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Two school bells ring together at 8:00 AM. One rings every 32 minutes and the other every 40 minutes. When will they ring together again?
  1. 9:20 AM
  2. 10:40 AM
  3. 11:20 AM
  4. None of these
Explanation

To find when both bells ring together again we find LCM of 32 and 40.

LCM means Least Common Multiple, the smallest time after which both match.

List multiples of 32: 32, 64, 96, 128, 160, 192

List multiples of 40: 40, 80, 120, 160, 200

First common number is 160

So both bells ring together after 160 minutes

160 minutes = 2 hours 40 minutes

8:00 AM + 2 hours 40 minutes = 10:40 AM


Last verified on 25-06-2026

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