Lakhs of students participated in IOQM, the first level of real mathematical olympiads in India. Only 628 are in the top. At least 6 out them are from Cheenta.

How Cheenta works to ensure student success?

Explore the Back-Story 6 Cheenta students in top 628 in India - IOQM success story Read More

Lakhs of students participated in IOQM, the first level of real mathematical olympiads in India. Only 628 are in the top. At least 6 out them are from Cheenta.

How to teach mathematics : an experiment with triangular numbers and splitting of plane Read More

We discuss how to appreciate the beauty of mathematics and how to communicate the same to children using experiments and pattern recognition.

Geometry workshop for Math Olympiad - Thanksgiving 2022 Read More

In the Thanksgiving break, 2022, join Cheenta for an outstanding Geometry workshop for Math Olympiads. In this online workshop students will explore the beauty of geometric thinking and problem solving. Trainer: Dr. Ashani DasguptaPhD in Mathematics from University of Wisconsin-MilwaukeeMath Olympiad coach at Cheenta since 2010 For high school (Grades 9 to 12) Thursday - […]

What is Cheenta Math Circle and how is it creating success stories in advanced mathematics? Read More

Understand how Cheenta Math Circles are critical for training students for math olympiads and other advanced mathematical competitions.

IOQM 2022 problems, solutions, discussion Read More

Problems, solutions and discussion on IOQM 2022 (India).

Sword does not need to remember how the whetstone looks Read More

Imagine sharpening your sword with a whetstone. The job of the stone is to sharpen the sword. It does not matter what color the stone is. Cheenta programs are designed like whetstones. They are supposed to sharpen the creativity and problem solving skills through a slow but sure process. They involve thousands of thought provoking […]

Power of the Point: Free Live Class For AMC 8 Read More

This Workshop seeks to shed light on the various applications of the Power of the Point with the help of beautiful problems.

How Siva S got into Purdue University for Ph.D. in Mathematics Read More

How Siva S, a student from Cheenta got into Purdue University to pursue Ph.D. in Mathematics? Learn from Siva's Success Story.

PRMO 2016 Problem No 4 | Combination Problem Read More

Try this beautiful Combination Problem based on Non-negative integer solutions from PRMO 2016 Problem 4. You may use sequential hints to solve it.

PRMO 2016 Problem No 5 | Set Theory Problem Read More

Try this beautiful Set theory Problem based on Set theory from PRMO 2016. You may use sequential hints to solve it.

Geometry: Free Live Class For ISI-CMI Read More

This Workshop seeks to shed light on the various applications of the ISI-CMI Geometry concepts with the help of beautiful problems.

NSEP 2015 Problem 12 | Periodic Motion due to Electrostatic Force Read More

Try this problem on periodic oscillation due to charge from NSEP 2015 Problem 12. You may use sequential hints to solve it.

Number Theory: Free Live Class For AMC 8 Read More

This Workshop seeks to shed light on the various applications of the Number Theory concepts with the help of beautiful problems.

Math Kangaroo Ecolier 2010 Problem 16 | Mathematical Imagination Read More

Try this beautiful Problem based on Mathematical Imagination from Math Kangaroo (Ecolier) 2010 Problem 16. You may use sequential hints to solve it.

IOQM 2022 Live Revision Sessions by Shuborno Das Read More

Cheenta is delivering 2 live revision workshops on IOQM 2022. These sessions will be conducted by Shuborno Das, a Cheenta alumnus from Oxford University. You are invited to join the live session.

AMC 8 2019 Problem 3 | Ordering Problem Read More

Try this beautiful Problem based on Ordering of fraction from AMC 8 2019 Problem 3. You may use sequential hints to solve it.

AMC 8 2019 Problem 1 | Number Counting Problem Read More

Try this beautiful Problem based on Number Counting from AMC 8 2019 Problem 1. You may use sequential hints to solve it.

Bose Maths Olympiad Research Project Training 2022 Read More

Dr. Ashani Dasgupta is conducting a Training Session so as to guide the participats of the Bose Maths Olympiad Research Project Round.

Cross Ratio - an accidental discovery Read More

If we know nothing about this world, we should know about cross ratio. It is one of those accidents of nature that is so unbelievable, unimaginable, that we need mathematics to accept it.

PRMO 2016 Problem 2 | Number Theory Read More

Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2. You may use sequential hints to solve it.

NSEP 2015 Problem 9 | Pulley problem Read More

Try this problem on pulley problem on inclined plane from NSEP 2015 Problem 9. You may use sequential hints to solve it.

Calendar Problem | PRMO 2016 Problem No: 3 Read More

Try this beautiful Problem on Calendar from Pre-Regional Mathematics Olympiad, PRMO-2016. You may use sequential hints to solve it.

NSEP 2015 Problem 8 | One Dimensional Motion Read More

Try this problem on one dimensional motion from NSEP 2015 Problem 8. You may use sequential hints to solve it.

How Sudev Satheesh got into IISER TVM after clearing JAM Read More

How to Prepare for IISER and IIT JAM Mathematics Entrance Exams? Learn from Sudev Satheesh's Success Story.

AMC 8 2020 Problem 22 | Number Game Problem Read More

Try this beautiful Problem based on Number game from AMC 8 2020 Problem 22. You may use sequential hints to solve it.

How Sayantani Ghosh cracked RKMVERI M.Sc Math Entrance Read More

How to Prepare for RKMVERI entrance exam for M.Sc. in Mathematics? Learn from Sayantani Ghosh's Success Story.

Math Kangaroo Ecolier 2017 Problem 22 | Counting Principle Read More

Try this beautiful Problem based on Counting Principle from Math Kangaroo (Ecolier) 2017 Problem 22. You may use sequential hints to solve it.

How Aniruddha Bhattacharjee cracked M.Sc-Ph.D. Math Entrances Read More

How to Prepare for multiple M.Sc-Ph.D. Mathematics Entrances in 2022? Learn from Aniruddha Bhattacharjee's Success Story.

Funtional Equations: Free Live Class For INMO Read More

This Workshop seeks to shed light on the various applications of Functional Equations concepts with the help of beautiful problems for INMO.

How to Apply Abroad for Math Grad by Dr. Ashani Dasgupta Read More

Dr. Ashani Dasgupta is delivering a live talk on "How to Apply Abroad for Math Grad". You are invited to join the live session.

Sharygin Geometrical Olympiad 2022 Problems & Solutions Read More

In 2022, Cheenta is hosted the final round of Sharygin Geometrical Olympiad in Kolkata center. Check out the Problems and Solutions here.

NSEP 2015 Problem 7 | Simple Harmonic Motion Read More

Try this problem on simple harmonic motion from NSEP 2015 Problem 7. You may use sequential hints to solve it.

INMO & Sharygin Olympiad Geometry by Shuborno Das Read More

Shuborno Das, a Cheenta alumnus from University of Oxford is delivering a live workshop on Olympiad Geometry. You are invited to join the session.

AMC 8 2020 Problem 7 | Counting Problem Read More

Try this beautiful Problem based on Counting from AMC 8 2020 Problem 7. You may use sequential hints to solve it.

NSEP 2015 Problem 6 | Surface Tension and Pressure Read More

Try this problem on bubbles and their radius from NSEP 2015 Problem 6. You may use sequential hints to solve it.

Combinatorics: Free Live Class For IOQM, AMC 10 & 12 Read More

This Workshop is the 1st session of the IOQM & AMC 10 & 12 Starter Program at Cheenta and it seeks to shed light on the various applications of the Combinatorics with the help of beautiful problems.

AMC 8 2020 Problem 16 | Line Problem Read More

Try this beautiful Problem based on lines from AMC 8 2020 Problem 16. You may use sequential hints to solve it.

Meet Mrinalini & Sharanyaa - Young Math Enthusiasts Read More

Being in grade 4, Mrinalini and Sharanyaa, have developed keen interest in Mathematics, such that they work with the students of Grade 4 and 5 from SSN, Sundarbans.

Number Theory: Free Live Class for ISI-CMI Read More

This Workshop seeks to shed light on the various applications of the Number Theory with the help of beautiful problems.

AMC 8 2020 Problem 18 | Area Problem Read More

Try this beautiful Problem based on area from AMC 8 2020 Problem 18. You may use sequential hints to solve it.

Sharygin Geometrical Olympiad Read More

In 2022, Cheenta is hosting the final round of Sharygin Geometrical Olympiad in Kolkata center for Indian participants. This is in collaboration with the Organizing committee from MOSCOW CENTER FOR LIFELONG MATHEMATICAL EDUCATION. This is an international competition on geometry. High-school students of four elder grades (8-11 grades in Russia) are eligible to participate. There […]

How Avishek Hazra cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Avishek Hazra who got into the CMI Entrance 2022.

An Introduction to Modular Forms: Research Seminar Read More

The objective of this Research seminar is to venture out a very minimal portion of the whole theory of modular forms.

Math Kangaroo (Benjamin) 2016 Problem 24 | Play With Numbers Read More

Try this Problem based on Playing With Numbers from Math Kangaroo (Benjamin) 2016 Problem 24. You may use sequential hints to solve it.

How John Tom cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from John Tom who got into the CMI Entrance 2022.

Math Kangaroo (Benjamin) 2016 | Problem 20 | Algebra Read More

Try this beautiful problem based on Algebra from Math Kangaroo (Benjamin) 2016 Problem 20. Use sequential hints to try the problem.

How Dwitimaya Sahoo cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Dwitimaya Sahoo who got into the CMI Entrance 2022.

Geometry: Free Live Class For AMC 8 Read More

This Workshop seeks to shed light on the various applications of the Geometry concepts with the help of beautiful problems.

How Mayur N Sastry cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Mayur N Sastry who got into the CMI Entrance 2022.

How Vemparala Bhuvan cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Vemparala Bhuvan who got into the CMI Entrance 2022.

How Ryan Hota cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Ryan Hota who got into the CMI Entrance 2022.

Number Theory: Free Live Class For INMO Read More

This Workshop is the 1st session of the INMO Starter Program at Cheenta and it seeks to shed light on the various applications of the Inequalities with the help of beautiful problems.

NSEP 2015 Problem 5 | Rotational Mechanics & Small Oscillation Read More

Try this problem on small oscillation and rotational mechanics from NSEP 2015 Problem 5. You may use sequential hints to solve it.

How Shravani Parulekar cracked CMI Entrance 2022? Read More

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Shravani Parulekar who got into the CMI Entrance 2022.

PRMO 2017 Problem 30 | Similarity Problem Read More

Try this Similarity Problem from Pre-Regional Mathematics Olympiad, PRMO 2017 Problem 30. You may use sequential hints to solve it.

PRMO 2016 Problem 1 | Number Theory Problem Read More

Try this Problem on Number Theory from Pre-Regional Mathematics Olympiad, PRMO 2016 Problem 1. You may use sequential hints to solve it.

Inequalities: Free Live Class For IOQM, AMC 10 & 12 Read More

This Workshop is the 1st session of the IOQM & AMC 10 & 12 Starter Program at Cheenta and it seeks to shed light on the various applications of the Inequalities with the help of beautiful problems.

Roots of Polynomials: Free Live Class - ISI-CMI Starter Program Read More

This Workshop is the 1st session of the ISI-CMI Starter Program at Cheenta and it seeks to shed light on the various applications of the Roots of Polynomials with the help of beautiful problems.

AMC 8 2020 Problem 13 | Probability Problem Read More

Try this beautiful Problem based on probability from AMC 8 2020 Problem 13. You may use sequential hints to solve it.

AMC 8 2020 Problem 4 | Dot Pattern Problem Read More

Try this beautiful Problem based on dot pattern from AMC 8 2020 Problem 4. You may use sequential hints to solve it.

Data Science and its Less Cooler Brother - Data Engineering Read More

This seminar by Swarnabja Bhowmik seeks to shed light on Data Science & Data Engineering, the concepts, the tools, their borders as well as transcendence.

AMC 8 2020 Problem 5 | Percentage Problem Read More

Try this beautiful Problem based on percentage from AMC 8 2020 Problem 5. You may use sequential hints to solve it.

AMC 8 2020 Problem 3 | Area of a Rectangle Problem Read More

Try this beautiful Problem based on calculation of area from AMC 8 2020 Problem 3. You may use sequential hints to solve it.

AMC 10A 2002 Problem 15 | Prime Number Read More

Try this beautiful Problem based on Number theory from AMC 10A, 2002 Problem 15. You may use sequential hints to solve it.

Math Kangaroo 2021 Problem 17 | Kadett Read More

Try this Problem based on simple Arithmetic appeared in Math Kangaroo (Kadett) 2021 Problem 17. You may use sequential hints to solve it.

AMC 10A 2020 Problem 6 | Divisibility Problem Read More

Try this beautiful Problem based on Divisibility Problem from AMC 2020 Problem 6. You may use sequential hints to solve it.

Math Kangaroo 2021 Problem 21 | Ecolier Read More

Try this Problem based on Divisibility Rules appeared in Math Kangaroo (Ecolier) 2021 Problem 21. You may use sequential hints to solve it.

NSEP 2015 Problem 4 | Rotational Motion Read More

Try this problem on freely falling body and 1D motion from NSEP 2015 Problem 4. You may use sequential hints to solve it.

ISI 2018 Subjective Problem 8 , A Problem from Matrix Read More

Try this beautiful Subjective Matrix Problem appeared in ISI Entrance - 2018. You may use sequential hints to solve it.

ISI 2015 Subjective Problem 8 | A Problem from Sequence Read More

Try this beautiful Subjective Sequence Problem appeared in ISI Entrance - 2015 problem 8. You may use sequential hints to solve it.

ISI 2019 Subjective Problem 2 | Removable Discontinuity Read More

Try this beautiful Subjective Calculus Problem appeared in ISI Entrance 2019 Problem 2. You may use sequential hints to solve it.

Math Kangaroo (Benjamin) 2014 Problem No 24 Read More

Try this beautiful Problem based on Algebra appeared in Math Kangaroo (Benjamin) 2014 Problem 24. You may use sequential hints to solve it.

AMC 10A 2021 Problem 9 | Factorizing Problem Read More

Try this beautiful Problem based on Factorizing Problem from AMC 2021 Problem 9. You may use sequential hints to solve it.

Math Kangaroo Benjamin 2014 Problem 11 | Arithmetic Read More

Try this beautiful Problem based on Simple Arithmetic from Math Kangaroo Benjamin 2014 Problem 11.You may use sequential hints to solve it.

AMC 10A 2021 Problem 22 | System of Equations Read More

Try this beautiful Problem based on System of Equations from AMC 10A, 2021 Problem 22.You may use sequential hints to solve it.

IOQM 2022 Part B Problem 3 I Binary Tree & Recursion Read More

Try this beautiful Recursion Problem based on Binary Tree appeared in IOQM 2022 Part B, Problem 3. You may use sequential hints to solve it.

AMC 8 2020 Problem 21 | Counting Principle Read More

Try this beautiful Problem based on Counting Principle from AMC 8, 2020 Problem 21. You may use sequential hints to solve it.

AMC 8 2020 Problem 1 | Ratio Problem Read More

Try this beautiful Problem based on ratio from AMC 2020 Problem 1. You may use sequential hints to solve it.

ISI 2018 Objective Problem 8 | A Problem from Sequence Read More

Try this beautiful Objective Sequence Problem appeared in ISI Entrance 2018 Problem 8. You may use sequential hints to solve it.

CMI BSc Math Entrance 2022 - Question Paper and Solutions Read More

This collection of problems and solutions from CMI Entrance 2022 is a work in progress. If you remember the problems, let us know in the comment section. Part A (indicate if each statement is true or false) Problem A1 Let $a_0 , a_1, a_2…..$ be an arithmetic progression such that $a_0$ and $a_1$ are positive […]

AMC 8 2020 Problem 9 | Cube Problem Read More

Try this beautiful problem based on cube from AMC 8, 2020 Problem 9. You may use sequential hints to solve it.

ISI 2021 Objective Problem 23 I A Problem from Limit Read More

Try this beautiful Objective Limit Problem appeared in ISI Entrance - 2021. You may use sequential hints to solve it.

NSEP 2015 Problem 3 | Rotational Motion Read More

Try this problem on circular Motion and angular momentum from NSEP 2015. You may use sequential hints to solve it.

What are the Opportunities in College for Mathematics in India and Abroad Read More

On 28th May 2022, Dr. Ashani Dasgupta is going to guide the students about the Opportunities in College for Mathematics in India and abroad.

How to Prepare for ISI-CMI Entrances 2023 Read More

On 28th May 2022, Dr. Ashani Dasgupta is going to guide the students to prepare for ISI-CMI Entrances 2023 on the basis of his teaching experience since 2010.

AMC 10A 2021 I Problem 20 | Enumeration Read More

Try this beautiful Problem based on Enumeration from AMC 10A 2021, Problem 20. You may use sequential hints to solve it.

Math Kangaroo (Benjamin) 2021 Problem No 22 Read More

Try this beautiful Problem based on simple Arithmetic appeared in Math Kangaroo (Benjamin) - 2021 Problem 22. You may use sequential hints to solve it.

NSEP 2019 Problem 26 | Projectile Motion Read More

Try this beautiful 2D Motion Problem based on Projectile Motion from NSEP 2019, Problem 26. You may use sequential hints to solve it.

NSEP 2015 Problem 2 | Rotational Motion Read More

Try this problem on Rotational Motion from National Standard Examination in Physics, NSEP 2015. You may use sequential hints to solve it.

Math Kangaroo (Benjamin) 2020 Problem 26 | Divisibility Rule Read More

Try this beautiful Problem based on Divisibility Rule from Math Kangaroo (Benjamin) 2020. You may use sequential hints to solve it.

AMC 10A 2021 Problem 14 | Vieta's Formula Read More

Try this beautiful Problem based on Vieta's Formula from AMC 10A, 2021 Problem 14. You may use sequential hints to solve it.

ISI 2021 Subjective Problem 5 I A Problem from Polynomials Read More

Try this beautiful Subjective Problem 5 from Polynomials appeared in ISI Entrance - 2021. You may use sequential hints to solve it.

IOQM 2022 Problem 9 | Part: A | Recurrence and Algebra Read More

Try this beautiful Recurrence Problem based on Chessboard from IOQM 2022, Part A, Problem 9. You may use sequential hints to solve it.

IOQM 2022 Problem 2 | Part: B | Combinatorics Problem Read More

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

How to prepare for Olympiads and other contests in Middle School? Read More

Tools for middle school children and their parents. How to help kids fall in love with mathematical science and prepare them for math and sciecnce olympiads, ISI, CMI Entrances and other contests in the long run?

ISI B.Stat and B.Math Entrance - How to prepare, curriculum, paper pattern and topicwise weightage Read More

The BStat and BMath Entrance of ISI Entrance is ‘different’ from IIT JEE or other engineering entrances. It tests creativity and ingenuity of the problem solver that requires more than mechanical application of formulae. Many of these problems are inspired from erstwhile Soviet Union math contests and other math olympiads. The entrance has two sections: […]

European Girls Math Olympiad and Cheenta Read More

Three out four Indian awardees in the prestigious European Girls Math Olympiad have Cheenta connections. Here is the success story.

Hermite Identity in Math Olympiad, ISI CMI Entrance Read More

Learn about Hermite Identity for Math Olympiad, ISI CMI Entrances. It involves a beautiful application of periodicity of functions.

NMTC Combinatorics Problems and Solutions Read More

NMTC 2010 Primary Stage 1 Question 1 $\mathrm{n}, \mathrm{a}$ are natural numbers each greater than 1 . If $a+a+a+a+\ldots+a=2010$, and there are $n$ terms on the left hand side, then the number of ordered pairs $(a, n)$ is NMTC 2019 Primary Stage 1 Question 10 Sum of the odd numbers from 1 to 2019 both […]

NMTC Algebra Problems and Solutions Read More

NMTC 2019 Stage 1 Sub junior Question 10 How many positive integers smaller than 400 can you get as a sum of eleven consecutive positive integers? NMTC 2019 Stage 1 Sub junior Question 11 Let $x, y$ and $z$ be positive real numbers and let $x \geq y \geq z$ so that $x+y+z=20.1$. Which of […]

Toward Harvard and MIT with Cheenta students Read More

We meet in an informal discussion session with Cheenta students Aryan Kalia (Harvard University) and Anushka Aggarwal (MIT). A few selected students will join over Google Meet for a direct interaction. We will also take in questions from Youtube and Facebook Chat. Aryan Kalia had outstanding scores in American Math Competition. He also did a […]

Junior Data Science Olympiad: Resources Read More

Junior Data Science Olympiad is suitable for students of grade 9 and above, interested in Data Science. Check out the resources for the Junior Data Science Olympiad in this post. Curriculum Algebra Trigonometry Coordinate Geometry Combinatorics Data Visualization Algebra AM, GM, and Cauchy Schwarz Inequality Rational Root Theorem, Remainder Theorem Roots of a polynomial Trigonometry […]

Mahalanobis Olympiad: Resources Read More

Mahalanobis Olympiad is suitable for College and University Students, interested in Statistics and Mathematics. Check out the resources for the Mahalanobis Olympiad in this post. Curriculum High School Mathematics Calculus and Linear Algebra Probability Statistics High School Mathematics Coordinate Geometry Trigonometry Complex Numbers Permutation and Combinatorics Calculus and Linear Algebra Pre Calculus One Variable Calculus […]

Bose Advanced Math Olympiad: Resources Read More

Bose Advanced Math Olympiad is suitable for College Students. Curriculum Linear Algebra Abstract Algebra Real Analysis Miscellaneous Linear Algebra Vector Space, basis and Dimension. Linear Transformation, rank-nullity. Matrix Algebra. Eigenvalues, Eigenvectors, Characteristic and Minimal polynomials. Diagonalizability. Inner Product space basic properties. Abstract Algebra Groups, Subgroups, Normal and Quotient groups. Homomorphisms, isomorphisms and automorphisms. Permutation group […]

NMTC Number Theory Problems and Solutions Read More

NMTC 2010 Primary Stage 1 Question 1 $\mathrm{n}, \mathrm{a}$ are natural numbers each greater than 1 . If $a+a+a+a+\ldots+a=2010$, and there are $n$ terms on the left hand side, then the number of ordered pairs $(a, n)$ is NMTC 2019 Inter Stage 1 Question 17 The number of times the digit occurs in the result […]

NMTC Geometry Problems and Solutions Read More

NMTC 2019 Stage 1 Inter Question 5 The area of the curve enclosed by $|x-2 \sqrt{2}|+|y-\sqrt{5}|=2$ is : (A) 16(B) 12(C) 8(D) 4 NMTC 2019 Inter Stage 1 Question 11 In a rectangle $A B C D$, point $E$ lies on $B C$ such that $\frac{B E}{E C}=2$ and point $F$ lies on $C D$ […]

What are opportunities after Math Olympiad? Read More

Watch the video to learn more about opportunities after Mathematical Olympiads in India, the United States and other countries.

CMI Data Science Entrance Books [Pdf] and Free Resources Read More

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

A beautiful book from Eastern Europe for Math Olympiads, ISI CMI Entrance and joy of doing math Read More

Explore this beautiful book on problems useful for Math Olympiad, ISI CMI Entrance. It is written by three Russian authors. Title: Selected Problems and Theorems in Elementary Mathematics – Shklyarsky, Chentsov, Yaglom

Installing Julia in Ubuntu Read More

Author: Kazi Abu Rousan C is hard but fast But you need to be on guard to last. Python is easy but slow But you can use it to glow. But if you have julia Beautiful rhythms will flow. ---Me Julia is a high-level, high-performance, dynamic programming language. Most of you guys have heard or […]

About a roadmap to top 300 global universities Read More

Dear student, In the past few years several Cheenta students reached the top 300 universities in the world. These universities include Oxford, UCLA, NUS, MIT and University of Edinburgh. We have gradually shaped a success pathway for students that works in the long run. This pathway can be useful for you as well.There two components of this success path: Component 1: Performance […]

Lattice points on a circle - No. of solution of x^2+y^2 = N Read More

Author: Kazi Abu Rousan There are some problems in number theory which are very important not only because they came in exams but also they hide much richer intuition inside them. Today, we will be seeing one of such problems. Sources: B.Stat. (Hons.) and B.Math. (Hons.) I.S.I Admission Test 2012 problem-2. B.Stat. (Hons.) and B.Math. […]

Calculating Value of Zeta function using Julia - Part1 Read More

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 […]

Infinite Series- ISI B.MATH 2006 | Problem - 1 Read More

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}= […]

A Probability Birthday problem along with Julia Programming Read More

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 […]

ISI B.Math objective 2006 problem -2 Number theory (Euler phi function) Read More

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 […]

Pi calculating from Mandelbrot Set using Julia Read More

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 $ […]

Partition Numbers and a code to generate one in Python Read More

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 […]

ISI B.STAT PAPPER 2018 |SUBJECTIVE Read More

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 […]

I.S.I B.STAT 2018 | SUBJECTIVE -4 Read More

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)] […]

TESTING THE CONCEPT OF COPRIME NUMBERS | CMI 2015 PART B PROBLEM-3 Read More

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 […]

Best algorithm to calculate Pi - Part1 Read More

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 […]

Monte Carlo Method to calculate Pi Read More

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, […]

A code to find Primes - Sieve of Eratoshenes Read More

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 […]

A simple convergence comparison between Leibniz's and mine pi formula Read More

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 […]

Your Personal Mandelbrot Set Read More

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 […]

AMC 8 2019 Problem 20 | Fundamental Theorem of Algebra Read More

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

Collatz Conjecture and a simple program Read More

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 […]

Easy Guide to Prepare for MathCounts Competition 2021 - 2022 Read More

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 […]

Walking with the Masters Read More

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.

What is AMC 12 | How to prepare for AMC 12, 2022 Read More

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 […]

How Cheenta students did so well in ISI - CMI Entrances Read More

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?

What is AMC 10 | How to prepare for AMC 10, 2022 ? Read More

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 […]

AMC 8 2019 Problem 16 | Algebra ProblemTry this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem.

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AMC 8 2019 Problem 17 | Value of ProductTry this beautiful problem from the Pre-RMO, 2019 based on Smallest Positive Integer. You may use sequential hints to solve the problem.

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IIT JAM Mathematics 2022: All you need to know to prepare for it Read More

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 […]

Kishore Vaigyanik Protsahan Yojana (KVPY) 2021 Read More

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 […]

Bernoulli Random Variable and Bernoulli Process Read More

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 […]

ISI M.MATH 2021 Subjective Question Paper with Solutions Read More

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 […]

Indus Inscriptions - Research Seminar at Cheenta Read More

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.

B.Math 2009 Objective Paper| Problems & Solutions Read More

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) […]

No-short-cut approach at Cheenta Read More

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

CMI 2019 Problem | Solving Complex Inequality using Geometry Read More

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

Gaussian Prime Spiral and Its beautiful Patterns Read More

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

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

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

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

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

CMI Entrance 2019 Problem from Transformation Geometry Read More

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

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

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

Rational Root Theorem Proof Explanation | Learn with Cheenta Read More

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

AMC 8 2018 Problem 24 | American Mathematics Competitions Read More

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

AMC 8 2020 Problem 18 | American Mathematics Competitions Read More

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

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

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

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

Aryabhata is considered the "Father of Mathematics" in India. He is the first ancient Mathematician- Astronomer, whose important work includes "Aryabhatiya" and "Arya-Siddhanta". Today, let's learn 3 lessons from Aryabhata - the 𝗙𝗮𝘁𝗵𝗲𝗿 𝗼𝗳 𝗠𝗮𝘁𝗵𝗲m𝗮𝘁𝗶𝗰𝘀. 𝟭. 𝗛𝗮𝘃𝗲 𝗖𝗼𝘂𝗿𝗮𝗴𝗲 𝘁𝗼 𝗤𝘂𝗲𝘀𝘁𝗶𝗼𝗻 When eclipses were seen as something to be feared, and the concepts of "Rahu" and […]

ISI Entrance TOMOTO Subjective 89 - Complex Numbers Read More

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

Probability Distributions - A Different Perspective Read More

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RMO 1994 Problems And Solutions Read More

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

ISI MStat 2020 PSB Problem 8 Solution Read More

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

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

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

How Aaditya Punatar Achieved Gold in NMTC & SASMO Read More

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

IIT JAM MS 2020 Section A Problem 1 Solution Read More

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

How to prepare for CMI Data Science Examination? Read More

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

ISI MStat Past Year Question & Sample Papers - Download Pdfs Read More

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 […]

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

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

ISI MStat PSA Answer Keys and Solutions Read More

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

Thousand Flowers - a ‘new’ approach to learn mathematics (for children) Read More

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

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

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

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

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

Cheenta Advanced Math Program - 8 week subscription Read More

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

When Maximum Likelihood = Method of Moments? Read More

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

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

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

AMC 8 Algebra Questions - Year wise Read More

Try these AMC 8 Algebra Questions and check your knowledge! AMC 8,2020 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 […]

Prepare for Math Kangaroo Competition with Cheenta ✌ Read More

Math Kangaroo Competition is an International Mathematical Competition for kids of graded 1 to 12. It is also known as : "International Mathematical Kangaroo" or "Kangourou sans 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 […]

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

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

ISI MStat 2020 PSB Problem 6 Problem & Solution Read More

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

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

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

INMO 2021 Problem 5 - Solution and Discussion Read More

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

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

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

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IIT JAM Statistics Mock Test | Cheenta Statistics Department Read More

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

What is Stirling Number of First Kind Read More

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

INMO 2021 Question No. 1 Solution Read More

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 $r =2$. […]

INMO 2021 - Problems, Solutions and Discussion Read More

This is a work in progress. Please come back soon for more updates. We are adding problems, solutions and discussions on INMO (Indian National Math Olympiad 2021) INMO 2021, Problem 1 Suppose $r \geq 2$ is an integer, and let $m_{1}, n_{1}, m_{2}, n_{2}, \cdots, m_{r}, n_{r}$ be $2 r$ integers such that $$|m_{i} n_{j}-m_{j} […]

Diameter of Incircle Lemma and Dilation of Incircle Read More

Suppose we have a triangle $ABC$. Let us extend the sides $BA$ and $BC$. We will draw the incircle of this triangle. How to draw the incircle? Here is the construction. Draw any two angle bisectors, say of angle $A$ and angle $B$ Mark the intersection point $I$. Drop a perpendicular line from I to […]

How to Attend IIT JAM Statistics Exam - [A Data Analysis] Read More

This year Cheenta Statistics Department has done a survey on the scores in each of the sections along with the total score in IIT JAM MS. Here is the secret for you! We have normalized the score to understand in terms of percentage. There are three questions, we ask The general performance for the IIT […]

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

Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2008. Problem 1 : Let $a, b$ and $c$ be fixed positive real numbers. Let $u_{n}=\frac{n^{2} a}{b+n^{2} c}$ for $n \geq 1$. Then as $n$ increases, (A) $u_{n}$ increases;(B) $u_{n}$ decreases;(C) $u_{n}$ increases first and then decreases;(D) none of the above […]

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

Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up $7$ steps if we take one or two steps at a time is (A) $19$ ;(B) $20$;(C) $21$ ;(D) $22$ . Problem 2 : Consider the surface defined by $x^{2}+2 […]

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

Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $a \geq 0$ be a constant such that $\sin (\sqrt{x+a})=\sin (\sqrt{x})$ for all $x \geq 0 .$ What can […]

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

Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the $13$ th day of some month occurs on a Friday. Problem 2: In the accompanying […]

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

Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x, y, z$ be non-zero real numbers. Suppose $\alpha, \beta, \gamma$ are complex numbers such that $|\alpha|=|\beta|=|\gamma|=1 .$ If $x+y+z=0=\alpha […]

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

Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function. Suppose $$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$ for all $x \in \mathbb{R}$ and […]

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

This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set C. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set C) Problem 1 […]

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

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

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

This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set A. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set A) Problem 1 […]

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

This post discusses the solutions to the problems from IIT JAM Mathematical Statistics (MS) 2021 Question Paper - Set B. You can find solutions in video or written form. Note: This post is getting updated. Stay tuned for solutions, videos, and more. IIT JAM Mathematical Statistics (MS) 2021 Problems & Solutions (Set B) Problem 1 […]

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

Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inqualities $a-b^{2} \geq \frac{1}{4}$, $b-c^{2} \geq \frac{1}{4}$, $c-d^{2} \geq \frac{1}{4}$, $d-a^{2} \geq \frac{1}{4}$ has(A) no solutions(B) exactly one solution(C) […]

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

Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $i=\sqrt{-1}$ and $S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} .$ The number of distinct real numbers in the set $S$ is (A) 1(B) 2(C) […]

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

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

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

Try a beautiful problem from complex numbers and geometry. It is from I.S.I. Entrance. We have created sequential hints to make this mathematical journey enjoyable!

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

This is a Test of Mathematics Solution Subjective 188 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Consider the squares of an $ 8 X 8 $ chessboard filled with the […]

Test of Mathematics Solution Subjective 181 - Diagonal Moves Read More

This is a Test of Mathematics Solution Subjective 181 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that one moves along […]

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

This is a Test of Mathematics Solution Subjective 177 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem There are 1000 doors $ […]

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

This is a Test of Mathematics Solution Subjective 176 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that P(x) is a […]

Test of Mathematics Solution Subjective 175 - Integer Roots Read More

This is a Test of Mathematics Solution Subjective 175 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let \(\text{P(x)}=x^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\dots+a_{1}x+a_{0}\) be a polynomial […]

Test of Mathematics Solution Subjective 170 - Infinite Circles Read More

This is a Test of Mathematics Solution Subjective 170 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let \({C_n}\) be an infinite […]

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

This is a Test of Mathematics Solution Subjective 166 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem A cow is grazing with […]

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

This is a Test of Mathematics Solution Subjective 157 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate $ \mathbf {\displaystyle \lim_{n […]

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

This is a Test of Mathematics Solution Subjective 155 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Evaluate: $ \lim_{n\to\infty} (\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+...+\frac{1}{n+n})$ […]

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

This is a Test of Mathematics Solution Subjective 150 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the maximum among $ […]

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

This is a Test of Mathematics Solution Subjective 144 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose $ f(x)$ is […]

Test of Mathematics Solution Subjective 127 -Graphing relations Read More

This is a Test of Mathematics Solution Subjective 127 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find all (x, y) such that sin x + sin y = sin (x+y) […]

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

This is a Test of Mathematics Solution Subjective 126 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch, on plain paper, the regions represented, on the plane by the following: (i) […]

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

This is a Test of Mathematics Solution Subjective 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) = […]

Test of Mathematics Solution Subjective 124 - Graph sketching Read More

This is a Test of Mathematics Solution Subjective 124 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Sketch on plain paper, the graph of $ y = \frac {x^2 + 1} […]

Graphing integer value function | Tomato Subjective 117 Read More

This is a subjective problem from TOMATO based on Graphing integer value function. Problem: Graphing integer value function Let [x] denote the largest integer (positive, negative or zero) less than or equal to x. Let $y= f(x) = [x] + \sqrt{x - [x]} ,s=2 $ be defined for all real numbers x. (i) Sketch on […]

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

This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If A, B, C are the angles of a triangle, then show that $ […]

Test of Mathematics Solution Subjective 115 - Trigonometric Relation Read More

This is a Test of Mathematics Solution Subjective 115 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If $\displaystyle { \frac{\sin^4 x }{a} + \frac{\cos^4 x }{b} = \frac{1}{a+b} }$ , […]

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

This is a Test of Mathematics Solution Subjective 113 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem: Find the vertices of the two right angles triangles, each having area 18 and […]

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

This is a Test of Mathematics Solution Subjective 110 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Let ABCD be a […]

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

This is a Test of Mathematics Solution Subjective 107 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: If a, b and c […]

Test of Mathematics Solution Subjective 90 - Graphing Inequality Read More

This is a Test of Mathematics Solution Subjective 90 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: : Draw the region of […]

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

This is a Test of Mathematics Solution Subjective 88 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: A pair of complex numbers […]

Test of Mathematics Solution Subjective 84 - Comparing Equations Read More

This is a Test of Mathematics Solution Subjective 84 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that there is exactly one value of \(x\) that satisfies the equation: \(2 […]

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

This is a Test of Mathematics Solution Subjective 83 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem If a and b are positive real numbers such that a + b = […]

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

This is a Test of Mathematics Solution Subjective 82 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let a, b, c, d […]

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

This is a Test of Mathematics Solution Subjective 81 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find all possible real numbers […]

Test of Mathematics Solution Subjective 79 -Trigonometric Inequality Read More

This is a Test of Mathematics Solution Subjective 79 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Let $ {{\theta}_1}$, $ {{\theta}_2}$, […]

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

This is a Test of Mathematics Solution Subjective 78 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For real numbers $ {x}$, […]

Test of Mathematics Solution Subjective 77 Read More

This is a Test of Mathematics Solution Subjective 77 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem For $ {x > 0}$, show that $ {\displaystyle{\frac{x^n - 1}{x - 1}}{\ge}{n{x^{\frac{n - […]

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

This is a Test of Mathematics Solution Subjective 76 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Find the set of all values of $ {m}$ such that $ {\displaystyle {y} […]

Test of Mathematics Solution Subjective 75 Read More

This is a Test of Mathematics Solution Subjective 75 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that there is at […]

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

This is a Test of Mathematics Solution Subjective 74 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem The sum of squares of […]

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

This is a Test of Mathematics Solution Subjective 73 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the equation $ {x^3 […]

Test of Mathematics Solution Subjective 72 - Polynomial Problem Read More

This is a Test of Mathematics Solution Subjective 72 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If $ {\displaystyle{\alpha}, {\beta}, {\gamma}} […]

Test of Mathematics Solution Subjective 71 - Real solutions Read More

This is a Test of Mathematics Solution Subjective 71 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the following simultaneous equations […]

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

This is a Test of Mathematics Solution Subjective 58 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem In a certain game, 30 […]

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

This is a Test of Mathematics Solution Subjective 57 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem How many 6-letter words can […]

Test of Mathematics Solution Subjective 70 - Equal Roots Read More

This is a Test of Mathematics Solution Subjective 70 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that all roots of […]

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

This is a Test of Mathematics Solution Subjective 69 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Suppose that the three equations […]

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

This is a Test of Mathematics Solution Subjective 67 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Describe the set of all […]

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

This is a Test of Mathematics Solution Subjective 66 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If c is a real […]

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

This is a Test of Mathematics Solution Subjective 65 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Problem Show that for all real x, the expression $ {ax^2} $ + bx + […]

Test of Mathematics Solution Subjective 64 -Functional Equation Read More

This is a Test of Mathematics Solution Subjective 64 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East-West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If f(x) is a real-valued function […]

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

This is a Test of Mathematics Solution Subjective 63 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem If any one pair among […]

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

This is a Test of Mathematics Solution Subjective 62 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the system of equations […]

Test of Mathematics Solution Subjective 61 - Symmetric Polynomial Read More

This is a Test of Mathematics Solution Subjective 61 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Solve $ {{6x}^{2}} $ - […]

Test of Mathematics Solution Subjective 60 - Equivalence Class Read More

This is a Test of Mathematics Solution Subjective 60 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set S of […]

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

This is a Test of Mathematics Solution Subjective 59 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Consider the set of point […]

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

This is a Test of Mathematics Solution Subjective 55 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem For a finite set A, […]

Test of Mathematics Solution Subjective 50 -Dictionary Ranking Read More

This is a Test of Mathematics Solution Subjective 50 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem All the permutation of the […]

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

This is a Test of Mathematics Solution Subjective 49 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem: \(x\) red balls, \(y\) black balls,\(z\) […]

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

This is a Test of Mathematics Solution Subjective 48 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Find the different number of […]

Test of Mathematics Solution Subjective 43-Integer Root Read More

This is a Test of Mathematics Solution Subjective 43 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the equation $ […]

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

Test of Mathematics Solution Subjective 38 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that if a prime number p is divided […]

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

Test of Mathematics Solution Subjective 37 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Supposed p is a prime Number such that (p-1)/4 […]

Test of Mathematics Solution Subjective 36 - Invariance Principle Read More

Test of Mathematics Solution Subjective 36 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let $ a_1 , a_2 , ... , a_n […]

Test of Mathematics Solution Subjective 33 - Symmetrical Minima Read More

Test of Mathematics Solution Subjective 33 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Let \(k\) be a fixed odd positive integer. Find […]

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

Test of Mathematics Solution Subjective 32 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem Show that the number 11...1 with $ 3^n $ […]

Test of Mathematics Solution Subjective 17 - Odd Coefficients Read More

This is a Test of Mathematics Solution (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also see: Cheenta I.S.I. & C.M.I. Entrance Course Problem If the coefficients of a quadratic equation […]

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

This is a Test of Mathematics Solution Subjective 56 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta Problem Show that the number of […]

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

This is a Test of Mathematics Solution of Subjective 42 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance. Also Visit: I.S.I & CMI Entrance Course of Cheenta Problem Let f(x) be a […]

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

Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Group A Problem 1: The limit $$\lim _{x \rightarrow 0} \frac{1-\cos \left(\sin ^{2} \alpha x\right)}{x}$$ (A) equals $1$;(B) equals $\alpha$;(C) equals $0$ ;(D) does […]

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

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

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

Here, you will find all the questions of ISI Entrance Paper 2015 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $\mathbb{C}$ denote the set of complex numbers and $S=\{z \in \mathbb{C} \mid \bar{z}=z^{2}\},$ where $\bar{z}$ denotes the complex conjugate of $z […]

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

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

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

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

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

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

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

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

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

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

Indian National Math Olympiad, INMO 2015 Problems Read More

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

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

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

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

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

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

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

PRMO 2014 Problems & Solutions | Previous Year Paper Read More

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

IOQM 2021 Problems & Solutions Read 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 area of the geometrical figure $\Gamma$).Answer: 8 Solution: IOQM 2021 - Problem […]

IIT JAM Stat Mock Test Toppers Read More

IIT JAM Stat Mock Test Toppers We are really happy with the performance of our students and thus, we have initiated to name the Toppers of IIT JAM Stat Mock Test. These toppers are named in this leader board according to their performance in IIT JAM Stat Mock Tests. So, here goes the list: These […]

Pigeonhole Principle Read More

“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 + […]

Mathematics Summer Camps in India One Should Explore Read More

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

National Mathematics Talent Contest (NMTC) 2022 Read More

National Mathematics Talent Contest or NMTC is a national-level math contest held by the Association of Mathematics Teachers of India (AMTI).

Bose Olympiad Senior Level: Resources Read More

Bose Olympiad Senior is suitable for kids in Grade 8 and above. 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 Functions Theorems of Fermat, Euler, and Wilson Pythagorean TriplesChinese […]

Bose Olympiad Intermediate - Resources Read More

Bose Olympiad Intermediate is suitable for kids in Grade 5, 6, and 7. Curriculum Elementary Number Theory Counting Principles Algebra Geometry Number Theory The following topics in number theory are useful for the Intermediate round: Primes and Composites Arithmetic of Remainders Divisibility Number Theoretic Functions Here is an example of a Number Theory problem that […]

Bose Olympiad Junior Level: Resources Read More

Bose Olympiad Junior is suitable for kids in Grade 1, 2, 3 and 4. 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 for Mains level. Here is an example of an […]

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

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

Mahalanobis National Statistics Competition Read More

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

Letter to parents: Talk about infinity Read More

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

Carpet Strategy in Geometry | Watch and Learn Read More

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

Bijection Principle Problem | ISI Entrance TOMATO Obj 22 Read More

Here is a video solution for a Problem based on Bijection Principle. This is an Objective question 22 from TOMATO for ISI Entrance. Watch and Learn! Here goes the 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 […]

Triangle Problem | PRMO-2018 | Problem No-24Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.

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

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

Solving Weird Equations using Inequality | TOMATO Problem 78 Read More

Here is a video solution for ISI Entrance Number Theory Problems based on solving weird equations using Inequality. Watch and Learn! Here goes the 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? […]

Even Parity and Odd Parity Read More

Parity in Mathematics is a term which we use to express if a given integer is even or odd. It basically depends on the remainder when we divide a number by 2. Parity can be divided into two categories - 1. Even Parity 2. Odd Parity Even Parity : If we divide any number by 2 […]

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

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

AM-GM Inequality Problem | ISI Entrance Read More

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

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

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Sum of 8 fourth powers | ISI Entrance Problem Read More

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

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

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

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

Polynomial Problem | PRMO-2018 | Question 30 Read More

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

Digits Problem | PRMO - 2018 | Question 19 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

IOQM 2022-2023 Dates | Exam Information | Application Read More

IOQM 2022-2023 Announcement by HBCSE Day and Date: Sunday, October 30, 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 exam will have 10 questions […]

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

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

ISI MStat PSB 2006 Problem 8 | Bernoullian Beauty Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ISI MStat PSB 2008 Problem 3 | Functional equation Read More

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

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

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

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

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

ISI MStat PSB 2009 Problem 1 | Nilpotent Matrices Read More

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

Bayes and The Billiard Table | Cheenta Probability Series Read More

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

How to Calculate Geometric Mean | Learn the Concept Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ISI MStat PSB 2006 Problem 5 | Binomial Distribution Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Judgements in a Fitful Realm | Cheenta Probability SeriesThis post discusses how judgements can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidences in decoding uncertainty leading towards Bayesian Thinking.

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

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

Nearest value | PRMO 2018 | Question 14 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ISI MStat PSB 2018 Problem 9 | Regression Analysis Read More

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

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

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

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

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

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

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

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

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

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

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

Cheenta Toppers of the Month - January Read More

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

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

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

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

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

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

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

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

This is another blog of the Cheenta Probability Series. Let's give a formal definition of statistical regularity to bring some seriousness into account. **10 min read** “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 […]

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

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

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

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

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

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

Smallest value | PRMO 2018 | Question 15 Read More

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

Digits of number | PRMO 2018 | Question 3 Read More

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

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

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

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

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

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

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

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

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

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

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

Positive Integer | PRMO-2017 | Question 1 Read More

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

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

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

ISI MStat Mock Test Leaderboard | Cheenta Statistics Read More

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

ISI MStat PSB 2010 Problem 10 | Uniform Modified Read More

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

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

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

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

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

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

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

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

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

Measuring Chances and Coincidences | Cheenta Probability Series Read More

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

Algebraic Equation | AIME I, 2000 Question 7 Read More

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

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

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

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

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

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

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

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

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

ISI MStat PSB 2012 Problem 10 | MVUE Revisited Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Distance travelled | PRMO II 2019 | Question 26 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Acute angled Triangle | PRMO II 2019 | Question 29 Read More

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

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

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Shortest Distance | PRMO II 2019 | Question 27Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.

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ISI MStat PSB 2013 Problem 4 | Linear Regression Read More

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

ISI MStat PSB 2011 Problem 1 | Linear Algebra Read More

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

Missing Integers | PRMO II 2019 | Question 1 Read More

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

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

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

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

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

ISI MStat PSB 2014 Problem 9 | Hypothesis Testing Read More

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

ISI MStat PSB 2008 Problem 10 | Hypothesis Testing Read More

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

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

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

Number of ways | PRMO 2017 | Question 9 Read More

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

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

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

ISI MStat PSB 2010 Problem 2 | Combinatorics Read More

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

Roots of Equation | PRMO 2017 | Question 19 Read More

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

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

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

Television Problem | AMC 10A, 2008 | Problem 14 Read More

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

Problem on Cube | AMC 10A, 2008 | Problem 21Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Numbers and Group | B.Stat Objective Problem Read More

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

Number Series | B.Stat Objective Problem Read More

Problem - Number Series ( B.Stat Objective Problem ) We are going to discuss about Number Series from B.Stat Objective Problem . A student studying the weather for d days observed that(i) it rained on 7 days morning or afternoon, (ii) when it rained in the afternoon it was clear in the morning, (iii) there […]

Sets and Probability | B.Stat Objective Problems Read More

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

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

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

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

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

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

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

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

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

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

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

Prime Number for ISI BStat | TOMATO Objective 70 Read More

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

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

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

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

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

ISI MStat 2019 PSA Problem 15 | Trigonometry Problem Read More

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

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

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

ISI MStat 2015 PSA Problem 17 | Basic Inequality Read More

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

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

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

ISI MStat 2015 PSA Problem 18 | Complex Number Read More

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

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

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

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

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

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

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

Derivative Problem | TOMATO BStat Objective 764 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ISI MStat 2018 PSA Problem 10 | Dirichlet Function Read More

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

ISI MStat 2018 PSA Problem 7 | Continuous Function Read More

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

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

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

Derivative of Function Problem | TOMATO BStat Objective 756 Read More

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

ISI MStat 2019 PSA Problem 22 | Basic Probability Read More

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

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

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

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

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

ISI MStat 2019 PSA Problem 11 | Multiplication Principle Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Ordered Pairs | PRMO-2019 | Problem 18 Read More

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

Maximum area | PRMO-2019 | Problem 23 Read More

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

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

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

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

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

Derivative of Function Problem | TOMATO BStat Objective 757 Read More

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

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

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

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

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

ISI MStat Entrance is not just an Examination. How to Prepare for it?From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam.

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

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

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

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

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

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

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

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

Derivative of Function Problem | TOMATO BStat Objective 759Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.

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Covex Cyclic Quadrilateral | PRMO 2019 | Question 23 Read More

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

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

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

Ordered triples | PRMO 2017 | Question 21 Read More

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

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

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

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

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

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

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

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

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

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

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

Logarithm Problem From SMO, 2011 | Problem 7 Read More

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

Derivative of Function | TOMATO BStat Objective 767Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Derivative of Function | TOMATO BStat Objective 763 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Natural Numbers Problem | PRMO 2019 | Question 30 Read More

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

Rearrangement Problem | PRMO 2019 | Question 27 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Problem on Function | TOMATO BStat Objective 720 Read More

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

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

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

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

Maximum and Minimum Element | TOMATO BStat Objective 715 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Greatest Integer | PRMO 2019 | Question 22 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Trigonometry Simplification | SMO, 2009 | Problem 26 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Rearrangement Problem | TOMATO B.Stat Objective 125 Read More

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

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

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

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

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

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

Altitudes of triangle | PRMO 2017 | Question 17 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Average and Integers | PRMO 2017 | Question 15 Read More

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Arbitrary Arrangement | TOMATO B.Stat Objective 119 Read More

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

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

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

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

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

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

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

Telescopic Continuity | ISI MStat 2015 PSB Problem 1 Read More

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

Invariant Regression Coefficient | ISI MStat 2019 PSB Problem 8 Read More

This is a problem from ISI MStat Examination,2019. This tests one's familiarity with the simple and multiple linear regression model and estimation of model parameters and is based on the Invariant Regression Coefficient.

Size, Power, and Condition | ISI MStat 2019 PSB Problem 9 Read More

This is a problem from the ISI MStat Entrance Examination, 2019. This primarily tests one's familiarity with size, power of a test and whether he/she is able to condition an event properly.

Largest possible value | AMC-10A, 2004 | Problem 15 Read More

Try this beautiful problem from Number Theory based on largest possible value from AMC-10A, 2004. You may use sequential hints to solve the problem.

Problem on Ratio | PRMO 2017 | Question 12 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on ratio and proportion. You may use sequential hints to solve the problem.

Points of Equilateral triangle | AIME I, 1994 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Points of Equilateral triangle.

Length of a Tangent | AMC-10A, 2004 | Problem 22 Read More

Try this beautiful problem from AMC-10A, 2004 based on Triangle. You may use sequential hints to solve the problem.

Problem on Cylinder | AMC-10A, 2004 | Problem 11 Read More

Try this beautiful problem from AMC 10A, 2004 based on Mensuration: Cylinder. You may use sequential hints to solve the problem.

Problem on Real numbers | Algebra | PRMO-2017 | Problem 18 Read More

Try this beautiful problem from Algebra based on real numbers from PRMO 2017. You may use sequential hints to solve the problem.

Shift the Curves | ISI MStat 2019 PSB Problem 1 Read More

This problem is an easy application in calculus using the basic ideas of curve sketching. This is the problem 1 from ISI MStat 2019 PSB.

Neyman Welcomes You | ISI MStat 2018 PSB Problem 8 Read More

This is a problem from ISI MStat Examination,2018.

It involves construction of a most powerful test of size alpha using Neyman Pearson Lemma. The aim is to find its critical region in terms of quantiles of a standard distribution.

Conditions and Chance | ISI MStat 2018 PSB Problem 5 Read More

This problem is a cute application of joint distribution and conditional probability. This is the problem 5 from ISI MStat 2018 PSB.

Right angled triangle | AIME I, 1994 | Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Right angled triangle.

Binomial Expression | TOMATO B.Stat Objective 117 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Binomial Expression. You may use sequential hints to solve the problem.

Trigonometry & natural numbers | PRMO 2017 | Question 11 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Trigonometry & natural numbers. You may use sequential hints to solve the problem.

Length and Inequalities | AIME I, 1994 | Question 12 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Length and Inequalities.

Complex roots and equations | AIME I, 1994 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1994 based on Complex roots and equations.

Perfect square and Positive Integer | TOMATO B.Stat Objective 115 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Perfect square and Positive Integer. You may use sequential hints.

Pairs of Positive Integer | ISI-B.stat | Objective Problem 178 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Pairs of Positive Integer. You may use sequential hints.

Integer Problem | ISI BStat | Objective Problem 156 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance from Integer based on divisibility. You may use sequential hints.

Quadratic equation | ISI-B.stat | Objective Problem 198 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Quadratic equation You may use sequential hints.

Numbers on cube | AMC-10A, 2007 | Problem 11 Read More

Try this beautiful problem from AMC 10A, 2007 based on Numbers on cube. You may use sequential hints to solve the problem.

Probability | AMC-10A, 2003 | Problem 8 Read More

Try this beautiful problem from Probability: positive factors AMC-10A, 2003. You may use sequential hints to solve the problem

Symmetry, Counting, and Partition | ISI MStat PSB 2015 Problem 4 Read More

This problem is an application of the non negative integer solution and the symmetry argument. This is from ISI MStat 2015 PSB Problem 4.

Application of Cauchy Functional Equations | ISI MStat 2019 PSB Problem 4 Read More

This problem is a beautiful application of the probability theory and cauchy functional equation. This is from ISI MStat 2019 PSB problem 4.

Problem on Permutation | SMO, 2011 | Problem No. 24 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2011 based on Permutation. You may use sequential hints to solve the problem.

Integers and Inequality | PRMO 2017 | Question 7 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Integers and Inequality. You may use sequential hints to solve the problem.

GCD and Ordered pair | AIME I, 1995 | Question 8 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on GCD and Ordered pair.

Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 2a Read More

Try this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

Diamond Pattern | AMC-10A, 2009 | Problem 15 Read More

Try this beautiful problem from AMC-10A, 2009 based on Diamond Pattern. You may use sequential hints to solve the problem.

Problem on Digits | TOMATO B.Stat Objective 111 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Problem on Digits. You may use sequential hints to solve the problem.

Trigonometry and positive integers | AIME I, 1995 | Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Trigonometry and positive integers.

Series Problem | PRMO 2017 | Question 6 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Series Problem. You may use sequential hints to solve the problem.

Problem on Positive Integer | AIME I, 1995 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles.

Trigonometry and greatest integer | AIME I, 1997 | Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Trigonometry and greatest integer.

Central Limit Theorem by Simulation ( R Studio) Read More

This post verifies central limit theorem with the help of simulation in R for distributions of bernoulli, uniform and poisson.

Data, Determinant and Simplex Read More

This problem is a beautiful problem connecting linear algebra, geometry and data. Go ahead and dwelve into the glorious connection.

Number of triangles in Polygon | TOMATO B.Stat Objective 105 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on number of triangles in a Polygon. You may use sequential hints.

Geometric Progression and Integers | PRMO 2017 | Question 5 Read More

Try this beautiful problem from the Pre-RMO, 2017 based on Geometric Progression and Integers. You may use sequential hints to solve the problem.

Two and Three-digit numbers | AIME I, 1997 | Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Two and Three-digit numbers.

Odd and Even integers | AIME I, 1997 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1997 based on Odd and Even integers.

Arrangement in a Ring | TOMATO B.Stat Objective 103 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Arrangement in a Ring. You may use sequential hints to solve the problem.

Application of Pythagoras Theorem | SMO, 2010 | Problem 22 Read More

Try this problem from the Singapore Mathematics Olympiad, SMO, 2010 based on the application of the Pythagoras Theorem. You may use sequential hints.

Probability Dice Problem | AMC-10A, 2009 | Problem 22 Read More

Try this beautiful problem from Probability in Dice from AMC-10A, 2009. You may use sequential hints to solve the problem.

Sitting arrangement | ISI-B.stat | Objective Problem 120 Read More

Try this beautiful problem from TOMATO useful for ISI B.Stat Entrance based on Sitting Arrangement. You may use sequential hints.

Problem on Integral Inequality | ISI - MSQMS - B, 2015 Read More

Try this problem from ISI MSQMS 2015 which involves the concept of Integral Inequality and real analysis. You can use the sequential hints provided to solve the problem.

Problem on Trigonometry | SMO, 2008 | Problem - 22 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem.

Counting Double Subsets | ISI MStat 2014 Sample PSB Problem 3 Read More

This problem is an extension of the bijection princple idea used in counting the number of subsets of a set. This is ISI MStat 2014 Sample Paper PSB Problem 3.

Functional Equations Problem | SMO, 2012 | Problem 33 Read More

Try this beautiful Problem from Singapore Mathematics Olympiad, 2012 based on Functional Equations. You may use sequential hints to solve the problem.

Problem based on Triangles | PRMO-2018 | Problem 12 Read More

Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2018 based on Triangles. You may use sequential hints to solve the problem.

Probability in Divisibility | AMC-10A, 2003 | Problem 15 Read More

Try this beautiful problem from Probability based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.

Inequality Problem From ISI - MSQMS - B, 2017 | Problem 3a Read More

Try this problem from ISI MSQMS 2017 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

Divisibility Problem from AMC 10A, 2003 | Problem 25 Read More

Try this beautiful problem from Number theory based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.

Pattern Problem | AMC-10A, 2003 | Problem 23 Read More

Try this beautiful problem from Pattern based on Triangle from AMC-10A, 2003. You may use sequential hints to solve the problem

Trigonometry Problem from SMO, 2008 | Problem No.17 Read More

Try this beautiful Problem from Singapore Mathematics Olympiad, SMO, 2008 based on Trigonometry. You may use sequential hints to solve the problem.

Condition checking | ISI-B.stat Entrance | Objective Problem 60 Read More

Try this beautiful problem from Inequation from TOMATO useful for ISI B.Stat Entrance based on condition checking.You may use sequential hints.

Elchanan Mossel's Dice Paradox | ISI MStat 2018 PSB Problem 6 Read More

This problem is called the Elchanan Mossel's Dice Paradox. The problem has a paradoxical nature, but there is always a way out. This ISI MStat 2018 PSB Problem 6.

Squares and Triangles | AIME I, 1999 | Question 4Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles.

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Function of Complex numbers | AIME I, 1999 | Question 9 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Function of Complex numbers.

Perfect square Problem | AIME I, 1999 | Question 3Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

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Sum of squares of two numbers | B.Stat Objective | TOMATO 77 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

Non-Consecutive Selection | ISI MStat 2019 PSB Problem 3 Read More

This problem is a beautiful and simple application of bijection principle to count how we can select the number of non consecutive integers in combinatorics from Problem 3 of ISI MStat 2019 PSB.

Intertwined Conditional Probability | ISI MStat 2016 PSB Problem 4 Read More

This is an interesting problem from conditional probability and bernoulli random variable mixture, which gives a sweet and sour taste to the Problem 4 of ISI MStat 2016 PSB.

Series and Integers | B.Stat Objective | TOMATO 81 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Series and Integers. You may use sequential hints.

Combination of Sequence | B.Stat Objective | TOMATO 79 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence. You may use sequential hints.

Triangle and Integer | PRMO 2019 | Question 28 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Triangle and Integer. You may use sequential hints to solve the problem.

A Parallelogram and a Line | AIME I, 1999 | Question 2 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on A Parallelogram and a Line.

Venny Venny AMy GMy | ISI MStat 2016 PSB Problem 3 Read More

This problem is a very basic and cute application of set theory, venn diagram and and am gm inequality to solve the ISI MStat 2016 PSB Problem 3.

Smallest prime Problem | AIME I, 1999 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Smallest prime.

Incentre and Triangle | AIME I, 2001 | Question 7 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Incentre and Triangle.

Cones and circle | AIME I, 2008 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Cones and circle.

Area of Triangle and Integer | PRMO 2019 | Question 29 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Area of Triangle and Integer. You may use sequential hints to solve the problem.

Likelihood & the Moment | ISI MStat 2016 PSB Problem 7 Read More

This problem is a beautiful example when the maximum likelihood estimator is same as the method of moments estimator. Infact, we have proposed a general problem, is when exactly, they are equal? This is from ISI MStat 2016 PSB Problem 7, Stay Tuned.

Merry-go-round Problem | ISI-B.Stat Entrance | TOMATO 104 Read More

Try this beautiful problem based on the combinatorics from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.

Octahedron Problem | AMC-10A, 2006 | Problem 24 Read More

Try this beautiful problem from Geometry: Octahedron AMC-10A, 2006. You may use sequential hints to solve the problem

Probability in Coordinates | AMC-10A, 2003 | Problem 12 Read More

Try this beautiful problem from Probability in Coordinates from AMC-10A, 2003. You may use sequential hints to solve the problem.

Problem based on Triangle | PRMO-2012| Problem 7 Read More

Try this beautiful problem from Pre-Regional Mathematics Olympiad, PRMO, 2012 based on Triangle You may use sequential hints to solve the problem.

Triangle and Trigonometry | AIME I, 1999 Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Triangle and Trigonometry.

Least Positive Integer Problem | AIME I, 2000 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2000 based on Least Positive Integer.

Probability in Games | AIME I, 1999 | Question 13 Read More

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 1999 based on Probability in Games. You may use sequential hints.

Integers and remainders | TOMATO B.Stat Objective 85 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Integers and remainders. You may use sequential hints to solve the problem.

Problem on Area of Triangle | SMO, 2010 | Problem 32 Read More

Try this beautiful problem from Singapore Mathematics Olympiad based on area of triangle. You may use sequential hints to solve the problem.

Problem on HCF | SMO, 2013 | Problem 35 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2013 based on HCF. You may use sequential hints to solve the problem.

Theory of Equations | AIME I, 2015 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Theory of Equations.

Equations and Complex numbers | AIME I, 2019 Question 10 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2019 based on Equations and Complex numbers.

Correlation of two ab(Normals) | ISI MStat 2016 PSB Problem 6 Read More

This problem is an interesting application of the moment generating function of normal random variable to see how the correlation behaves under monotone function. This is the problem 6 from ISI MStat 2016 PSB.

Probability Problem | Combinatorics | AIME I, 2015 - Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2015 based on Probability. You may use sequential hints.

Area of Equilateral Triangle | AIME I, 2015 | Question 4 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 from Geometry based on Area of Equilateral Triangle.

Probability of divisors | AIME I, 2010 | Question 1 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Probability of divisors.

Equations with number of variables | AIME I, 2009 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2009 based on Equations with a number of variables.

Probability of tossing a coin | AIME I, 2009 | Question 3 Read More

Try this beautiful problem from American Invitational Mathematics Examination, AIME, 2009 based on Probability of tossing a coin.

Logic and Group | TOMATO B.Stat Objective Question Read More

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Group. You may use sequential hints to solve the problem.

Complex Numbers and prime | AIME I, 2012 | Question 6 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Complex Numbers and prime.

Arrangement of digits | AIME I, 2012 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2012 based on Arrangement of Digits. You may use sequential hints.

Two Arrangements | PRMO 2019 | Question 5 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Two Arrangements. You may use sequential hints to solve the problem.

Exponents and Equations | AIME I, 2010 Question 3 Read More

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 2010 based on Exponents and Equations.

Coordinate Geometry Problem | AIME I, 2009 Question 11 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Coordinate Geometry.

Geometric Sequence Problem | AIME I, 2009 | Question 1 Read More

Try this beautiful problem from American Invitational Mathematics Examination I, AIME I, 2009 based on geometric sequence. Use hints to solve the problem.

Cycles, Symmetry, and Counting | ISI MStat 2016 PSB | Problem 2 Read More

This problem from ISI MStat 2016 PSB is a beautiful application of basic counting principles, symmetry and double counting principles in combinatorics.

Restricted Regression Problem | ISI MStat 2017 PSB Problem 7 Read More

This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7.

Trigonometry Problem | PRMO 2016 | Question 14 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Trigonometry Problem. You may use sequential hints to solve the problem.

Problem on Inequality | ISI - MSQMS - B, 2018 | Problem 4bTry this problem from ISI MSQMS 2018 which involves the concept of Inequality. You can use the sequential hints provided to solve the problem.

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Problem on Functional Equation | SMO, 2010 | Problem 31 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2010 based on functional equation. You may use sequential hints.

Inequality Problem | ISI - MSQMS 2018 | Part B | Problem 4 Read More

Try this problem from ISI MSQMS 2018 which involves the concept of Inequality and Combinatorics. You can use the sequential hints provided.

Definite Integral Problem | ISI 2018 | MSQMS- A | Problem 22 Read More

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

Problem on Natural Numbers | TIFR B 2010 | Problem 4 Read More

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.

Lock and Key | ISI MStat 2017 PSB | Problem 6 Read More

This problem is a beautiful and elegant probability based on elementary problem on how to effectively choose the key to a lock. This gives a simulation environment to the problem 6 of ISI MStat 2017 PSB.

Remainder Problem | ISI-B.Stat Entrance | TOMATO 90 Read More

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.

Roots of Equations | PRMO-2016 | Problem 8 Read More

Try this beautiful problem from Algebra based on quadratic equation from PRMO 2016. You may use sequential hints to solve the problem.

Rectangles and sides | AIME I, 2011 | Question 2Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

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Triangles and sides | AIME I, 2009 | Question 5 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2009 based on Triangles and sides.

Composite number Problem | B.Stat Objective | TOMATO 75Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

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Positive Integers Problem | TIFR B 201O | Problem 12 Read More

Try this problem of TIFR GS-2010 using your concepts of number theory based on Positive Integers. You may use the sequential hints provided.

A Telescopic Sequence| ISI MStat 2018 PSB Problem 2 Read More

This is a beautiful problem from ISI MStat 2018 problem 2, which uses the cutae little ideas of telescopic sum and partial fractions.

Measuring the length in Triangle | AMC-10B, 2011 | Problem 9 Read More

Try this beautiful problem from Geometry: Triangle from AMC-10B, 2011, Problem-9. You may use sequential hints to solve the problem.

Area of the Trapezium | AMC-10A, 2018 | Problem 24 Read More

Try this beautiful problem from Geometry:Area of Trapezium.AMC-10A, 2018. You may use sequential hints to solve the problem

Area of Triangle Problem | AMC-10A, 2009 | Problem 10 Read More

Try this beautiful problem from Geometry: Area of triangle from AMC-10A, 2009, Problem-10. You may use sequential hints to solve the problem.

Problem based on Triangle | PRMO-2016 | Problem 10 Read More

Try this beautiful problem from PRMO, 2016 based on Triangle You may use sequential hints to solve the problem.

Arithmetic Progression | AMC-10B, 2004 | Problem 21 Read More

Try this beautiful problem from algebra, based on Arithmetic Progression from AMC-10B, 2004. You may use sequential hints to solve the problem

CYCLIC GROUP Problem | TIFR 201O | PART A | PROBLEM 1 Read More

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.

The Unique Decomposition | ISI MStat 2015 PSB Problem 3 Read More

The solution plays with eigen values and vectors to solve this cute and easy problem in Linear Algebra from the ISI MStat 2015 problem 3.

Centroid of Triangle | SMO, 2009 | Problem 1 Read More

Try this beautiful problem from Singapore Mathematics Olympiad, SMO, 2009 based on Centroid of Triangle. You may use sequential hints to solve the problem.

Logic and Integers | B.Stat Objective | TOMATO 73 Read More

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.

Patterns and Integers | AIME I, 2001 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Patterns and Integers.

Sequence and Integers | AIME I, 2007 | Question 14 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2007 based on Sequence and Integers.

REAL ANALYSIS PROBLEM | TIFR A 201O | PROBLEM 5 Read More

Try this problem of TIFR GS-2010 from Real analysis, Differentiantiation and Maxima, and Minima. Try with the sequential hints provided.

Centroids and Area | PRMO 2018 | Question 21 Read More

Try this beautiful problem from the Pre-RMO, 2018 based on Centroids and Area. You may use sequential hints to solve the problem.

Rectangle and Squares | PRMO 2019 | Question 24 Read More

Try this beautiful problem from the Pre-RMO, 2019 based on Rectangle and Squares. You may use sequential hints to solve the problem.

Invariant Regression Estimate | ISI MStat 2016 PSB Problem 7 Read More

This cute little problem gives us the wisdom that when we minimize two functions at single point uniquely , then their sum is also minimized at the same point. This is applied to calculate the least square estimates of two group regression from ISI MStat 2016 Problem 7.

Discover the Covariance | ISI MStat 2016 Problem 6 Read More

This problem from ISI MStat 2016 is an application of the ideas of indicator and independent variables and covariance of two summative random variables.

Tracing the Trace | ISI MStat 2016 PSB Problem 3 Read More

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.

Equations and roots | B.Stat Objective | TOMATO 71 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Equations and roots. You may use sequential hints.

Planes and distance | AIME I, 2011 | Question 13 Read More

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Planes and distance.

Integer and Divisibility | B.Stat Objective | TOMATO 69 Read More

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Integer and Divisibility. You may use sequential hints.