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  1. At what time between 4 o'clock and 5 O' clock will the hands of a clock coincide?

    2. A.
    21Apti Clocks30minutes past 4
    B.
    20Apti Clocks31minutes past 4
    C.
    19Apti Clocks32minutes past 4
    D.
    22Apti Clocks33minutes past 4

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    Answer : Option A

    Explanation :

    At 4 O' clock, the minute hand is 20 minute spaces behind the hour hand. To coincide with the hour hand, it has to gain 20 minute spaces.

    Now, 55 minute spaces are gained by the minute hand in 60 minutes

    20 minutes will be gained in

    ∴ The hands will coincide at 21 minutes past 4.

    Solution 2:

    Apply formula:

    minutes past H O' clock

    Now, H = 4 O' clock

    ∴Required time =

    Apti Clocks38

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