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If pq ≠ 0, is x an integer?
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Updated on: 23 Feb 2015, 12:58
Question Stats:
81% (01:07) correct 19% (00:57) wrong based on 159 sessions
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If pq ≠ 0, is x an integer? (1) x = 3p – 2q (2) p = q
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Originally posted by ice t on 29 Aug 2004, 15:03.
Last edited by Bunuel on 23 Feb 2015, 12:58, edited 2 times in total.
Renamed the topic, edited the question and added the OA.



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Re: If pq ≠ 0, is x an integer?
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29 Aug 2004, 20:14
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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Re: If pq ≠ 0, is x an integer?
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29 Aug 2004, 22:26
1) x=3p2q
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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Re: If pq ≠ 0, is x an integer?
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30 Aug 2004, 05:42
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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Re: If pq ≠ 0, is x an integer?
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30 Aug 2004, 06:37
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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Re: If pq ≠ 0, is x an integer?
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30 Aug 2004, 09:17
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.



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Re: If pq ≠ 0, is x an integer?
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23 Feb 2015, 12:51
Hi All, This question is ultimately about integers vs. nonintegers and is perfect for TESTing VALUES. We're told that PQ is not equal to 0, which means that neither P nor Q can be 0. We're asked if X is an integer. This is a YES/NO question. Fact 1: X = 3P  2Q IF.... P=1 Q=1 X = 32 = 1 The answer to the question is YES. IF.... P=1/2 Q=1/2 X = 3/2  2/2 = 1/2 The answer to the question is NO. Fact 1 is INSUFFICIENT Fact 2: P=Q Both TESTs from above also fit this Fact. Fact 2 is INSUFFICIENT. Combined, we have the same two TESTs that fit both Facts. We have a YES and a NO answer. Combined, INSUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If pq ≠ 0, is x an integer?
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23 Feb 2015, 13:06
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. Answer: E.
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Re: If pq ≠ 0, is x an integer?
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16 Sep 2016, 16:57
Correct answer is E. Here's why:
(1) x = 3p – 2q
We have no indication of the values that p and q can take on; for all we know, both could be decimals or fractions  either way, this statement is INSUFFICIENT
(2) p = q
We have the same issue as in (1). INSUFFICIENT



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Re: If pq ≠ 0, is x an integer?
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10 Apr 2019, 09:19
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Re: If pq ≠ 0, is x an integer?
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