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Multiple Choice Questions

Three electronic devices make a beep after every 48 sec 72 sec and 108 sec respectively They beeped ...........

Quantitative Aptitude (CGL) LCM, HCF

Three electronic devices make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

10:07:12 hrs

10:07:24 hrs

10:07:36 hrs

10:07:48 hrs

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Explanation:

First we find the least common multiple of the three electronic devices.
LCM of 48,72,108 is 432
The least common multiple of 48,72,108 is 432 seconds
Converting seconds into minutes
1s=1/60min
432s=432/60 min
432s=7.2 min
They beeped together at 10 a.m.
They will next make a beep together at the earliest is 10:07:02 am.
i.e. After 10 o'clock 7 minutes and 2 seconds it beep.

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