How many Times They will Toll Together in one Hour?

Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. How many times they will toll together in one hour?

  1.  5
  2. 14
  3. 6
  4. 7
Anurag Mishra Professor Asked on 12th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 7 

    Explanation:-
    The LCM of 6, 7, 8, 9 and 12 = 2 x 2 x 2 x 3 x 3 x 7
    = 504

    Then, the toll together 504 sec after.
    1 hour = 60 min
    1 min = 60 sec
    Therefore,
    60 min = 60 x 60 sec
    Then, 1 hour = 3600 sec

    The number of toll in one hour = 3600/504
    = 7 time and  72 sec remaining

    Then, 7 times tool in one hour.

    Hence, the answer is (4) 7.

    Anurag Mishra Professor Answered on 14th October 2015.
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