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If q is an integer, is q odd? (1) q/3 is an integer. (2) 3q is an int

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Math Expert
Joined: 02 Sep 2009
Posts: 44655
If q is an integer, is q odd? (1) q/3 is an integer. (2) 3q is an int [#permalink]

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28 Dec 2017, 21:56
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25% (medium)

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86% (00:44) correct 14% (00:42) wrong based on 21 sessions

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If q is an integer, is q odd?

(1) q/3 is an integer.
(2) 3q is an integer
[Reveal] Spoiler: OA

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Joined: 24 Nov 2016
Posts: 148
Re: If q is an integer, is q odd? (1) q/3 is an integer. (2) 3q is an int [#permalink]

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29 Dec 2017, 03:44
Bunuel wrote:
If q is an integer, is q odd?

(1) q/3 is an integer.
(2) 3q is an integer

(1) q/3 is an integer. Then, $$q/3\frac{6}{3}=integer$$ and $$q=even$$ or, $$q/3\frac{9}{3}=integer$$ and $$q=odd$$; insufficient.

(2) 3q is an integer. Then, $$q$$ could be anything; insufficient.

(1)+(2). We cannot determine with both info what $$q$$ is; insufficient.

(E) is the answer.
Re: If q is an integer, is q odd? (1) q/3 is an integer. (2) 3q is an int   [#permalink] 29 Dec 2017, 03:44
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If q is an integer, is q odd? (1) q/3 is an integer. (2) 3q is an int

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