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

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

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January 14, 2021
Pigeonhole Principle

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

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

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

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

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

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October 29, 2020
Mahalanobis National Statistics Competition

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

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

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

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

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

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

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

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

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

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

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

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October 10, 2023
Gauss Contest (NMTC PRIMARY LEVEL- V and VI Grades) 2022 - Problems and Solution

Problems and Solutions from Gauss Contest (NMTC Primary Level Grade 5 and 6) 2022. This contest is conducted by AMTI.

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October 10, 2023
Bhaskara Contest (NMTC JUNIOR LEVEL-IX and X Grades) 2023 - Problems and Solutions

Problems and Solutions from NMTC Junior (Class IX and X) contest 2023. This contest is conducted by AMTI.

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October 8, 2023
How to prepare for the next IOQM?

How to prepare for the first level of real Math Olympiads in India (the IOQM)? In this post we discuss books, learning strategies and other tools.

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October 4, 2023
27 Cheenta Students crack IOQM 2023

In 2023, 23 Cheenta students (20 current students and 3 ex-students) qualified in IOQM 2023. This is a result of a lot of hard work over several months. Most of these kids regularly attended the five-days-a-week problem solving sessions apart from concept class + homework class + doubt clearing class.

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September 5, 2023
New AMC 10 & 12 Review Course

Cheenta is offering a 36-hour program on AMC 10 & 12. In this short review course, we will cover concepts from Number Theory, Geometry, Algebra, and Combinatorics. This course is problem-driven in nature, in the sense concepts will be introduced and taught using relevant problems. Schedule The program starts on September 9th. The online live […]

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September 3, 2023
IOQM 2023 Problems and Solutions (PRMO 2023)

Answer Keys (Unofficial) 5) 10 14) 40 20) 43 23) 36 26) 19 27) 91 28) 67 29) 95 30) 18 Problem Set

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August 26, 2023
Notes on IOQM and RMO

In this post we are adding notes for IOQM, RMO and similar math olympiads. These are derived from Cheenta's Problem solving classes and Math Olympiad Training Program. These notes cover topics from Number Theorem, Geometry, Algebra and Geometry. Revisit this page for more notes.

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March 2, 2023
4 Cheenta students cracked INMO - IMOTC in 2023

4 Cheenta students, Parth Vartak, Abhinav Khetan, Piyush Jha and Mann Shah cracked INMO. It is the hardest Math Olympiad in India. They qualified for IMO Training Camp. In this video we discuss some of the tools used in Cheenta Math Olympiad program and why it is so successful. Particularly 2022-23 has been a truly […]

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September 27, 2022
PRMO 2016 Problem No 4 | Combination Problem

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

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September 26, 2022
PRMO 2016 Problem No 5 | Set Theory Problem

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

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