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6 bells commence tolling together and to...

6 bells commence tolling together and toll of intervals are 2, 4, 6, 8, 10 and 12 s, respectively. In 1 h, how many times, do they toll together?

A

16

B

32

C

21

D

31

Text Solution

Verified by Experts

The correct Answer is:
D
LCM of 2, 4, 6, 8, 10, 12
` = (2 xx 2 xx 2 xx 3 xx 5) = 120 s `
`:.` After every 2 min, they toll together
`:.` Number of times they toll together in one
hour ` = ((60)/(2) + 1)` times
= 31 times
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