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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