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How many times in a day, are the hands of a clock in straight line but opposite in direction? 20 22 24 48

Question

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Solution

The hands of a clock are in a straight line but opposite in direction 22 times in a day.

Here's the step by step explanation:

  1. In every hour, the minute and the hour hand overlap once. This is when they are in a straight line and in the same direction.

  2. However, they are in a straight line but opposite in direction twice in every hour except for 6 o'clock and 12 o'clock. This is because at 6 o'clock and 12 o'clock, they are in a straight line and in the same direction.

  3. So, in 12 hours, they are in a straight line but opposite in direction 22 times (2 times for 10 hours + 1 time at 6 o'clock + 1 time at 12 o'clock).

  4. Therefore, in 24 hours (a day), they are in a straight line but opposite in direction 22 x 2 = 44 times.

However, this is not one of the options you provided. The closest option to the correct answer is 48. It seems there might be a mistake in the question or the options provided.

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