Question
Five bells commence tolling together and tolls at
intervals of 6, 12, 36, 42 and 60 seconds respectively. In 126 minutes, how many times do they toll together?Solution
First time, 5 bells will toll together on = LCM (6,12,36,42 & 60sec) = 1260 sec = 21 minIn 126 minutes , they will toll together = 126/21 = 6 times But it is also given that they commence tolling together at starting time so answer is 6 + 1 = 7.
The least number which when divided by 6, 7, 10, 13, and 15 leaves the same remainder 5 in each case, is:
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