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What is INMO 2013 Problems and Solutions about?

This document contains 6 math problems and their solutions. Problem 1 asks to prove that a triangle is equilateral given certain conditions regarding two tangent circles. Problem 2 asks to find integer solutions to an equation involving primes. Problem 3 asks to show an polynomial has no integer solutions. Problem 4 relates the parity of subsets of integers to the parity of their size. Problem 5 relates the areas of triangles formed by points related to a triangle. Problem 6 shows relations between positive

Author

yogesh singh

Language

EN