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Is z an integer?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135364 [0], given: 12691

Is z an integer? [#permalink]

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New post 20 Dec 2015, 04:27
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A
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E

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  15% (low)

Question Stats:

81% (00:35) correct 19% (00:42) wrong based on 59 sessions

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Kudos [?]: 135364 [0], given: 12691

Expert Post
Math Expert
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D
Joined: 02 Aug 2009
Posts: 5341

Kudos [?]: 6107 [0], given: 121

Re: Is z an integer? [#permalink]

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New post 20 Dec 2015, 04:30
Bunuel wrote:
Is z an integer?

(1) z/3 is an integer.

(2) z/2 is NOT an integer.


Hi,

(1) z/3 is an integer.
this clearly shows z is a int, which is multiple of 3.. suff

(2) z/2 is NOT an integer..
this only tells us that z is not a multiple of 2.. z could be 7 or 7/3.. and so on... insuff

ans A
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6107 [0], given: 121

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Joined: 25 Nov 2015
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Kudos [?]: 134 [0], given: 376

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Re: Is z an integer? [#permalink]

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New post 18 Oct 2017, 06:01
Statement 1- z/3 is an integer.
Therefore z will be an integer since z is a multiple of 3.
Statement 2- z/2 is not an integer implies z could be a fraction or z is not divisible by 2.
Not sufficient.

Answer A.
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Kudos [?]: 134 [0], given: 376

Re: Is z an integer?   [#permalink] 18 Oct 2017, 06:01
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Is z an integer?

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