GATE EE 2022 Set 1 — Question 3
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Question
Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes.If all the three bells are rung at 12:00 PM, when will the three bells ring together again the next time?
Correct answer
(A) 5:00 PM
Solution
To find when the bells ring together again, we need to find the Least Common Multiple (LCM) of their ringing intervals: 20, 30, and 50 minutes.
minutes.
hours.
If they first rang together at 12:00 PM, they will ring together again 5 hours later, which is 5:00 PM.
minutes.
hours.
If they first rang together at 12:00 PM, they will ring together again 5 hours later, which is 5:00 PM.
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