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Three electronic devices make a beep after 15 minutes, 20 minutes and 30 minutes respectively, they all beeped together at 2:00 pm noon. When will they beep together the next time?
1. 2:30 pm
2. 4:00 pm
3. 3:00pm
4. 5:00 pm

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Correct Answer - Option 3 : 3:00pm

Given:

Three electronic devices make a beep after 15 minutes, 20 minutes and 30 minutes respectively.

All beeped together at 2:00 pm noon.

Concept used:

In this type of question, you should take lcm of given data for next time meeting, beeping or anything.

Calculation:

LCM of 15, 20 and 30

15 = 3 × 5

20 = 22 × 5

30 = 2 × 3 × 5

LCM = 22 × 3 × 5 = 60

Next time they will together beep after 60 minutes.

(∵ 60 minutes = 1 hours)

∴ Next time they will together beep at 3:00 pm.

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