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Discussion :: Problems on H.C.F and L.C.M

  1. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

  2. A.

    4

    B.

    10

    C.

    15

    D.

    16

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    Answer : Option D

    Explanation :

    L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

     

    So, the bells will toll together after every 120 seconds(2 minutes).

     

    In 30 minutes, they will toll together  \(\frac { 30 } { 2 } \) + 1 = 16 times.
     

     


austin said : (Jan 27, 2022)

surely the bells will toll together after 120sec/2min but we given time frame of only 30mins datz ok y add 1 again?.


austin said : (Jan 27, 2022)

y add 1