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Question

# 3 bells commence tolling together and toll at intervals of 8, 10 and 12 seconds respectively. The bells will toll together after every

A
110
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B
100
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C
120
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Solution

## The correct option is C 120 The given numbers are 8,10 and 12. The factors of the given numbers are: 8=2×2×2 10=2×5 12=2×2×3 Now ,the maximum number of times prime factor 2 occurs is 3, the maximum number of times prime factor 3 occurs is 1, the maximum number of times prime factor 5 occurs is 1. So, LCM=2×2×2×3×5 = 120 L.C.M. of 8, 10 and 12 is 120. So, the bells will toll together after every 120 seconds (2 minutes).

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