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The number of times the minute hand and the hour hand, in a clock, are exactly above each other (i.e. angle between them is zero) from 1 am of a day t
Question

The number of times the minute hand and the hour hand, in a clock, are exactly above each other (i.e. angle between them is zero) from 1 am of a day to 1 am on the next day is

A.

21

B.

22

C.

23

D.

24

Correct option is B

Solution:

In 12 hours, the minute hand and hour hand coincide 11 times (not 12 times).

Because, after 12:00, the first coincidence happens after some time, not exactly at 1:00 or any exact hour.

Thus:

In 24 hours, the coincidence happens 2 × 11 = 22 times.

Hence, the correct answer is (b) 22.

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