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Three electronic devices make a beep after every 48 seconds, 72 seconds and 108 seconds respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is
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- 10 : 07 : 12 hours
- 10 : 07 : 24 hours
- 10 : 07 : 36 hours
- 10 : 07 : 48 hours
Correct Option: A
Required time = LCM of 48, 72 and 108 seconds
∴ LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432 seconds = 7 minutes 12 second
∴ Required time = 10 a.m. + 7 minutes 12 second = 10 : 07 : 12 hours