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# If 9 is a factor of 2x, then which of the following is not

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Director
Joined: 09 Aug 2006
Posts: 755
If 9 is a factor of 2x, then which of the following is not [#permalink]

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30 Nov 2007, 00:47
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If 9 is a factor of 2x, then which of the following is not an integer?

a) 6x/54 + 2x/3
b) (4x - 18)/9
c) (2x + 27)/9
d) (81 - 4x^2)/81
e) (2x - 3)/3

I got this correct but I still don't understand why. According to me, all can be integers. Your inputs? Thanks.
SVP
Joined: 05 Jul 2006
Posts: 1747

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30 Nov 2007, 01:31
If 9 is a factor of 2x, then which of the following is not an integer?

a) 6x/54 + 2x/3
b) (4x - 18)/9
c) (2x + 27)/9
d) (81 - 4x^2)/81
e) (2x - 3)/3

2x = 9k ie: x = 18k

All can be
Director
Joined: 09 Aug 2006
Posts: 755

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30 Nov 2007, 23:31
That's what I thought as well. According to Kaplan, answer is A.
CEO
Joined: 29 Mar 2007
Posts: 2560

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01 Dec 2007, 00:28
GK_Gmat wrote:
If 9 is a factor of 2x, then which of the following is not an integer?

a) 6x/54 + 2x/3
b) (4x - 18)/9
c) (2x + 27)/9
d) (81 - 4x^2)/81
e) (2x - 3)/3

I got this correct but I still don't understand why. According to me, all can be integers. Your inputs? Thanks.

Ya Im startin to not like Kaplan's math problems. The 800 book was ok in terms of word problems, but some just unnecessarily wierd. Not difficult, but easy to slip up on and just seemed a little off compared to OG, challenges, MGMAT, etc... somethin about em i dont particularly like.

Just make everything x=0 b/c 2(0)/9 = integer

If you put 0 in for any of these then it works. Or putting 9 works as well. I just used 0 as an extreme case.

Kaplan = sucky material
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