How many times a day do all three hands of analog watch overlaps?

There is a perfectly accurate analog watch with hour, minute, and second hands.

How many times a day do all three hands overlap?

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Detective Expert Asked on 6th September 2015 in Aptitude Question.
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  • 3 Answer(s)
    2 times – At 12 midnight and 12 noon, all the three hands overlap.

    Explanation:-
    The hour hand moves 30 degrees in an hour, the minute hand moves 6 degrees in hour and the second hand moves 0.1 degrees.

    Finding the HCF of 30,6 and 0.1 and finding the next times when the hands meet, we get that at only those two times all the three hands gets overlapped.

    SherlockHolmes Expert Answered on 6th September 2015.

    I don’t understand it should be 24 times . Can you explain more.

    on 15th August 2016.
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    24 times

    Shanu katolkar Genius Answered on 3rd May 2016.
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    24 times a day all the 3 hands overlap.

    Shubham Patra Guru Answered on 15th August 2016.
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