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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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