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Is x an integer?

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Intern
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Is x an integer? [#permalink] New post 08 Dec 2005, 05:33
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:24) correct 17% (00:17) wrong based on 47 sessions
Is x an integer?

(1) \frac{x}{2} is an integer
(2) 2x is an integer

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Intern
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 [#permalink] New post 08 Dec 2005, 06:02
The answer is A.

Your contention that x could be 1/2 means that x/2 would be 1/4 and this is not an integer while they say that x/2 is an integer.

Thus, if x/2 is an integer, x has to be an integer as well and thus we have A as the answer.
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Doh! [#permalink] New post 08 Dec 2005, 06:08
You are right...it just clicked. Dumb mistake on my end. Dumb mistakes are my worse enemy!
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Re: Help with a problem [#permalink] New post 08 Dec 2005, 06:14
manta_ray wrote:
Here is a DS question (Question 28 in the GMAT Review Official Guide 11th edition):

Is x an integer?

(1) x/2 is an integer

(2) 2x is an integer

My answer was E, neither is sufficient.

My rationale:
For (1) x could be 1/2 which would make x/2 an integer or x could be 4 which would make x/2 an integer

For (2) x could be 1/2 or 4 causing 2x to be an integer.

In both cases x could be an integer or a fraction. Therefore neither (1) nor (2) is sufficient for answering the question.

BUT in the answer guide the answer is A. Can someone please shed light on why the answer is A. The explaination is a poor one in the book I'm using.

Thanks!
CM

For x=1/2 x/2=1/4 I think Try to check with calculator :wink:
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Re: OG 11th DS Question #28 [#permalink] New post 06 Feb 2008, 00:02
lmshaw wrote:
Hey guys, I am confused at this DS question...hope u can help clarify it for me.

#28 pg. 280
Is x an integer?
(1) x/2 is an integer
(2) 2x is an integer

The answer is A.

So you can plug in 6 for x, and that will satisfy statement 1. But can't you also plug in 3/2 for x? The answer will be 3, which will still satisfy statement 1. So if x can both be an integer and non-integer, A can't be the answer right?

I don't know...it's past midnight here. Maybe I'm just getting delirious...??


plugging 3/2 in a will give 3/4 (since its x/2), which is not an integer. The answer should be (A)
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Re: OG 11th DS Question #28 [#permalink] New post 06 Feb 2008, 00:09
oh god you're right! i am delirious. thanks!
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Re: OG 11th DS Question #28 [#permalink] New post 06 Feb 2008, 04:53
lmshaw wrote:
Hey guys, I am confused at this DS question...hope u can help clarify it for me.

#28 pg. 280
Is x an integer?
(1) x/2 is an integer
(2) 2x is an integer

The answer is A.

So you can plug in 6 for x, and that will satisfy statement 1. But can't you also plug in 3/2 for x? The answer will be 3, which will still satisfy statement 1. So if x can both be an integer and non-integer, A can't be the answer right?

I don't know...it's past midnight here. Maybe I'm just getting delirious...??

we always want the minimum values for the numerator in divisibility questions. the min of x/2 is 2. all numerators will be multiples of 2 so x is an integer.
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Re: OG 11th DS Question #28   [#permalink] 06 Feb 2008, 04:53
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Is x an integer? tpass001 2 15 Apr 2005, 12:52
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