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Re: If pq ≠ 0, is x an integer? [#permalink]
29 Aug 2004, 21:26

1

This post received KUDOS

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.

Re: If pq ≠ 0, is x an integer? [#permalink]
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.

Re: If pq ≠ 0, is x an integer? [#permalink]
23 Feb 2015, 11:41

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Re: If pq ≠ 0, is x an integer? [#permalink]
23 Feb 2015, 12:06

1

This post received KUDOS

Expert's post

ice t wrote:

If pq ≠ 0, is x an integer?

(1) x = 3p – 2q (2) p = q

The answer is straight E, without any algebra or number plugging.

If pq ≠ 0, is x an integer?

(1) x = 3p – 2q. So, we have that x is equal to some number (3p - 2q). We know nothing about p and q (other than neither of them is 0), hence we cannot determine whether it's an integer. Not sufficient.

(2) p = q. Clearly insufficient.

(1)+(2) x = 3p – 2q = 3p - 2p = p. And again we have that x is equal to some number p, which we know nothing about. Not sufficient.

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