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Is integer y is divisible by 24?

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Is integer y is divisible by 24? [#permalink] New post 24 Jul 2014, 06:54
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69% (01:25) correct 31% (00:24) wrong based on 61 sessions
Is integer y is divisible by 24?

1) y is divisible by 6.

2) y is divisible by 4.
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Re: Is integer y is divisible by 24? [#permalink] New post 24 Jul 2014, 07:58
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Re: Is integer y is divisible by 24? [#permalink] New post 23 Sep 2014, 22:21
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If y divisible by 24. The rule says if number is divisible by all factors of other number the last number is a factor of the first
So, 24=3*2*2*2

S1. y is divisible by 6, which 3*2. Do not know about 2*2. Not sufficient

S2. y is divisible by 4, which 2*2. Do not know about 3*2. Not sufficient

S1+S2 says that y divisible by 3*2 and 2*2. Trick is that it is enough to be 3*2*2=12 to be divisible by 4 and 6 but not enough to be divisible by 24. But if we have 3*2*2*2=24 it is enough for all. Not sufficient

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Re: Is integer y is divisible by 24? [#permalink] New post 26 Sep 2014, 13:04
using factors :

Rule: y must have all factors of 24 (1,24,2,12,3,8,4,6)

stmt 1: factors of 6 are 1,6,2,3 - not same as factors of 24, Insufficient

stmt2 : factors of 4 are 1,4,2 - not same as factors of 24, insufficient

1 and 2 together

1,6,2,3,4 - does not contain all factors of 24. insufficient


+1 kudos if you like the solution.
Re: Is integer y is divisible by 24?   [#permalink] 26 Sep 2014, 13:04
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