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! Problem- ISI MStat PSB 2006...

This is a problem from ISI MStat 2019 PSA Problem 14. First, try the problem yourself, then go through the sequential hints we provide. Reflection of a point – ISI MStat Year 2019 PSA Question 14 The reflection of the point (1,2) with respect to the line \(x+2...

This is a problem from ISI MStat 2016 PSA Problem 9 based on equation of a circle. First, try the problem yourself, then go through the sequential hints we provide. Equation of a circle- ISI MStat Year 2016 PSA Question 9 Given \( \theta \) in the range \( 0 \leq...

Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. Sides of Quadrilateral – PRMO 2017 What is the number of triples (a,b,c) of positive integers such that (i) a<b<c<10 and (ii) a,b,c,10 form the sides of a quadrilateral?...

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Ordered pair. Ordered pair Problem – AIME I, 1987 An ordered pair (m,n) of non-negative integers is called simple if the additive m+n in base 10 requires...

This is a beautiful sample problem from ISI MStat 2016 PSB Problem 1. This is based on finding the minimum value of a function subjected to the restriction. ISI MStat 2016 Problem 1 Let \( x, y\) be real numbers such that \( x y=10 \) . Find the minimum value of...