Alarms from 3 different clocks sound out after every 2, 4 and 6 hours, respectively. If all the clocks are started at the same time, how many times will the alarms ring together in a span of 3 days?
Alarms from 3 different clocks sound out after every 2, 4 and 6 hours, respectively. If all the clocks are started at the same time, how many times will the alarms ring together in a span of 3 days? Correct Answer 6
⇒ Time after which the 3 clocks will ring together = LCM (2, 4 and 6) = 12 hours
⇒ Total time = 3 days = 3 × 24 hours = 72 hours
⇒ Number of times the alarms will ring together = 72/12 = 6 times
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Feb 20, 2025