Is the integer z divisible by 6? : GMAT Data Sufficiency (DS)
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# Is the integer z divisible by 6?

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Manager
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Is the integer z divisible by 6? [#permalink]

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08 Aug 2011, 06:56
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55% (hard)

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45% (01:57) correct 55% (00:59) wrong based on 93 sessions

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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.

[Reveal] Spoiler:
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-integer-z-divisible-by-128030.html
[Reveal] Spoiler: OA

Last edited by restore on 08 Aug 2011, 10:16, edited 1 time in total.
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08 Aug 2011, 07:35
A little hard to answer this one without the options A,B,C,D,E available
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08 Aug 2011, 07:50
It is straight from the MGMAT: Number Properties book. It's a Data Sufficiency problem.
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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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08 Aug 2011, 08:29
I must be missing something...

But here you go.

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.
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08 Aug 2011, 08:34
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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.

(A) correct.
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08 Aug 2011, 08:41

Hope this helps
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08 Aug 2011, 16:20
[quote="restore"]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.

[from 1

z has 3 in it but not 2 ............suff

from 2

15 = 3*5 thus z has 3,5 in it but we cant be sure that it has 2 or not because 15 is odd number
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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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Re: Is the integer z divisible by 6? [#permalink]

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29 Nov 2013, 01:29
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-integer-z-divisible-by-128030.html
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Re: Is the integer z divisible by 6?   [#permalink] 29 Nov 2013, 01:29
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