Five bells toll together at the intervals of 5, 6, 8, 12 and 20 seconds respectively. Find the numbe

Five bells toll together at the intervals of 5, 6, 8, 12 and 20 seconds respectively. Find the number of times they toll together in one hour’s time (Inclusive of the toll at the beginning)

  1. 120
  2. 31
  3. 30
  4. 5
  5. None of These

Ans: 2

Solution: Time after which all the bells tol together is the LCM of 5, 6, 8, 12 and 20.
i.e., 120 seconds = 20   minutes
The number of times they toll together in one hour =  60/2  = 30 + 1 (beginning tone)
So, the answer is 31

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