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# Is x an integer? (1) x/2 is an integer (2) 2x is an integer

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Re: Is x an integer? (1) x/2 is an integer (2) 2x is an integer [#permalink]
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boomtangboy wrote:
Is x an integer?

(1) x/2 is an integer
(2) 2x is an integer

I used a fraction (4/2) in A to prove that X is not an integer but OA is different

For these integer questions, we can always set the integer equal to $$i$$, where $$i$$ represents any integer (or positive integer to test values).

Statement 1:
$$x/2 = i$$, $$x = 2*i$$. Thus x is double of any integer, which is still an integer. Then x must be an integer. Sufficient.

Statement 2:
$$2x = i$$, $$x = i/2$$. Thus x is half of any integer, which doesn't always result in an integer. Then x isn't always an integer, insufficient.

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Re: Is x an integer? (1) x/2 is an integer (2) 2x is an integer [#permalink]
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Re: Is x an integer? (1) x/2 is an integer (2) 2x is an integer [#permalink]
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