Wednesday, September 15, 2010

35th Canadian Mathematical Olympiad Problems 2003

35th Canadian Mathematical Olympiad Problems 20031.  The angle between the hour and minute hands of a standard 12-hour clock is exactly 1o. The time is an integral number n of minutes after noon (where 0 < n < 720). Find the possible values of n. 2.  What are the last three digits of 2003N, where N = 20022001.