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October 23, 2019
RMO 2019 Problem 4 Solution

Regional Math Olympiad (RMO) 2019, Problem 3 needed a clever trick from algebraic manipulation and playing with numbers. See solution with sequential hints.

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October 22, 2019
RMO 2019 Problem 6 Solution

Regional Math Olympiad (RMO) 2019, Problem 6 needed a clever trick from Ithe tools of Graph Theory. Sequential hints to the solution are given.

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October 21, 2019
Inequality in RMO 2019 Problem 3 Solution

Regional Math Olympiad (RMO) 2019, Problem 3 needed a clever trick from Inequality. It used AM - GM twice with a transformation. We give sequential hints leading upto solution.

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October 21, 2019
Rational form - RMO 2019 Problem 1 Solution

This beautiful application from Regional Math Olympiad 2019, Problem 1 is based on the concepts of Algebra. Sequential hints are given to work the problem accordingly.

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October 20, 2019
The geometry of circles from RMO 2019 Problem 5 Solution

This beautiful application from Regional Math Olympiad 2019, Problem 5 is based on the concepts of Euclidean Geometry. Sequential hints are given to work the problem accordingly.

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October 20, 2019
Geometry from RMO 2019 Problem 2 Solution

This beautiful application from Regional Math Olympiad 2019, Problem 2 is based on the concepts of Euclidean Geometry. Sequential hints are given to work the problem accordingly.

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October 20, 2019
RMO 2019 Solutions

Regional Math Olympiad (RMO) 2019 solutions, sequential hints and discussions. Try some beautiful problems on Number Theory, Geometry and Algebra.

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October 10, 2019
An Hour of Beautiful Proofs

Every week we dedicate an hour to Beautiful Mathematics - the Mathematics that shows us how Beautiful is our Intellect. Today we are going to discuss the Fermat's Little Theorem. This week, I decided to do three beautiful proofs in this one-hour session... Proof of Fermat's Little Theorem ( via Combinatorics ) It uses elementary […]

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October 5, 2019
Polynomial Functional Equation - Random Olympiad Problem

This beautiful application of Functional Equation is related to the concepts of Polynomials. Sequential hints are given to work out the problem and to revisit the concepts accordingly.

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October 4, 2019
Number Theory - Croatia MO 2005 Problem 11.1

This beautiful application from Croatia MO 2005, Problem 11.1 is based on the concepts of Number Theory. Sequential hints are given to work the problem accordingly.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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