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Question

# Four Bells toll together at 9:00 A.M .They toll after 7,8,11 and 12 seconds respectively . How many times will they toll together again in the next 3 hours?

A
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B
4
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C
5
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D
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Solution

## The correct option is C.5To find the interval at which all the four bells toll together, we will find the LCM of 7,8,11,12.27,8,11,1227,4,11,627,2,11,337,1,11,377,1,11,1111,1,11,11,1,1,1LCM = 2×2×2×3×7×11=1848 secondsNow,1 min =60 secondsTherefore, 1848 seconds = 184860=30.8Now, number of times it will toll together in 3 hours (180 mins) = 18030.8=5 (approx.)

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