Question

Six bells commence ringing together at intervals of 2,4,6,8,10 and 12 second respectively. In 30
minutes how may times do they ring together?

Answer 1

Answer :-

16

Explanation :-

The Least Common Multiple (LCM) Of 2, 4, 6, 8, 10, And 12 Is 120. Thus, The Bells Toll Together Every 120 Seconds (Or 2 Minutes), So In 30 Minutes They Will Toll Simultaneously 30/2 = 15 Times. However, Since They Commence Tolling Together At The Beginning (i.e., They Are Tolling Together At The 0 Second Or The 0 Minute), We Need To Add 1 To 15 And Thus, They Toll Together A Total Of 16 Times.

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