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    There are four table clocks. They ring every 10 min , 15 min , 20 min and 25 min respectively. If they all ring together at 10 a.m., then at what time
    Question

    There are four table clocks. They ring every 10 min , 15 min , 20 min and 25 min respectively. If they all ring together at 10 a.m., then at what time will they ring together again?

    A.

    3 : 30 p.m.

    B.

    10 : 00 p.m.

    C.

    3 : 00 p.m.

    D.

    12 : 00 p.m.

    Correct option is C

    ​Given:

    There are four table clocks. They ring every 10 min , 15 min , 20 min and 25 min respectively

    Solution:

    LCM(10, 15, 20, 25)  = 300

    Thus, the clocks will all ring together again after 300 minutes.

    Since the clocks all ring together at 10 a.m., we add 5 hours to 10 a.m., which gives:

    10 a.m. + 5 hours = 3 p.m.

    Thus, The clocks will all ring together again at 3:00 p.m..






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