Cheenta Blog Since 2010

Mathematics is Beautiful
University Application
Guides
Books
ISI Entrance
Math Olympiad
বাংলা
April 23, 2020
Sum of squares of two numbers | B.Stat Objective | TOMATO 77

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

Read More
April 22, 2020
Combination of Sequence | B.Stat Objective | TOMATO 79

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

Read More
April 22, 2020
Series and Integers | B.Stat Objective | TOMATO 81

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

Read More
April 20, 2020
Merry-go-round Problem | ISI-B.Stat Entrance | TOMATO 104

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

Read More
April 19, 2020
Weekly Schedule : Week of April 20 to 26
Read More
April 19, 2020
Integers and remainders | TOMATO B.Stat Objective 85

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

Read More
April 18, 2020
Logic and Group | TOMATO B.Stat Objective Question

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

Read More
April 16, 2020
Restricted Regression Problem | ISI MStat 2017 PSB Problem 7

This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7.

Read More
April 15, 2020
Lock and Key | ISI MStat 2017 PSB | Problem 6

This problem is a beautiful and elegant probability based on elementary problem on how to effectively choose the key to a lock. This gives a simulation environment to the problem 6 of ISI MStat 2017 PSB.

Read More
April 15, 2020
Composite number Problem | B.Stat Objective | TOMATO 75

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

Read More
July 15, 2021
Rational Root Theorem Proof Explanation | Learn with Cheenta

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

Read More
June 29, 2021
AMC 8 2018 Problem 24 | American Mathematics Competitions

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

Read More
June 28, 2021
AMC 8 2020 Problem 18 | American Mathematics Competitions

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

Read More
June 17, 2021
RMO 1994 Problems And Solutions

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

Read More
May 1, 2021
How to Prepare for Indian National Math Olympiad (INMO) ~ Arjun Gupta

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

Read More
April 19, 2021
How to Prepare for EGMO ~ Ananya Ranade (Silver Medal)

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

Read More
April 12, 2021
AMC 8 Algebra Questions - Year wise

Try these AMC 8 Algebra Questions and check your knowledge! AMC 8, 2025, Problem 7 On the most recent exam on Prof. Xochi's class, 5 students earned a score of at least \(95 \%\),13 students earned a score of at least \(90 \%\),27 students earned a score of at least \(85 \%\),50 students earned a […]

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

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

Read More
March 15, 2021
What is Stirling Number of First Kind

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

Read More
March 11, 2021
INMO 2021 Question No. 1 Solution

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

Read More
© 2010 - 2025, Cheenta Academy. All rights reserved.
linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram