In 30 Minutes How Many Times do They Toll Together?

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

  1. 4
  2. 10
  3. 15
  4. 16
Monis Rasool Professor Asked on 10th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 16.
    Explanation:-

    The LCM of 2, 4, 6, 8, 10, 12 is 120
    Therefore, the bells toll after every 120 sec.
    120 sec = 120/60 = 2 min.
    In 30 minutes, they will toll together = 30 /2 + 1 = 15 + 1 = 16

    Hence, the answer is (4) 16.

    Anurag Mishra Professor Answered on 10th June 2015.
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