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Four bells toll at intervals of 6, 8, 12 and 18 minutes, respectively. If they start tolling together at 12 am, How many times will they toll together in 6 hours?
6 times
5 times
4 times
Data inadequate
To calculate this, we should take the L.C.M. of 6, 8, 12 and 18.
L.C.M. of 6, 8, 12, 18 = 72.
So, the bells ring simultaneously every 72 minutes.
In 6 hours (360 minutes) bells ring simultaneously 5 times (72, 144, 216, 288, 360 mins).
Including the simultaneous ring at 12'O clock, the answer is 6 times.
Though first bell rang at 12 o' clock and then 5 times, hence bell ring 5+1=6 times in 6 hours.
Hence, option 1 is the correct answer.
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