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Is xy < -10?

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Joined: 16 Nov 2013
Posts: 23
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Is xy < -10?  [#permalink]

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New post 29 Dec 2014, 04:03


  45% (medium)

Question Stats:

63% (00:49) correct 37% (00:47) wrong based on 68 sessions

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Is xy <-10?

(1) 2<x<4
(2) -5<y<-3

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Joined: 22 Oct 2014
Posts: 88
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE: General Management (Consulting)
Re: Is xy < -10?  [#permalink]

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New post 29 Dec 2014, 04:12
Without giving any information, the stem asks if xy is smaller than -10. We therefore cannot simplify or rephrase anything.

Statement 1: Is obviously not sufficient, as it doesn't tell us anything about y.

Statement 2: Is also not sufficient, as it does not provide any information on x.

Both statements together are also not sufficient. Note that there is a trap here. If you assume that x and y are both integers, the only possible values are \(x=3\) and \(y=-4\), in which case the statements are sufficient to say that xy is smaller than -10. However, as the stem does not tell us that x and y must be integers, they could also be \(x=2.1\) and \(y=-3.1\), in which case xy is greater than -10.

Answer E is correct.

\(\sqrt{-1}\) \(2^3\) \(\Sigma\) \(\pi\) ... and it was delicious!

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Re: Is xy < -10?  [#permalink]

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New post 23 Mar 2017, 01:00
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Re: Is xy < -10? &nbs [#permalink] 23 Mar 2017, 01:00
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