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A combined school with elementary and junior high schools has bells ri

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A combined school with elementary and junior high schools has bells ri [#permalink] New post   16 Dec 2021, 03:08
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A combined school with elementary and junior high schools has bells ringing at different intervals for the elementary and junior high school. The junior high bell rings every 60 minutes, while the elementary bell rings every 40 minutes. If the bells ring simultaneously at 8:00 a.m., what is the total number of times the bells will ring simultaneously between 8:00 a.m. and 4:00 p.m. inclusive?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
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D
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A combined school with elementary and junior high schools has bells ri [#permalink] New post   16 Dec 2021, 07:38
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Junior bell every \(60\) mins & Senior bell every \(40\) mins

Both rang simultaneously at \(8:00\) am

Both bell will now ring every \(120\) (LCM of \(60\) & \(40\)) mins simultaneously

Timings are: 8:00 am, 10:00 am, 12:00 pm, 2:00 pm, 4:00 pm

Total it will ring \(5\) times simultaneously.

Answer \(D\)
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A combined school with elementary and junior high schools has bells ri [#permalink]
16 Dec 2021, 07:38
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