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Answer = A. The explanation in the MGMAT is a bit confusing though. It states that z is NOT divisible by 2, and because of this, it is not divisible by 6. However, this statement is SUFFICIENT.

Re: Divisibility Problem [#permalink]
08 Aug 2011, 08:25

But what you gave us to answer the question, the OA reveals the answer is A.... however, we don't even know what A is. You need to post the choices in the question as well A or B or C or D or E so that we can use elimination or consider the choices themselves _________________

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Re: Divisibility Problem [#permalink]
08 Aug 2011, 08:29

I must be missing something...

But here you go.

Answers=

A) Statement #1 is sufficient alone. B) Statement #2 is sufficient alone. C) Statement's #1 and #2 are sufficient when only put together. D) Statement's #1 and #2 are sufficient seperately on their own. E) Statement's #1 and #2 together are not sufficient.

Re: Divisibility Problem [#permalink]
08 Aug 2011, 08:34

2

This post received KUDOS

restore wrote:

Is the integer z divisible by 6?

1) The greatest common factor of z and 12 is 3. 2) The greatest common factor of z and 15 is 15.

statement 1 is sufficient, if GCF of z and 12 is 3, it means z is not divisible by 6. For if Z were divisible by 6 the GCF would not have been 3.

Statement 2 is not sufficient to answer the question. if GCF of z and 15 is 15, Z could be either 15 (or multiple of 15) or 30 (or multiple of 30). If z is 15 it is not divisible by 6 and if it is 30 it is divisible by 6. Insufficient.

Re: Is the integer z divisible by 6? 1) The greatest common [#permalink]
28 Nov 2013, 11:39

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Re: Is the integer z divisible by 6? [#permalink]
29 Nov 2013, 01:29

Expert's post

Is the integer z divisible by 6?

Realistic GMAT question would mention that z is a positive integer.

(1) The greatest common factor of z and 12 is 3 --> if z were divisible by 6 (for example 6, 12, 18, ...) then the GCF of z and 12 (which is also divisible by 6) would have been more than 3 (6 or 12) and since the GCF is 3 then z is not divisible by 6. Sufficient.

(2) The greatest common factor of z and 15 is 3 --> if z=3 then the answer is NO but if z=6 then the answer is YES. Two different answers, not sufficient.

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