At what time will the hands of a clock overlap exactly 5 times between noon and midnight?

Category: Math · Difficulty: expert

Hint: Consider how the minute hand moves faster than the hour hand.

Answer

12:00, 1:05, 2:10, 3:15, 4:20

Explanation

The hands overlap approximately every 65 minutes, leading to five overlaps from 12:00 to 12:00.

This is a expert math riddle — one of the harder riddles here. The answer is 12:00, 1:05, 2:10, 3:15, 4:20.

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