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Six bells commence tolling together and toll at intervals of 2, 4, 6,

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Status: GMAT Date: 10/08/15
Joined: 17 Jul 2014
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Location: United States (MA)
Concentration: Human Resources, Strategy
GMAT 1: 640 Q48 V35
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Six bells commence tolling together and toll at intervals of 2, 4, 6,  [#permalink]

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New post 27 Apr 2015, 07:52
2
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00:00
A
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Difficulty:

  95% (hard)

Question Stats:

39% (01:48) correct 61% (01:52) wrong based on 111 sessions

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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

a) 10
b) 12
c) 15
d) 16
e) 4

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aimtoteach


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Re: Six bells commence tolling together and toll at intervals of 2, 4, 6,  [#permalink]

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New post 27 Apr 2015, 10:58
2
1
LCM of 2, 4, 6, 8 10 and 12 is 120.

So, after each 120 seconds, they would toll together.

Hence, in 30 minutes, they would toll 30*60 seconds / 120 seconds = 15 times

But then the question says they commence tolling together. So, they basically also toll at the "beginning" ("0" second).

So, total tolls together = 15+1 = 16
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Six bells commence tolling together and toll at intervals of 2, 4, 6,  [#permalink]

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New post 09 Aug 2018, 01:38
aimtoteach wrote:
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

a) 10
b) 12
c) 15
d) 16
e) 4



L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes, they will toll together (30/2) + 1 = 16 times.
2
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Six bells commence tolling together and toll at intervals of 2, 4, 6, &nbs [#permalink] 09 Aug 2018, 01:38
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Six bells commence tolling together and toll at intervals of 2, 4, 6,

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