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April 4, 2020
Box and ball Probability | B.Stat Objective TOMATO Problem 59

Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Box and ball Probability. Box and ball Probability ( B.Stat Objective Problem ) A box contains 100 balls of different colours 28 red 17 blue 21 green 10 white 12 yellow 12 black. The smallest number n such that any n balls drawn from […]

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April 4, 2020
Inequations and Conditions | ISI B.Stat TOMATO Problem

Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Inequations and conditions. Inequations and Conditions (B.Stat Objective problems) When \(x(A-x) \lt y(A-y)\) for all x,y with\(0 \lt x \lt y \lt1\), find the condition that holds Key Concepts Check the Answer Try with Hints Other useful links https://dev.cheenta.com/gcd-and-bezout-theorem/ https://www.youtube.com/watch?v=w0Y2oXoyEEQ&t=6s Related Program Subscribe to […]

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April 3, 2020
Central Limit Theorem | ISI MStat 2018 PSB Problem 7

This problem based on Central Limit Theorem gives a detailed solution to ISI M.Stat 2018 PSB Problem 7, with a tinge of simulation and code.

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April 3, 2020
Probability Theory | ISI MStat 2015 PSB Problem B5

This is a detailed solution based on Probability Theory of ISI MStat 2015 PSB Problem B5, with the prerequisites mentioned explicitly. Stay tuned for more.

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April 3, 2020
Cumulative Distributive Function | ISI M.Stat 2019 PSB Problem B6

This problem gives a detailed solution to ISI M.Stat 2019 PSB Problem 6, with a tinge of simulation and code. Stay tuned for more.

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April 2, 2020
Maximum Likelihood Estimation | ISI MStat 2017 PSB Problem 8

This problem based on Maximum Likelihood Estimation, gives a detailed solution to ISI M.Stat 2017 PSB Problem 8, with a tinge of simulation and code.

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April 1, 2020
Number counting | TOMATO ISI BStat Objective Problem 56

Try this beautiful problem Based on Number counting. You may use sequential hints to solve the problem.

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March 30, 2020
Set theory | TOMATO ISI B.stat Objective | Problem 53

Try this beautiful problem Based on Set Theory .You may use sequential hints to solve the problem.

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March 26, 2020
The Mathematics of How Virus can Grow

The Mathematics of How Corona Virus Grow? The beautiful tale of undeterministic mathematics of chance and chaos of when they will become extinct or when they will thrive.

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March 19, 2020
The Exaggerated Triangle Inequality

Triangle Inequality is an exaggerated version of the Basic Idea of the Euclidean Plane. Let's do some Triangle inequality Problems and Solutions.

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

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

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

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

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

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

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

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

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

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

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January 17, 2021
IOQM 2021 Problems & Solutions

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 […]

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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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November 6, 2020
National Mathematics Talent Contest (NMTC) 2022

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

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

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

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October 16, 2020
Even Parity and Odd Parity

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

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