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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.

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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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.

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]

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28 Nov 2013, 11:39

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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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