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# Is xy < 0?

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Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 537
GPA: 2.81

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11 Jun 2016, 09:17
2
4
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:49) correct 32% (00:53) wrong based on 90 sessions

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Is xy < 0?

(1)$$x^2y$$ < 0

(2) $$x^3y$$ < 0

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Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

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Joined: 02 Aug 2009
Posts: 7108
Re: Is xy < 0?  [#permalink]

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11 Jun 2016, 09:24
AbdurRakib wrote:
Is xy < 0?

(1)$$x^2y$$ < 0

(2) $$x^3y$$ < 0

The answer will be YES if x and y are of SAME sign
and NO, if x and y are of DIFFERENT signs..

lets check statements..

(1)$$x^2y$$ < 0
We can say that y is -ive..
but we cannot say anything about x, it could be + or -ive..
Insuff

(2) $$x^3y$$ < 0
since both x and y are of ODD power and their product is <0, we can say that both x and y are of OPPOSITE sign
so ans will be YES
Suff

B
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Re: Is xy < 0?  [#permalink]

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11 Jun 2016, 13:04
XY<0
1) (X^2)Y<0
then x^2 will always be positive and if the result is negative then y must be <0. but nothis can be said about xy<0, as x xan be >or < 0 both.
so, insufficient.
2)(x^3)y<0. it will be possible if x^3<0 and y>0 (x <0 and y>0)or x^3>0 and y<0 (x>0 and y<0).
so, xy <0 , statement sufficient.
Hence B.
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Re: Is xy < 0?  [#permalink]

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27 Sep 2018, 05:34
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Re: Is xy < 0? &nbs [#permalink] 27 Sep 2018, 05:34
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