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Five bells begin to toll together and toll respectively at intervals

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Bunuel
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Five bells begin to toll together and toll respectively at intervals [#permalink] New post   07 Nov 2019, 01:33
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71% (02:03) correct 29% (02:30) wrong based on 204 sessions
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Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. How many times they will toll together in one hour?

A. 5
B. 6
C. 7
D. 9
E. 14

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C
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LevanKhukhunashvili
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Re: Five bells begin to toll together and toll respectively at intervals [#permalink] New post   16 Jan 2020, 06:48
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Maybe we have to mention somewhere that the very first toll (when the bells begin to toll) is not considered
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Re: Five bells begin to toll together and toll respectively at intervals [#permalink] New post   07 Nov 2019, 09:04
Bunuel wrote:
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. How many times they will toll together in one hour?

A. 5
B. 6
C. 7
D. 9
E. 14

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LCM of 6,7,8,9,12 = 504
in 1 hr we have 3600 seconds = 3600/504 ~ 7 times
IMO C
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Re: Five bells begin to toll together and toll respectively at intervals [#permalink] New post   12 Nov 2019, 20:23
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Bunuel wrote:
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. How many times they will toll together in one hour?

A. 5
B. 6
C. 7
D. 9
E. 14

Are You Up For the Challenge: 700 Level Questions


Since the LCM of 6, 7, 8, 9, and 12 is:

2^3 x 3^2 x 7 = 504, the balls will toll together every 504 seconds. Since there are 3600 seconds in an hour, the number of times they will roll together in an hour is 3600/504 = 7 plus remainder, so the answer is 7.

Answer: C
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Re: Five bells begin to toll together and toll respectively at intervals [#permalink] New post   04 Feb 2021, 18:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Five bells begin to toll together and toll respectively at intervals [#permalink]
04 Feb 2021, 18:29
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