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    Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In the first 10 minutes, how many times w
    Question

    Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In the first 10 minutes, how many times would they have tolled together?

    A.

    5 times

    B.

    4 times

    C.

    2 times

    D.

    6 times

    Correct option is D

    Given:

    Tolling intervals of bells = 2, 4, 6, 8, 10, 12 seconds
    Total duration = 10 minutes = 600 seconds

    Solution:

    LCM (2 , 4, 6, 8, 10 ,12) = 120 seconds

    In 600 seconds, number of times they toll together:

    600120+\frac{600}{120} + ​1 = 5 + 1 = 6 times

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