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Is xy < 0?

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Is xy < 0?  [#permalink]

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New post 11 Jun 2016, 09:17
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Is xy < 0?

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

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

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Md. Abdur Rakib

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Re: Is xy < 0?  [#permalink]

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New post 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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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is xy < 0?  [#permalink]

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