10A, 2009 | Problem 14

Try this beautiful problem from Geometry based on lengths of the rectangle from AMC-10A, 2009. You may use sequential hints to solve the problem.

June 1, 2020
Probability in Divisibility | AMC-10A, 2003 | Problem 15

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

May 31, 2020
ISI MStat 2019 PSA Problem 4 | Basic counting principle

This is a beautiful problem from ISI MSTAT 2019 PSA problem 4 based on basic counting principles . We provide sequential hints so that you can try .

May 31, 2020
Function Problem | AIME I, 1988 | Question 2

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

May 31, 2020
Area of a triangle | PRMO 2017 | Question 25

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

May 31, 2020
Problem on Fibonacci sequence | AIME I, 1988 | Question 13

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

May 28, 2020
ISI MStat PSA 2019 Problem 17 | Limit of a function

This is a beautiful problem from ISI Mstat 2019 PSA problem 17 based on limit of a function. We provide sequential hints so that you can try this .

May 28, 2020
ISI MStat PSA 2019 Problem 18 | Probability and Digits

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

May 28, 2020
Solving Equation | PRMO 2017 | Question 23

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

May 28, 2020
Reflection Problem | AIME I, 1988 | Question 14

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

May 27, 2020
ISI MStat PSB 2018 Problem 1 | System of Linear Equations

This is a beautiful sample problem from ISI MStat 2018 PSB Problem 1. This is based on finding the real solution of a system of homogeneous equations . We provide detailed solution with prerequisites mentioned explicitly.

May 27, 2020
Ordered Pairs | PRMO-2019 | Problem 18

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

May 27, 2020
Maximum area | PRMO-2019 | Problem 23

Try this beautiful Geometry problem from PRMO, 2019, problem-23, based on finding the maximum area. You may use sequential hints to solve the problem.

May 27, 2020
Rectangle Pattern | AMC-10A, 2016 | Problem 10

Try this beautiful problem from Geometry based on Rectangle Pattern from AMC-10A, 2016, Problem 10. You may use sequential hints to solve the problem.

May 27, 2020
Ratio of Circles | AMC-10A, 2009 | Problem 21

Try this beautiful problem from Geometry: Ratio of area of Circles from AMC-10A, 2009, Problem 21. You may use sequential hints to solve the problem.

May 27, 2020
Problem on Complex plane | AIME I, 1988| Question 11

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

May 27, 2020
Derivative of Function Problem | TOMATO BStat Objective 757

Try this I.S.I. B.Stat Entrance Objective Problem from TOMATO based on a derivative of Function. You may use sequential hints to solve the problem.

May 26, 2020
ISI MStat PSB 2015 Question 8 | MLE & amp | Stochastic Regression

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

May 25, 2020
ISI MStat Entrance is not just an Examination. How to Prepare for it?

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

May 25, 2020
ISI MStat PSB 2015 Problem 2 | Vector Space & its Dimension

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

May 21, 2020
Derivative of Function Problem | TOMATO BStat Objective 759

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.

May 21, 2020
Probability in Game | AMC-10A, 2005 | Problem 18

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

May 21, 2020
Discontinuity Problem | ISI B.Stat Objective | TOMATO 734

Try this beautiful problem based on Discontinuity from TOMATO 730 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

May 21, 2020
Quadratic Equation Problem | AMC-10A, 2005 | Problem 10

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

May 21, 2020
Covex Cyclic Quadrilateral | PRMO 2019 | Question 23

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

May 20, 2020
Ordered triples | PRMO 2017 | Question 21

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

May 20, 2020
Ratio of the areas | PRMO-2019 | Problem 19

Try this beautiful problem from PRMO, 2019, problem-19, based on the Ratio of the areas. You may use sequential hints to solve the problem.

May 20, 2020
Area of the Inner Square | AMC-10A, 2005 | Problem 8

Try this beautiful problem from Geometry: Area of the inner square AMC-10A, 2005, Problem-8. You may use sequential hints to solve the problem.

May 20, 2020
Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25

Try this beautiful problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A. You may use sequential hints to solve the problem.

May 20, 2020
Problem on Real Numbers | AIME I, 1990| Question 15

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

May 20, 2020
Digits and Integers | AIME I, 1990 | Question 13

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

May 19, 2020
ISI MStat 2016 Problem 1 | Area bounded by the curves | PSB Sample

This is a beautiful problem from ISI MStat 2016 PSB (sample) Problem 1 based on area bounded by the curves. We provide a detailed solution with the prerequisites mentioned explicitly.

May 19, 2020
Complex numbers and Sets | AIME I, 1990 | Question 10

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

May 19, 2020
Consecutive positive Integers | AIME I, 1990| Question 11

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

May 19, 2020
Derivative of Function | TOMATO BStat Objective 767

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.

May 19, 2020
Logarithm Problem From SMO, 2011 | Problem 7

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

May 19, 2020
Sides of Quadrilateral | PRMO 2017 | Question 20

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

May 18, 2020
Kernel of a linear transformation | ISI MStat 2016 Problem 4 | PSB Sample

This is a beautiful problem from ISI MStat 2016 PSB (sample) based on Vectorspace . It uses several concepts to solve it . We provide detailed solution with prerequisites mentioned explicitly .

May 18, 2020
Pentagon & Square Pattern | AMC-10A, 2001 | Problem 18

Try this beautiful problem from Geometry based on pentagon and square pattern from AMC-10A, 2001. You may use sequential hints to solve the problem.

May 18, 2020
Fair coin Problem | AIME I, 1990 | Question 9

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

May 18, 2020
Problem on Limit | ISI B.Stat Objective | TOMATO 728

Try this beautiful problem based on calculas from TOMATO 728 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

May 18, 2020
Real valued function | ISI B.Stat Objective | TOMATO 690

Try this beautiful problem based on Real valued function from TOMATO 690 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

May 18, 2020
Sum of the numbers | AMC-10A, 2001 | Problem 16

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

May 18, 2020
Convex polyhedron Problem | AIME I, 1988 | Question 10

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

May 17, 2020
ISI MStat 2016 (Sample) Problem 2 | Continuous function | PSB

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

May 17, 2020
Ordered pair Problem | AIME I, 1987 | Question 1

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

May 17, 2020
Circular Cylinder Problem | AMC-10A, 2001 | Problem 21

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

May 17, 2020
Positive divisor | AIME I, 1988 | Question 5

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

May 17, 2020
Derivative of Function | TOMATO BStat Objective 763

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on derivative of Function. You may use sequential hints to solve the problem.

May 17, 2020
Area of the Region Problem | AMC-10A, 2007 | Problem 24

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

May 17, 2020
Algebraic Equation | AMC-10A, 2001 | Problem 10

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

May 16, 2020
Trace & Determinant | ISI MStat 2017 Problem 1 | PSB

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

May 16, 2020
Head Tail Problem | AIME I, 1986 | Question 13

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

May 16, 2020
Expansion Problem | ISI B.Stat Objective | TOMATO 102

Try this beautiful problem based on expansion from TOMATO 102 useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

May 16, 2020
Rearrangement Problem | PRMO 2019 | Question 27

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

May 16, 2020
Natural Numbers Problem | PRMO 2019 | Question 30

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

May 16, 2020
Arranging in column | AIME I, 1990 | Question 8

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

May 16, 2020
Surface Area Problem | TOMATO BStat Objective 725

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

May 15, 2020
ISI MStat 2016 Problem 5 | Order Statistics | PSB Sample

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

May 15, 2020
Sum of the digits | AMC-10A, 2007 | Problem 25

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

May 15, 2020
Integers and Divisors | ISI-B.Stat Entrance | TOMATO 98

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

May 15, 2020
Problem on Circumscribed Circle | AMC-10A, 2003 | Problem 17

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

May 15, 2020
Medians of triangle | PRMO-2018 | Problem 10

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

May 15, 2020
Sum of Co-ordinates | AMC-10A, 2014 | Problem 21

Try this beautiful sum of Co-ordinates based on co-ordinate Geometry from AMC-10A, 2014. You may use sequential hints to solve the problem.

May 15, 2020
Area of Hexagon Problem | AMC-10A, 2014 | Problem 13

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

May 14, 2020
Hyperbola & Tangent | ISI MStat 2016 Problem 1 | PSB Sample

This is a beautiful problem from ISI MStat 2016 (sample ) PSB Problem 1. This is based on finding the minimum value of a function subjected to the restriction .

May 14, 2020
Diameter of a circle | PRMO 2019 | Question 25

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

May 14, 2020
Problem on Positive Integers | PRMO-2019 | Problem 26

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

May 14, 2020
Combination of Equations | SMO, 2010 | Problem No. 7

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

May 14, 2020
Largest Possible Value | PRMO-2019 | Problem 17

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

May 14, 2020
Sign change | ISI-B.stat | Objective Problem 709

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

May 14, 2020
Limit Problem | ISI-B.stat | Objective Problem 694

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

May 13, 2020
Combinatorics in Tournament | AIME I, 1985 | Question 14

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

May 13, 2020
Maximum and Minimum Element | TOMATO BStat Objective 715

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

May 13, 2020
Problem on Function | TOMATO BStat Objective 720

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on function. You may use sequential hints to solve the problem.

May 13, 2020
Interior Angle Problem | AIME I, 1990 | Question 3

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

May 13, 2020
Smallest positive Integer Problem | AIME I, 1990 | Question 5

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

May 13, 2020
Proper divisors | AIME I, 1986 | Question 8

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

May 12, 2020
Algebraic value | AIME I, 1990 | Question 2

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

May 12, 2020
Dice Problem | AMC-10A, 2011 | Problem 14

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

May 12, 2020
Area of Region in a Circle | AMC-10A, 2011 | Problem 18

Try this beautiful problem from Geometry: Area of Region in a Circle from AMC-10A, 2011, Problem -18. You may use sequential hints to solve the problem.

May 12, 2020
Positive solution | AIME I, 1990 | Question 4

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

May 12, 2020
Smallest positive value | Algebra | PRMO-2019 | Problem 13

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

May 12, 2020
Regular polygon | Combinatorics | PRMO-2019 | Problem 15

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

May 11, 2020
Greatest Integer | PRMO 2019 | Question 22

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

May 11, 2020
Parallelogram Problem | AIME I, 1996 | Question 15

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

May 11, 2020
Good numbers Problem | PRMO-2019 | Problem 12

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

May 11, 2020
Graph in Calculus | ISI-B.stat | Objective Problem 699

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

May 11, 2020
Set of real numbers | TOMATO B.Stat Objective 714

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

May 11, 2020
Right Rectangular Prism | AIME I, 1995 | Question 11

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

May 10, 2020
ISI MStat 2016 Problem 10 | PSB Sample | It's a piece of cake!

This is a problem from ISI MStat 2016 sample paper which tests the student's ability to write a model and then test the equality of parameters in it using appropriate statistics.

May 10, 2020
Sectors in Circle | AMC-10A, 2012 | Problem 10

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

May 10, 2020
Sum of whole numbers | AMC-10A, 2012 | Problem 8

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

May 10, 2020
Pyramid with Square base | AIME I, 1995 | Question 12

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

May 10, 2020
Repeatedly Flipping a Fair Coin | AIME I, 1995| Question 15

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

May 10, 2020
Problem on Largest Prime Factor | PRMO 2019 | Question 21

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

May 10, 2020
Number of roots Problem | TOMATO B.Stat Objective 712

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

May 9, 2020
Trigonometry Simplification | SMO, 2009 | Problem 26

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

May 9, 2020
Roots of Equation | TOMATO B.Stat Objective 711

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

May 9, 2020
Sum of digits | PRMO 2019 | Question 20

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

May 9, 2020
Smallest positive Integer | AIME I, 1993 | Question 6

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

May 9, 2020
Equation of X and Y | AIME I, 1993 | Question 13

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

May 9, 2020
Area of quadrilateral | AMC-10A, 2020 | Problem 20

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

May 8, 2020
Tetrahedron Problem | AMC-10A, 2011 | Problem 24

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

May 8, 2020
Problem from Inequality | PRMO-2018 | Problem 23

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

May 8, 2020
Periodic Function | TOMATO B.Stat Objective 710

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

May 8, 2020
Largest Area of Triangle | AIME I, 1992 | Question 13

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

May 8, 2020
Direction & Angles | PRMO-2019 | Problem 4

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

May 8, 2020
Negative & Positive Roots | ISI-B.stat | Objective Problem 708

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

May 7, 2020
Problem on Calculus | ISI-B.stat | Objective Problem 696

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

May 7, 2020
Rearrangement Problem | TOMATO B.Stat Objective 125

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

May 7, 2020
Problem on Equilateral Triangle | AMC-10A, 2010 | Problem 14

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

May 7, 2020
Cubical Box | AMC-10A, 2010 | Problem 20

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

May 7, 2020
Graphs in Calculus | ISI-B.stat | Objective Problem 698

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

May 7, 2020
Roots of cubic equation | AMC-10A, 2010 | Problem 21

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

May 6, 2020
CLT and Confidence Limits | ISI MStat 2016 PSB Problem 8

This is a problem from ISI MStat Examination 2016. This primarily tests the student's knowledge in finding confidence intervals and using the Central Limit Theorem as an useful approximation tool.

May 6, 2020
GP and 2-digit number | PRMO 2017 | Question 16

Try this beautiful problem from the Pre-RMO, 2017 based on GP and 2-digit number. You may use sequential hints to solve the problem.

May 6, 2020
Medians | Geometry | PRMO-2018 | Problem 13

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

May 6, 2020
Quadratic equation | ISI-B.stat | Objective Problem 240

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

May 6, 2020
Hexagon Problem | Geometry | AMC-10A, 2010 | Problem 19

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

May 6, 2020
Altitudes of triangle | PRMO 2017 | Question 17

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

May 6, 2020
Digits and Rationals | AIME I, 1992 | Question 5

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

May 5, 2020
Sum of digits | AMC-10A, 2020 | Problem 8

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

May 5, 2020
Integer Problem | AMC 10A, 2020 | Problem 17

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

May 5, 2020
Average and Integers | PRMO 2017 | Question 15

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

May 5, 2020
Problem on Probability from SMO, 2012 | Problem 33

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

May 5, 2020
Equations and Roots | TOMATO B.Stat Objective 123

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

May 5, 2020
Row of Pascal Triangle | AIME I, 1992 | Question 4

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

May 5, 2020
Life Testing Experiment | ISI MStat 2017 PSB Problem 5

This is a problem from the ISI MStat 2017 Entrance Examination and tests how good are your skills in modelling a life testing experiment using exponential distribution.

May 5, 2020
Unbiased, Pascal and MLE | ISI MStat 2019 PSB Problem 7

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

May 5, 2020
Vandermone's SRSWR | MStat 2017 PSB Problem 3

This is a problem from ISI MStat 2017 PSB Problem 3, where we use the basics of Bijection principle and Vandermone's identity to solve this problem.

May 4, 2020
Time & Work Problem | PRMO-2017 | Problem 3

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

May 4, 2020
Problem on Balls | ISI-B.stat | Objective Problem 128

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

May 4, 2020
Digits and Order | AIME I, 1992 | Question 2

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

May 4, 2020
Sets and Integers | TOMATO B.Stat Objective 121

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

May 4, 2020
Ratio and Inequalities | AIME I, 1992 | Question 3

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

May 4, 2020
Problem on Geometric Progression | PRMO 2017 | Question 14

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

May 4, 2020
Let's Permute | ISI MStat 2018 PSB Problem 3

This problem is an easy application of the basic algorithmic ideas to approach a combinatorics problem using permutation and combination and basic counting principles. Enjoy this problem 3 from ISI MStat 2018 PSB.

May 3, 2020
Problem on Area of Trapezoid | AMC-10A, 2002 | Problem 25

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

May 3, 2020
Ratio Of Two Triangles | AMC-10A, 2004 | Problem 20

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

May 3, 2020
Quadratic equation Problem | AMC-10A, 2002 | Problem 12

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

May 3, 2020
Arbitrary Arrangement | TOMATO B.Stat Objective 119

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

May 3, 2020
Remainders and Functions | AIME I, 1994 | Question 7

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

May 3, 2020
Problem on Rational Numbers | AIME I, 1992 | Question 1

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

May 3, 2020
Telescopic Continuity | ISI MStat 2015 PSB Problem 1

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

May 3, 2020
Invariant Regression Coefficient | ISI MStat 2019 PSB Problem 8

This is a problem from ISI MStat Examination,2019. This tests one's familiarity with the simple and multiple linear regression model and estimation of model parameters and is based on the Invariant Regression Coefficient.

May 2, 2020
Size, Power, and Condition | ISI MStat 2019 PSB Problem 9

This is a problem from the ISI MStat Entrance Examination, 2019. This primarily tests one's familiarity with size, power of a test and whether he/she is able to condition an event properly.

May 2, 2020
Points of Equilateral triangle | AIME I, 1994 | Question 8

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

May 2, 2020
Problem on Real numbers | Algebra | PRMO-2017 | Problem 18

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

May 2, 2020
Problem on Ratio | PRMO 2017 | Question 12

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

May 2, 2020
Largest possible value | AMC-10A, 2004 | Problem 15

Try this beautiful problem from Number Theory based on largest possible value from AMC-10A, 2004. You may use sequential hints to solve the problem.

May 2, 2020
Problem on Cylinder | AMC-10A, 2004 | Problem 11

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

May 2, 2020
Length of a Tangent | AMC-10A, 2004 | Problem 22

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

May 2, 2020
Shift the Curves | ISI MStat 2019 PSB Problem 1

This problem is an easy application in calculus using the basic ideas of curve sketching. This is the problem 1 from ISI MStat 2019 PSB.

May 1, 2020
Neyman Welcomes You | ISI MStat 2018 PSB Problem 8

This is a problem from ISI MStat Examination,2018.
It involves construction of a most powerful test of size alpha using Neyman Pearson Lemma. The aim is to find its critical region in terms of quantiles of a standard distribution.

May 1, 2020
Conditions and Chance | ISI MStat 2018 PSB Problem 5

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

May 1, 2020
Binomial Expression | TOMATO B.Stat Objective 117

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Binomial Expression. You may use sequential hints to solve the problem.

May 1, 2020
Right angled triangle | AIME I, 1994 | Question 10

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

May 1, 2020
Perfect square and Positive Integer | TOMATO B.Stat Objective 115

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Perfect square and Positive Integer. You may use sequential hints.

May 1, 2020
Complex roots and equations | AIME I, 1994 | Question 13

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

May 1, 2020
Length and Inequalities | AIME I, 1994 | Question 12

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

May 1, 2020
Trigonometry & natural numbers | PRMO 2017 | Question 11

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

April 30, 2020
Integer Problem | ISI BStat | Objective Problem 156

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

April 30, 2020
Probability | AMC-10A, 2003 | Problem 8

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

April 30, 2020
Numbers on cube | AMC-10A, 2007 | Problem 11

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

April 30, 2020
Pairs of Positive Integer | ISI-B.stat | Objective Problem 178

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

April 30, 2020
Quadratic equation | ISI-B.stat | Objective Problem 198

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

April 30, 2020
Symmetry, Counting, and Partition | ISI MStat PSB 2015 Problem 4

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

April 29, 2020
Application of Cauchy Functional Equations | ISI MStat 2019 PSB Problem 4

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

April 29, 2020
GCD and Ordered pair | AIME I, 1995 | Question 8

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

April 29, 2020
Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 2a

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

April 29, 2020
Integers and Inequality | PRMO 2017 | Question 7

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

April 29, 2020
Problem on Permutation | SMO, 2011 | Problem No. 24

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

April 29, 2020
Diamond Pattern | AMC-10A, 2009 | Problem 15

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

April 28, 2020
Problem on Digits | TOMATO B.Stat Objective 111

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Problem on Digits. You may use sequential hints to solve the problem.

April 28, 2020
Problem on Positive Integer | AIME I, 1995 | Question 6

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

April 28, 2020
Series Problem | PRMO 2017 | Question 6

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

April 28, 2020
Trigonometry and greatest integer | AIME I, 1997 | Question 11

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

April 28, 2020
Trigonometry and positive integers | AIME I, 1995 | Question 7

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

April 28, 2020
Central Limit Theorem by Simulation ( R Studio)

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

April 28, 2020
Data, Determinant and Simplex

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

April 27, 2020
Arrangement in a Ring | TOMATO B.Stat Objective 103

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Arrangement in a Ring. You may use sequential hints to solve the problem.

April 27, 2020
Odd and Even integers | AIME I, 1997 | Question 1

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

April 27, 2020
Two and Three-digit numbers | AIME I, 1997 | Question 3

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

April 27, 2020
Geometric Progression and Integers | PRMO 2017 | Question 5

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

April 27, 2020
Number of triangles in Polygon | TOMATO B.Stat Objective 105

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on number of triangles in a Polygon. You may use sequential hints.

April 26, 2020
Problem on Integral Inequality | ISI - MSQMS - B, 2015

Try this problem from ISI MSQMS 2015 which involves the concept of Integral Inequality and real analysis. You can use the sequential hints provided to solve the problem.

April 26, 2020
Sitting arrangement | ISI-B.stat | Objective Problem 120

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

April 26, 2020
Probability Dice Problem | AMC-10A, 2009 | Problem 22

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

April 26, 2020
Problem on Trigonometry | SMO, 2008 | Problem - 22

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

April 26, 2020
Application of Pythagoras Theorem | SMO, 2010 | Problem 22

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

April 25, 2020
Counting Double Subsets | ISI MStat 2014 Sample PSB Problem 3

This problem is an extension of the bijection princple idea used in counting the number of subsets of a set. This is ISI MStat 2014 Sample Paper PSB Problem 3.

April 25, 2020
Inequality Problem From ISI - MSQMS - B, 2017 | Problem 3a

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

April 25, 2020
Probability in Divisibility | AMC-10A, 2003 | Problem 15

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

April 25, 2020
Problem based on Triangles | PRMO-2018 | Problem 12

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

April 25, 2020
Functional Equations Problem | SMO, 2012 | Problem 33

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

April 24, 2020
Trigonometry Problem from SMO, 2008 | Problem No.17

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

April 24, 2020
Pattern Problem | AMC-10A, 2003 | Problem 23

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

April 24, 2020
Divisibility Problem from AMC 10A, 2003 | Problem 25

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

April 24, 2020
Condition checking | ISI-B.stat Entrance | Objective Problem 60

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

April 24, 2020
Elchanan Mossel's Dice Paradox | ISI MStat 2018 PSB Problem 6

This problem is called the Elchanan Mossel's Dice Paradox. The problem has a paradoxical nature, but there is always a way out. This ISI MStat 2018 PSB Problem 6.

April 23, 2020
Perfect square Problem | AIME I, 1999 | Question 3

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

April 23, 2020
Function of Complex numbers | AIME I, 1999 | Question 9

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

April 23, 2020
Squares and Triangles | AIME I, 1999 | Question 4

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

April 23, 2020
Sum of squares of two numbers | B.Stat Objective | TOMATO 77

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

April 23, 2020
Non-Consecutive Selection | ISI MStat 2019 PSB Problem 3

This problem is a beautiful and simple application of bijection principle to count how we can select the number of non consecutive integers in combinatorics from Problem 3 of ISI MStat 2019 PSB.

April 22, 2020
Intertwined Conditional Probability | ISI MStat 2016 PSB Problem 4

This is an interesting problem from conditional probability and bernoulli random variable mixture, which gives a sweet and sour taste to the Problem 4 of ISI MStat 2016 PSB.

April 22, 2020
Series and Integers | B.Stat Objective | TOMATO 81

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

April 22, 2020
A Parallelogram and a Line | AIME I, 1999 | Question 2

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

April 22, 2020
Triangle and Integer | PRMO 2019 | Question 28

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

April 22, 2020
Combination of Sequence | B.Stat Objective | TOMATO 79

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

April 21, 2020
Venny Venny AMy GMy | ISI MStat 2016 PSB Problem 3

This problem is a very basic and cute application of set theory, venn diagram and and am gm inequality to solve the ISI MStat 2016 PSB Problem 3.

April 21, 2020
Smallest prime Problem | AIME I, 1999 | Question 1

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

April 21, 2020
Area of Triangle and Integer | PRMO 2019 | Question 29

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

April 21, 2020
Cones and circle | AIME I, 2008 | Question 5

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

April 21, 2020
Incentre and Triangle | AIME I, 2001 | Question 7

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

April 20, 2020
Likelihood & the Moment | ISI MStat 2016 PSB Problem 7

This problem is a beautiful example when the maximum likelihood estimator is same as the method of moments estimator. Infact, we have proposed a general problem, is when exactly, they are equal? This is from ISI MStat 2016 PSB Problem 7, Stay Tuned.

April 20, 2020
Merry-go-round Problem | ISI-B.Stat Entrance | TOMATO 104

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

April 20, 2020
Octahedron Problem | AMC-10A, 2006 | Problem 24

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

April 20, 2020
Probability in Coordinates | AMC-10A, 2003 | Problem 12

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

April 20, 2020
Problem based on Triangle | PRMO-2012| Problem 7

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

April 20, 2020
Triangle and Trigonometry | AIME I, 1999 Question 14

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

April 19, 2020
Weekly Schedule : Week of April 20 to 26
April 19, 2020
Problem on HCF | SMO, 2013 | Problem 35

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

April 19, 2020
Problem on Area of Triangle | SMO, 2010 | Problem 32

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

April 19, 2020
Integers and remainders | TOMATO B.Stat Objective 85

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

April 19, 2020
Probability in Games | AIME I, 1999 | Question 13

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

April 19, 2020
Least Positive Integer Problem | AIME I, 2000 | Question 1

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

April 19, 2020
Theory of Equations | AIME I, 2015 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Theory of Equations.

April 18, 2020
Equations and Complex numbers | AIME I, 2019 Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2019 based on Equations and Complex numbers.

April 18, 2020
Correlation of two ab(Normals) | ISI MStat 2016 PSB Problem 6

This problem is an interesting application of the moment generating function of normal random variable to see how the correlation behaves under monotone function. This is the problem 6 from ISI MStat 2016 PSB.

April 18, 2020
Area of Equilateral Triangle | AIME I, 2015 | Question 4

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 from Geometry based on Area of Equilateral Triangle.

April 18, 2020
Probability Problem | Combinatorics | AIME I, 2015 - Question 5

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

April 18, 2020
Probability of tossing a coin | AIME I, 2009 | Question 3

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on Probability of tossing a coin.

April 18, 2020
Probability of divisors | AIME I, 2010 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability of divisors.

April 18, 2020
Equations with number of variables | AIME I, 2009 | Question 14

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2009 based on Equations with a number of variables.

April 18, 2020
Logic and Group | TOMATO B.Stat Objective Question

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Group. You may use sequential hints to solve the problem.

April 17, 2020
Coordinate Geometry Problem | AIME I, 2009 Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Coordinate Geometry.

April 17, 2020
Exponents and Equations | AIME I, 2010 Question 3

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Exponents and Equations.

April 17, 2020
Two Arrangements | PRMO 2019 | Question 5

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

April 17, 2020
Arrangement of digits | AIME I, 2012 | Question 5

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2012 based on Arrangement of Digits. You may use sequential hints.

April 17, 2020
Complex Numbers and prime | AIME I, 2012 | Question 6

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

April 17, 2020
Geometric Sequence Problem | AIME I, 2009 | Question 1

Try this beautiful problem from American Invitational Mathematics Examination I, AIME I, 2009 based on geometric sequence. Use hints to solve the problem.

April 17, 2020
Cycles, Symmetry, and Counting | ISI MStat 2016 PSB | Problem 2

This problem from ISI MStat 2016 PSB is a beautiful application of basic counting principles, symmetry and double counting principles in combinatorics.

April 16, 2020
Restricted Regression Problem | ISI MStat 2017 PSB Problem 7

This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7.

April 16, 2020
Problem on Natural Numbers | TIFR B 2010 | Problem 4

Try this problem of TIFR GS-2010 using your concepts of number theory and congruence based on natural numbers. You may use the sequential hints provided.

April 16, 2020
Definite Integral Problem | ISI 2018 | MSQMS- A | Problem 22

Try this problem from ISI-MSQMS 2018 which involves the concept of Real numbers, sequence and series and Definite integral. You can use the sequential hints

April 16, 2020
Problem on Functional Equation | SMO, 2010 | Problem 31

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2010 based on functional equation. You may use sequential hints.

April 16, 2020
Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 4b

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

April 16, 2020
Inequality Problem | ISI - MSQMS 2018 | Part B | Problem 4

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

April 16, 2020
Trigonometry Problem | PRMO 2016 | Question 14

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

April 15, 2020
Lock and Key | ISI MStat 2017 PSB | Problem 6

This problem is a beautiful and elegant probability based on elementary problem on how to effectively choose the key to a lock. This gives a simulation environment to the problem 6 of ISI MStat 2017 PSB.

April 15, 2020
Roots of Equations | PRMO-2016 | Problem 8

Try this beautiful problem from Algebra based on quadratic equation from PRMO 2016. You may use sequential hints to solve the problem.

April 15, 2020
Remainder Problem | ISI-B.Stat Entrance | TOMATO 90

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

April 15, 2020
Composite number Problem | B.Stat Objective | TOMATO 75

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

April 15, 2020
Triangles and sides | AIME I, 2009 | Question 5

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Triangles and sides.

April 15, 2020
Rectangles and sides | AIME I, 2011 | Question 2

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

April 15, 2020
Positive Integers Problem | TIFR B 201O | Problem 12

Try this problem of TIFR GS-2010 using your concepts of number theory based on Positive Integers. You may use the sequential hints provided.

April 15, 2020
A Telescopic Sequence| ISI MStat 2018 PSB Problem 2

This is a beautiful problem from ISI MStat 2018 problem 2, which uses the cutae little ideas of telescopic sum and partial fractions.

April 14, 2020
Measuring the length in Triangle | AMC-10B, 2011 | Problem 9

Try this beautiful problem from Geometry: Triangle from AMC-10B, 2011, Problem-9. You may use sequential hints to solve the problem.

April 14, 2020
Area of Triangle Problem | AMC-10A, 2009 | Problem 10

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

April 14, 2020
Arithmetic Progression | AMC-10B, 2004 | Problem 21

Try this beautiful problem from algebra, based on Arithmetic Progression from AMC-10B, 2004. You may use sequential hints to solve the problem

April 14, 2020
Area of the Trapezium | AMC-10A, 2018 | Problem 24

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

April 14, 2020
CYCLIC GROUP Problem | TIFR 201O | PART A | PROBLEM 1

Try this problem from TIFR GS-2010 which involves the concept of cyclic group. You can use the sequential hints provided to solve the problem.

April 14, 2020
Problem based on Triangle | PRMO-2016 | Problem 10

Try this beautiful problem from PRMO, 2016 based on Triangle You may use sequential hints to solve the problem.

April 14, 2020
The Unique Decomposition | ISI MStat 2015 PSB Problem 3

The solution plays with eigen values and vectors to solve this cute and easy problem in Linear Algebra from the ISI MStat 2015 problem 3.

April 13, 2020
Sequence and Integers | AIME I, 2007 | Question 14

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2007 based on Sequence and Integers.

April 13, 2020
Patterns and Integers | AIME I, 2001 | Question 14

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

April 13, 2020
Centroids and Area | PRMO 2018 | Question 21

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

April 13, 2020
Logic and Integers | B.Stat Objective | TOMATO 73

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

April 13, 2020
REAL ANALYSIS PROBLEM | TIFR A 201O | PROBLEM 5

Try this problem of TIFR GS-2010 from Real analysis, Differentiantiation and Maxima, and Minima. Try with the sequential hints provided.

April 13, 2020
Centroid of Triangle | SMO, 2009 | Problem 1

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Centroid of Triangle. You may use sequential hints to solve the problem.

April 13, 2020
Rectangle and Squares | PRMO 2019 | Question 24

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

April 13, 2020
Invariant Regression Estimate | ISI MStat 2016 PSB Problem 7

This cute little problem gives us the wisdom that when we minimize two functions at single point uniquely , then their sum is also minimized at the same point. This is applied to calculate the least square estimates of two group regression from ISI MStat 2016 Problem 7.

April 13, 2020
Discover the Covariance | ISI MStat 2016 Problem 6

This problem from ISI MStat 2016 is an application of the ideas of indicator and independent variables and covariance of two summative random variables.

April 12, 2020
Tracing the Trace | ISI MStat 2016 PSB Problem 3

This ISI MStat 2016 problem is an application of the ideas of tracing the trace and Eigen values of a matrix and using a cute sum of squares identity.

April 12, 2020
Planes and distance | AIME I, 2011 | Question 13

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

April 12, 2020
GCD and Sequence | AIME I, 1985 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1985 based on GCD and Sequence.

April 12, 2020
Equations and roots | B.Stat Objective | TOMATO 71

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

April 12, 2020
GCD and Primes | PRMO 2017 | Question 29

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

April 12, 2020
Integer and Divisibility | B.Stat Objective | TOMATO 69

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

April 11, 2020
Series Problem | SMO, 2013 | Problem 27

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

April 11, 2020
Function and symmetry | AIME I, 1984 | Question 12

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1984 based on Function and symmetry. You may use sequential hints.

April 11, 2020
Problem on Prime Numbers | SMO, 2012 | Problem 20

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

April 11, 2020
Logic and speed | AIME I, 2008 | Question 3

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

April 11, 2020
Logic True-False Reasoning | B.Stat Objective | TOMATO 67

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

April 10, 2020
Problem based on Triangle | PRMO-2018 | Problem 21

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

April 10, 2020
Problem based on LCM | AMC 8, 2016 | Problem 20

Try this beautiful problem from Algebra based on LCM from AMC-8, 2016. You may use sequential hints to solve the problem.

April 10, 2020
Ratio of LCM & GCF | Algebra | AMC 8, 2013 | Problem 10

Try this beautiful problem from Algebra aboutRatio of Lcm & gcf from AMC-8, 2013. You may use sequential hints to solve the problem.

April 10, 2020
Equations and Integers | AIME I, 2008 | Question 4

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

April 9, 2020
Inverse Uniform Distribution | ISI MStat 2007 PSB Problem 4

This problem is an intersting application of the inverse uniform distribution family, which has infinite mean. This problem is from ISI MStat 2007. The problem is verified by simulation.

April 9, 2020
Logic and True-False | B.Stat Objective | TOMATO 65

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

April 9, 2020
Area of The Region | AMC-8, 2017 | Problem 25

Try this beautiful problem from Geometry: The area of the region, AMC-8, 2017. You may use sequential hints to solve the problem.

April 9, 2020
Problem on Series | SMO, 2009 | Problem No. 25

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Problem on Series. You may use sequential hints to solve the problem.

April 9, 2020
Area of the figure | AMC-8, 2014 | Problem 20

Try this beautiful problem from Geometry:Area inside the rectangle but outside all three circles.AMC-8, 2014. You may use sequential hints to solve the problem

April 8, 2020
Collect All The Toys | ISI MStat 2013 PSB Problem 9

Remember, we used to collect all the toy species from our chips' packets. We were all confused about how many more chips to buy? Here is how, probability guides us through in this ISI MStat 2013 Problem 9.

April 8, 2020
Smallest Positive Integer | PRMO 2019 | Question 14

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

April 8, 2020
Squares and Triangles | AIME I, 2008 | Question 2

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

April 8, 2020
Relations and Numbers | B.Stat Objective | TOMATO 63

Try this TOMATO problem from I.S.I. B.Stat Objective based on Relations and Numbers. You may use sequential hints to solve the problem.

April 8, 2020
Percentage Problem | AIME I, 2008 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Percentage. you may use sequential hints.

April 8, 2020
Two-Faced Problem | ISI MStat 2013 PSB Problem 1

This post gives you both an analytical and a statistical insight into ISI MStat 2013 PSB Problem 1. Stay Tuned!

April 7, 2020
Angles in a circle | PRMO-2018 | Problem 8

Try this beautiful problem from PRMO, 2018 based on Angles in a circle. You may use sequential hints to solve the problem.

April 7, 2020
Circles and Triangles | AIME I, 2012 | Question 13

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

April 7, 2020
Complex Numbers and Triangles | AIME I, 2012 | Question 14

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

April 7, 2020
Triangles and Internal bisectors | PRMO 2019 | Question 10

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

April 6, 2020
Eigen Values | ISI MStat 2019 PSB Problem 2

This post based on eigen values of matrices and using very basic inequalities gives a detailed solution to ISI M.Stat 2019 PSB Problem 2.

April 6, 2020
Problem on Semicircle | AMC 8, 2013 | Problem 20

Try this beautiful problem from AMC-8, 2013, (Problem-20) based on area of semi circle.You may use sequential hints to solve the problem.

April 6, 2020
Linear Equations | AMC 8, 2007 | Problem 20

Try this beautiful problem from Algebra based on Linear equations from AMC-8, 2007. You may use sequential hints to solve the problem.

April 6, 2020
Radius of semicircle | AMC-8, 2013 | Problem 23

Try this beautiful problem from Geometry: Radius of semicircle from AMC-8, 2013, Problem-23. You may use sequential hints to solve the problem.

April 6, 2020
Digit Problem from SMO, 2012 | Problem 14

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

April 5, 2020
Perfect cubes | Algebra | AMC 8, 2018 | Problem 25

Try this beautiful problem from Algebra based on Perfect cubes from AMC-8, 2018, Problem -25. You may use sequential hints to solve the problem.

April 5, 2020
Time and Work | PRMO-2017 | Problem 3

Try this beautiful problem from PRMO, 2017 based on Time and work. You may use sequential hints to solve the problem.

April 5, 2020
Problem based on Integer | PRMO-2018 | Problem 4

Try this beautiful problem from Algebra based on integer from PRMO 8, 2018. You may use sequential hints to solve the problem.

April 5, 2020
Integer | ISI-B.stat Entrance(Objective from TOMATO) | Problem 72

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

April 5, 2020
Counting Principle - Concept with Problem | Combinatorics

Learn the concept of the Counting Principle and make algorithms to count complex things in a simpler way with the help of Combinatorics problem.

April 5, 2020
Area of a Regular Hexagon | AMC-8, 2012 | Problem 23

Try this beautiful problem from Geometry: Area of the Regular Hexagon - AMC-8, 2012 - Problem 23. You may use sequential hints to solve the problem.

April 4, 2020
Mean Square Error | ISI MStat 2019 PSB Problem 5

This problem based on calculation of Mean Square Error gives a detailed solution to ISI M.Stat 2019 PSB Problem 5, with a tinge of simulation and code.

April 4, 2020
Rational Number and Integer | PRMO 2019 | Question 9

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

April 4, 2020
Inequations and Conditions | ISI B.Stat TOMATO Problem

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 […]

April 4, 2020
Box and ball Probability | B.Stat Objective TOMATO Problem 59

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 […]

April 4, 2020
Area of Triangle Problem | AMC-8, 2019 | Problem 21

Try this beautiful problem from Geometry: The area of triangle AMC-8, 2019. You may use sequential hints to solve the problem

April 3, 2020
Triangular Number Sequence | Explanation with Application

In Triangular Number Sequence, the numbers are in the form of an equilateral triangle arranged in a series or sequence. Let's learn with the application.

April 3, 2020
Combination of Cups | PRMO-2018 | Problem 11

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

April 3, 2020
Sequence | Arithmetic and Geometric | Learn with Problems

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

April 3, 2020
Central Limit Theorem | ISI MStat 2018 PSB Problem 7

This problem based on Central Limit Theorem gives a detailed solution to ISI M.Stat 2018 PSB Problem 7, with a tinge of simulation and code.

April 3, 2020
Probability Theory | ISI MStat 2015 PSB Problem B5

This is a detailed solution based on Probability Theory of ISI MStat 2015 PSB Problem B5, with the prerequisites mentioned explicitly. Stay tuned for more.

April 3, 2020
Cumulative Distributive Function | ISI M.Stat 2019 PSB Problem B6

This problem gives a detailed solution to ISI M.Stat 2019 PSB Problem 6, with a tinge of simulation and code. Stay tuned for more.

April 2, 2020
Maximum Likelihood Estimation | ISI MStat 2017 PSB Problem 8

This problem based on Maximum Likelihood Estimation, gives a detailed solution to ISI M.Stat 2017 PSB Problem 8, with a tinge of simulation and code.

April 2, 2020
Lines and Angles | PRMO 2019 | Question 7

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

April 2, 2020
Logarithm and Equations | AIME I, 2012 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Logarithm and Equations.

April 2, 2020
Cross section of solids and volumes | AIME I 2012 | Question 8

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Cross section of solids and volumes.

April 2, 2020
Angles of Star | AMC 8, 2000 | Problem 24

Try this beautiful problem from GeometryAMC-8, 2000 ,Problem-24, based triangle. You may use sequential hints to solve the problem.

April 1, 2020
Problem based on Integer | PRMO-2018 | Problem 6

Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem.

April 1, 2020
Number counting | TOMATO ISI BStat Objective Problem 56

Try this beautiful problem Based on Number counting. You may use sequential hints to solve the problem.

April 1, 2020
Area of a Triangle | AMC-8, 2000 | Problem 25

Try this beautiful problem from Geometry: Area of the triangle from AMC-8, 2000, Problem-25. You may use sequential hints to solve the problem.

April 1, 2020
Unit digit | Algebra | AMC 8, 2014 | Problem 22

Try this beautiful problem from Algebra about unit digit from AMC-8, 2014. You may use sequential hints to solve the problem.

March 31, 2020
Trapezium | Geometry | PRMO-2018 | Problem 5

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

March 31, 2020
Partial Differentiation | IIT JAM 2017 | Problem 5

Try this problem from IIT JAM 2017 exam (Problem 5).It deals with calculating the partial derivative of a multi-variable function.

March 31, 2020
Probability Problem | AMC 8, 2016 | Problem no. 21

Try this beautiful problem from Probability from AMC-8, 2016 Problem 21. You may use sequential hints to solve the problem.

March 31, 2020
Rolle's Theorem | IIT JAM 2017 | Problem 10

Try this problem from IIT JAM 2017 exam (Problem 10).You will need the concept of Rolle's Theorem to solve it. You can use the sequential hints.

March 31, 2020
Mixture | Algebra | AMC 8, 2002 | Problem 24

Try this beautiful problem from Algebra based on mixture from AMC-8, 2002.. You may use sequential hints to solve the problem.

March 30, 2020
Pattern Problem| AMC 8, 2002| Problem 23

Try this beautiful problem from Pattern from AMC-8(2002) problem no 23.You may use sequential hints to solve the problem.

March 30, 2020
Quadratic Equation Problem | PRMO-2018 | Problem 9

Try this beautiful problem from Algebra based on Quadratic equation from PRMO 8, 2018. You may use sequential hints to solve the problem.

March 30, 2020
Set theory | TOMATO ISI B.stat Objective | Problem 53

Try this beautiful problem Based on Set Theory .You may use sequential hints to solve the problem.

March 30, 2020
Arrangement Problem | AIME I, 2012 | Question 3

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

March 30, 2020
Area of the Trapezoid | AMC 8, 2002 | Problem 20

Try this beautiful problem from AMC-8, 2002, (Problem-20) based on area of Trapezoid.You may use sequential hints to solve the problem.

March 29, 2020
Problem related to Money | AMC 8, 2002 | Problem 25

Try this beautiful problem from Algebra based on Number theory fro AMC-8(2002) problem no 25.You may use sequential hints to solve the problem.

March 29, 2020
Divisibility Problem | PRMO 2019 | Question 8

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle.

March 29, 2020
Area of Trapezoid | AMC 10A, 2018 | Problem 9

Try this beautiful problem from AMC 10A, 2018 based on area of trapezoid. You may use sequential hints to solve the problem.

March 29, 2020
Problem on Series and Sequences | SMO, 2012 | Problem 23

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

March 29, 2020
Radius of Convergence of a Power series | IIT JAM 2016

Try this problem from IIT JAM 2017 exam (Problem 48) and know how to determine radius of convergence of a power series.We provide sequential Hints.

March 28, 2020
Problem from Probability | AMC 8, 2004 | Problem no. 21

Try this beautiful problem from Probability from AMC 8, 2004, Problem 21.You may use sequential hints to solve the problem.

March 28, 2020
Smallest Perimeter of Triangle | AIME I, 2015 | Question 11

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Smallest Perimeter of Triangle.

March 28, 2020
Theory of Equations | AIME I, 2015 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Theory of Equations.

March 28, 2020
Trigonometry Problem | AIME I, 2015 | Question 13

Try this beautiful problem number 13 from the American Invitational Mathematics Examination, AIME, 2015 based on Trigonometry.

March 27, 2020
Circumscribed circle of the hexagon | PRMO 2018 | Problem 7

Try this beautiful problem from Geometry based on Radius of the circumscribed circle of the hexagon .You may use sequential hints to solve the problem

March 27, 2020
Intersection of two Squares | AMC 8, 2004 | Problem 25

Try this beautiful problem from Geometry based on Intersection of two Squares AMC-8, 2004,Problem-25. You may use sequential hints to solve the problem.

March 27, 2020
Probability | AMC 8, 2004 | Problem no. 22

Try this beautiful problem from Probability from AMC-8, 2004 Problem 22. You may use sequential hints to solve the problem.

March 27, 2020
Area of Rectangle Problem | AMC 8, 2004 | Problem 24

Try this beautiful problem from GeometryAMC-8, 2004 ,Problem-24, based on area of Rectangle. You may use sequential hints to solve the problem.

March 27, 2020
Eigen Value of a matrix | IIT JAM 2017 | Problem 58

Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix. We provide sequential hints.

March 26, 2020
The Mathematics of How Virus can Grow

The Mathematics of How Corona Virus Grow? The beautiful tale of undeterministic mathematics of chance and chaos of when they will become extinct or when they will thrive.

March 26, 2020
Radius of the Circle | AMC-8, 2005 | Problem 25

Try this beautiful problem from Geometry:Radius of the Circle from AMC-8(2005). You may use sequential hints to solve the problem

March 26, 2020
Area of Isosceles Triangle | AMC 8, 2005 | Problem 23

Try this beautiful problem from AMC-8, 2005, Problem-23 based on the area of an isosceles triangle. You may use sequential hints to solve the problem

March 25, 2020
Cube of Positive Integer | Number Theory | AIME I, 2015 Question 3

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Cube of Positive Integer.

March 25, 2020
Arithmetic Sequence | AMC 10B, 2003 | Problem No. 24

Try this beautiful problem from AMC 10B, 2003 based on Arithmetic Sequence. You may use sequential hints to solve the problem.

March 25, 2020
Limit of a function | IIT JAM 2017 | Problem 8

Try this problem from IIT JAM 2017 exam (Problem 8). It deals with evaluating Limit of a function. We provide sequential hints.

March 25, 2020
Problem on Area of Circle | SMO, 2010 (Junior) | Problem 29

Try this beautiful problem on area of circle from SMO, Singapore Mathematics Olympiad, 2010. You may use sequential hints to solve the problem.

March 24, 2020
Number and Series | Number Theory | AIME I, 2015

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased.

March 24, 2020
Prime numbers | AMC 8, 2006| Problem 25

Try this beautiful problem from Algebra based on Number theory fro AMC-8(2006) problem no 25.You may use sequential hints to solve the problem.

March 24, 2020
Sum of Series from SMO - 2013 - Problem Number 29

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

March 24, 2020
Largest and smallest numbers | AMC 8, 2006 | Problem 22

Try this beautiful problem from Algebra about Largest and smallest numbers from AMC-8, 2006. You may use sequential hints to solve the problem.

March 23, 2020
Probability | AMC 8, 2010 | Problem no. 24

Try this beautiful problem from Probability from AMC-8(2007). You may use sequential hints to solve the problem.

March 23, 2020
Area of pinwheel | AMC 8, 2007 | Problem 23

Try this beautiful problem from AMC 8, 2007 Geometry based on pinwheel.You may use sequential hints to solve the problem

March 23, 2020
Probability Biased and Unbiased | AIME I, 2010 Question 4

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability Biased and Unbiased.

March 23, 2020
Gradient, Divergence and Curl | IIT JAM 2014 | Problem 5

Try this problem from IIT JAM 2014 exam. It deals with calculating Gradient of a scalar point function, Divergence and curl of a vector point function point function.. We provide sequential hints.

March 22, 2020
Area of Circle Problem | AMC 8, 2008 | Problem 25

Try this beautiful problem from AMC-8(2008),Problem-25,Geometry based on Area of a Circle. You may use sequential hints to solve the problem.

March 22, 2020
Number Theory of Primes | AIME I, 2015

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

March 22, 2020
Functional Equation Problem from SMO, 2013 - Senior Section

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

March 21, 2020
Total surface area of a cube | AMC-8, 2009 | Problem 25

Try this beautiful problem from Geometry: Total surface area of a cube. You may use sequential hints to solve the problem

March 21, 2020
Quadratic equation Problem | AMC 8, 2009 | Problem 23

Try this beautiful problem from Algebra based on Quadratic equation fro AMC-8(2009) problem no 23.You may use sequential hints to solve the problem.

March 21, 2020
Area of the triangle and square | AMC 8, 2008 | Problem 23

Try this beautiful problem from AMC-8(2008),Problem-23.Geometry based on Ratio of the area of the triangle and area of the square.You may use sequential hints to solve the problem

March 21, 2020
Differential Equation| IIT JAM 2014 | Problem 4

Try this problem from IIT JAM 2014 exam. It requires knowledge of exact differential equation and partial derivative. We provide sequential hints.

March 20, 2020
Functional Equation Problem | SMO, 2013 - Problem19 (Senior Section)

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

March 20, 2020
Inequality | HANOI 2018

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

March 20, 2020
Squares and Square roots | HANOI 2018

Try this beautiful problem from HANOI 2018 based on Squares and Square roots. You may use sequential hints to solve the problem.

March 20, 2020
Squares and Inequality | HANOI 2018

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

March 19, 2020
What is AMC 8 | How to prepare for AMC 8, 2021?

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 […]

March 19, 2020
Largest Hexagon in Equilateral Triangle | HANOI 2018

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on geometric sequence. Use hints to solve the problem.

March 19, 2020
Definite Integral as Limit of a sum | ISI QMS | QMA 2019

Try this problem from ISI QMS 2019 exam. It requires knowledge Real Analysis and integral calculus and is based on Definite Integral as Limit of a sum.

March 19, 2020
Problem from Area of Rectangle | SMO 2012 | Junior Section

Try this beautiful problem from area of rectangle from Singapore Math Olympiad, 2012, Junior Section. You may use sequential hints if required.

March 19, 2020
Divisibility Problem | HANOI 2018

Try this beautiful problem from HANOI, 2018 based on Divisibility. You may use sequential hints to solve the problem if required.

March 19, 2020
The Exaggerated Triangle Inequality

Triangle Inequality is an exaggerated version of the Basic Idea of the Euclidean Plane. Let's do some Triangle inequality Problems and Solutions.

March 18, 2020
Geometric Median |Understand the concept

Geometric Median is an important concept in the intersection of Geometry, Data Analysis and Algorithms. This article explores the concept.

March 18, 2020
Page number counting |AMC 8- 2010 -|Problem 21

Try this beautiful problem from Algebra about Page number counting from AMC-8(2010). You may use sequential hints to solve the problem.

March 18, 2020
Area of trapezoid | AMC 8, 2011|Problem 20

Try this beautiful problem from Geometry: The area of the trapezoid . You may use sequential hints to solve the problem.

March 18, 2020
Circles and points | HANOI 2018

Try this beautiful problem from HANOI, 2018 based on Circles and points. You may use sequential hints to solve the problem.

March 18, 2020
Circles and semi-circles| AMC 8, 2010|Problem 23

Try this beautiful problem from Geometry based on Ratio of the area of circle and semi-circles.You may use sequential hints to solve the problem.

March 17, 2020
Quadratic Equation | SMO, 2012 | Junior Section

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

March 17, 2020
Area of square and circle | AMC 8, 2011|Problem 25

Try this beautiful problem from AMC 8, 2011 based on the ratio of the area of square and circle.You may use sequential hints to solve the problem

March 17, 2020
Sequence and Series | HANOI 2018

Try this beautiful problem from HANOI 2018 based on Sequence and series. You may use sequential hints to solve the problem.