Question

15. Five bells begin to toll together and toll at intervals of 24, 40, 64 72 and 120 seconds After what interval to time
the toll again together?
A) 42 min
B) 36 min
C) 48 min
D) 54 min
​

Answer 1

Answer:

54 min

Step-by-step explanation:

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Answer 2

Given:

Intervals: 24, 40, 64 72 and 120 seconds

To find:

The time after which the bells toll together again

Solution:

The number of minutes after which the bells will toll together again is 48. (Option C)

The required time can be calculated by taking the lowest common multiple of the intervals.

The time will be obtained by taking the smallest common multiple of 24, 40, 64 72 and 120.

The LCM of 24, 40, 64 72 and 120=8×8×5×9

=64×45

=2880

Also, 60 seconds= 1 minute.

So, 2880/60=48 minutes

Therefore, the required minutes after which the bells will toll together again is 48.