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2 Math Problems

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1. Four coins. Place four coins on a table with heads facing downward. On each move you must turn over exactly three coins. Count the number of moves it takes to get all four coins with heads facing upward. What is the minimum number of moves necessary to get all four heads facing upward.

2. Timely coincidence. Starting at 8 A.M. determine the number of times in the next 24 hours for which the hour and minute hands on a clock coincide.

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