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Five bells begin to toll together and toll respectively at i

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Manager
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Five bells begin to toll together and toll respectively at i [#permalink] New post 02 Dec 2009, 00:16
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Difficulty:

  55% (hard)

Question Stats:

65% (04:36) correct 35% (02:15) wrong based on 90 sessions
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. 14
C. 6
D. 7
E. 9
[Reveal] Spoiler: OA
Senior Manager
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Re: Five bells begin to toll together and toll respectively at i [#permalink] New post 02 Dec 2009, 00:26
kirankp 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)14
C)6
D)7
E)9


D-7
all bells will toll together once every 504seconds
Manager
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Re: Five bells begin to toll together and toll respectively at i [#permalink] New post 02 Dec 2009, 08:19
7 is right.

LCM of 6,7,8,9 and 12 = 504 so the bells will toll together after 504 sec i.e 3600/504 =7
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Re: Five bells begin to toll together and toll respectively at i [#permalink] New post 02 Dec 2009, 12:47
Agree with 7 ... LCM = \(2^33^27^1\) = 504
1 hour = 60 mins * 60 secs = 3600 secs
3600/504 = 7 and change
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Re: Five bells begin to toll together and toll respectively at i [#permalink] New post 09 Aug 2014, 12:08
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Re: Five bells begin to toll together and toll respectively at i [#permalink] New post 13 Aug 2014, 01:29
We require the LCM, however do not need the actual LCM Value

LCM = 2 * 3 * 2 * 6 * 7

\(Tolls = \frac{3600}{2 * 3 * 2 * 6 * 7} = \frac{50}{7} \approx{7}\)

Answer = D
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Re: Five bells begin to toll together and toll respectively at i   [#permalink] 13 Aug 2014, 01:29
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Five bells begin to toll together and toll respectively at i

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