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Six bells ring at intervals of 2 4 6 8 10 and 12 seconds respectively.They started ringing simultaneously. How many times will they ring together in 30 min

Answer»

Answer:

LCM of 2, 4, 6, 8 10 and 12 is 120.

So, after each 120 seconds, they would toll together.

Hence, in 30 minutes, they would toll 30*60 seconds / 120 seconds = 15 times

But then the QUESTION says they commence tolling together. So, they basically ALSO toll at the "beginning" ("0" second).

So, total tolls together = 15+1 = 16

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