2nd International Mathematical Olympiad 1960 Problems & Solutions

A1.  Determine all 3 digit numbers N which are divisible by 11 and where N/11 is equal to the sum of the squares of the digits of N. A2.  For what real values of x does the following inequality hold:        4x2/(1 - √(1 + 2x))2  <  2x + 9 ? A3.  In a given right triangle ABC, the hypoteneuse BC, length a, is divided into n equal parts with n an odd integer. The