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For positive integer n, is 12 a factor of n?

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Math Revolution GMAT Instructor
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For positive integer n, is 12 a factor of n? [#permalink]

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New post 11 May 2017, 00:24
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For positive integer n, is 12 a factor of n?

1) n is a factor of 48
2) n is a multiple of 24
[Reveal] Spoiler: OA

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Re: For positive integer n, is 12 a factor of n? [#permalink]

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New post 11 May 2017, 00:38
MathRevolution wrote:
For positive integer n, is 12 a factor of n?

1) n is a factor of 48
2) n is a multiple of 24


(1) n is a factor of 48.

If n=1 then 12 is not a factor of n.
If n=12 then 12 is a factor of n.

Insufficient.

(2) 24 is divisible by 12. Hence, n is divisible by 24 also divisible by 12. Sufficient.

The answer is B.
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Expert Post
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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Re: For positive integer n, is 12 a factor of n? [#permalink]

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New post 14 May 2017, 17:31
==> In the original condition, there is 1 variable. In order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), n=2 no, n=12 yes, hence it is not sufficient.
For con 2), n=24t(t=any positive integer), hence it is always yes and sufficient.

Therefore, the answer is B.
Answer: B
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Re: For positive integer n, is 12 a factor of n?   [#permalink] 14 May 2017, 17:31
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