MathDB

1

Part of 2003 Canada National Olympiad

Problems(1)

Clock and angle

Source: Canada 2003

3/5/2006
Consider a standard twelve-hour clock whose hour and minute hands move continuously. Let mm be an integer, with 1≤m≤7201 \leq m \leq 720. At precisely mm minutes after 12:00, the angle made by the hour hand and minute hand is exactly 1∘1^\circ. Determine all possible values of mm.