god's automatic bells..
Number Theory
Level
pending
Three bells in bhootnath temple toll at the interval of 48,72 & 108 seconds individually . IF they have tolled all together at 6:00 AM. Then at what time will they toll togather after 6:00 AM ?
8:00:00 AM
6:07:12 AM
7:20:40 AM
7:40:20 AM
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1 solution
The three bells toll together only at the LCM of the times they toll individually.
Thus the LCM of 48,72 & 108 is 432 seconds. Therefore all the bells will toll together at 6:07:12 AM ( cause 432 seconds = 7 minuts 12 seconds)