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

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VP
Joined: 25 Jun 2006
Posts: 1167
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if 9 is a factor of 2x, then which of the following may not [#permalink]

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30 Oct 2006, 22:21
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if 9 is a factor of 2x, then which of the following may not be an integer?

1. 6x/54 + 2x/3

2. (4x-18)/9

3. (2x + 27)/9

4. [81-4*(x^2)]/81

5. (2x-3)/3
Manager
Joined: 04 May 2006
Posts: 173
Location: paris
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Kudos [?]: 29 [0], given: 0

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30 Oct 2006, 23:12
Getting A
picking Number, x=6 and x=9
Other options ,except A, have no remainders
_________________

time is not on my side

Senior Manager
Joined: 01 Oct 2006
Posts: 496
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30 Oct 2006, 23:24
My pick is A..

Between 4 and 1
2x is a of 9 thus x must be multiple of 9/2 x^2 must be a multiple 81/4 ..thus 4*X^2 is multiple of 81 thus 4 is an integer

In one we have term 6x/54 =(2x*3)/(6*9)=k*3/6=k/2 this may or may not be an integer depending upon the value of K.
VP
Joined: 25 Jun 2006
Posts: 1167
Followers: 3

Kudos [?]: 157 [0], given: 0

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30 Oct 2006, 23:25
yup. OA is A.

It caught me because x may not be an integer. This is the key.
30 Oct 2006, 23:25
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