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in Aptitude by (144k points)

A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. Ifall the three bells ring at the same time at 8 o'clock in the morning, at what other time will they all ring together?  

(a) 12 : 40 hrs (b) 12 : 48 hrs (c) 12 : 56 hrs (d) 13 : 04 hrs

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Best answer

(b) LCM of 18, 24, 32

LCM of 9, 12, 16

LCM = 3 × 4 × 3 × 4

= 144 min

= 2 hrs 24 min

∴ Bell will ring together again after 2 × (2 hrs 24 min)

= 4 hrs. 48 min

i.e., 12 : 48 hrs

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