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A temple has five bells which ring at the intervals of 12, 15, 16, 20 and 25 minutes respectively. If they ring together at midnight, then at what time next will they ring together?

A temple has five bells which ring at the intervals of 12, 15, 16, 20 and 25 minutes respectively. If they ring together at midnight, then at what time next will they ring together? Correct Answer 8:00 P.M.

L.C.M. of 12, 15, 16, 20 and 25

12 = 2 × 2 × 3

15 = 3 × 5

16 = 2 × 2 × 2 × 2

20 = 2 × 2 × 5

25 = 5 × 5

Hence, L.C.M. = 24 × 3 × 5 × 5 = 1200 minutes = 1200/60 = 20 hours

They will ring together again = 12 AM + 20 hours = 8 PM

∴ They will ring together again at 8 PM.

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