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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]
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.