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if pq does not equal 0, is x an integer? 1) x=3p-2q 2) p=q

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if pq does not equal 0, is x an integer? 1) x=3p-2q 2) p=q [#permalink] New post 29 Aug 2004, 14:03
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C
D
E

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if pq does not equal 0, is x an integer?

1) x=3p-2q

2) p=q

no clue
Senior Manager
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 [#permalink] New post 29 Aug 2004, 19:14
I'd go E almost instantly.

If p = q = .1, x is not integer
If p = q = 1, x is integer
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 [#permalink] New post 29 Aug 2004, 21:26
1) x=3p-2q

2) p=q

(1) not sufficient. P and Q could be fractions, and the operation of x could result in some fraction as well.
(2) not sufficient. Same reason as above.

(1) and (2) put together doesn't tell us anything more than we already know.

So (E).
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 [#permalink] New post 30 Aug 2004, 04:42
I would choose E too.

p and q could be fractions like p = 1/2 and q = 5/7 or they both could be integers.

Regards,

Alex
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 [#permalink] New post 30 Aug 2004, 05:37
actually this is from one of the paper tests and it gives the answer as A which makes no sense to me.

???
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 [#permalink] New post 30 Aug 2004, 08:17
nope, E. Definately. The best we can get to is combining them together and seeing that x = p = q. But since we don't know what they are, just that their not zero, it's got to be E.
  [#permalink] 30 Aug 2004, 08:17
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if pq does not equal 0, is x an integer? 1) x=3p-2q 2) p=q

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