4th International Mathematical Olympiad 1962 Problems & Solutions

A1.  Find the smallest natural number with 6 as the last digit, such that if the final 6 is moved to the front of the number it is multiplied by 4. A2.  Find all real x satisfying: √(3 - x) - √(x + 1) > 1/2. A3.  The cube ABCDA'B'C'D' has upper face ABCD and lower face A'B'C'D' with A directly above A' and so on. The point x moves at constant speed along the