Wednesday, November 17, 2010
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
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