How many times do hour and minute hands overlap in 24 hours?
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It therefore follows that, the second time they overlap, the minute hand would have completed two more laps than the hour hand. We can conclude that, for n overlaps, . Since we have 24 hours in a day, we can solve the above equation for n.
Thus, the hands of a clock overlap 22 times per day
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22 times in 24 hours hour hand and minute hand overlaps each other
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