Multiple choice

How many times will the hour hand and the minute hand overlap each other from morning 11'o clock to evening 7'o clock?

  1. 9

  2. 8

  3. 7

  4. 6
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C Correct answer
Explanation

The hands overlap every 65 minutes approximately. In 8 hours (11 to 7), they overlap at 12:00, 1:05, 2:10, 3:16, 4:21, 5:27, 6:32. That is 7 times.

AI explanation

We count the overlaps for each hour individually from 11:00 a.m. to 7:00 p.m. The hands overlap once between 11 and 12, and once during each subsequent hourly interval (12 to 1, 1 to 2, 2 to 3, 3 to 4, 4 to 5, 5 to 6, and 6 to 7). Counting these gives 1 plus 6, which results in 7 times.

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