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How many times in a day, the hands of a clock are straight?

Question

How many times in a day, the hands of a clock are straight?

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Solution

The hands of a clock are straight 44 times in a day. Here's how:

  1. In every hour, the minute and the hour hand overlap twice - once when they are straight at 0 minutes and once when they are straight at 30 minutes.

  2. However, this is not the case at 12:00 and 6:00. At these times, the hands are straight only once.

  3. So, in 12 hours, the hands are straight (12*2)-2 = 22 times.

  4. Since there are 24 hours in a day, the hands are straight 22*2 = 44 times in a day.

This problem has been solved

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