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Math Expert V
Joined: 02 Sep 2009
Posts: 56277
Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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2
4 00:00

Difficulty:   65% (hard)

Question Stats: 45% (01:09) correct 55% (01:04) wrong based on 132 sessions

### HideShow timer Statistics Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

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Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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2
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Bunuel wrote:
Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

The question essentially asks is $$x>0$$ i.e. positive

Statement 1: implies $$x=-y$$ or $$x=y$$. but we don't know what is the sign of $$y$$. Hence insufficient

Statement 2: this implies that either $$x$$ is positive or $$0$$ when $$y=0$$. Hence $$x^3$$ will either be positive or equal to $$0$$. Insufficient.

Combining 1 & 2, again we have either $$x>0$$ or $$x=0$$. Hence Insufficient

Option E

Originally posted by niks18 on 29 Sep 2017, 04:26.
Last edited by niks18 on 29 Sep 2017, 21:18, edited 1 time in total.
Intern  B
Joined: 27 Sep 2017
Posts: 14
Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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2
niks18 wrote:
Bunuel wrote:
Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

The question essentially asks is $$x>0$$ i.e. positive

Statement 1: implies $$x=-y$$ or $$x=y$$. but we don't know what is the sign of $$y$$. Hence insufficient

Statement 2: mod is always positive. hence $$x$$ must be positive for $$x=|y|$$ to hold true. Hence sufficient

Option B

I think it is wrong. because x can also be 0 in statement 2, which makes the statement insufficient.

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Intern  B
Joined: 27 Sep 2017
Posts: 14
Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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AlisherChaman wrote:
niks18 wrote:
Bunuel wrote:
Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

The question essentially asks is $$x>0$$ i.e. positive

Statement 1: implies $$x=-y$$ or $$x=y$$. but we don't know what is the sign of $$y$$. Hence insufficient

Statement 2: mod is always positive. hence $$x$$ must be positive for $$x=|y|$$ to hold true. Hence sufficient

Option B

I think it is wrong. because x can also be 0 in statement 2, which makes the statement insufficient.

Sent from my SM-J120H using GMAT Club Forum mobile app

Sent from my SM-J120H using GMAT Club Forum mobile app
Manager  B
Joined: 06 Aug 2017
Posts: 85
GMAT 1: 570 Q50 V18 GMAT 2: 610 Q49 V24 GMAT 3: 640 Q48 V29 Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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AlisherChaman wrote:
niks18 wrote:
Bunuel wrote:
Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

The question essentially asks is $$x>0$$ i.e. positive

Statement 1: implies $$x=-y$$ or $$x=y$$. but we don't know what is the sign of $$y$$. Hence insufficient

Statement 2: mod is always positive. hence $$x$$ must be positive for $$x=|y|$$ to hold true. Hence sufficient

Option B

I think it is wrong. because x can also be 0 in statement 2, which makes the statement insufficient.

Sent from my SM-J120H using GMAT Club Forum mobile app

Good observation Alisher.

I almost missed that and got dragged by the use of mod.
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Retired Moderator D
Joined: 25 Feb 2013
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Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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AlisherChaman wrote:
niks18 wrote:
Bunuel wrote:
Is x^3 > 0?

(1) (x + y)(x – y) = 0
(2) x = |y|

The question essentially asks is $$x>0$$ i.e. positive

Statement 1: implies $$x=-y$$ or $$x=y$$. but we don't know what is the sign of $$y$$. Hence insufficient

Statement 2: mod is always positive. hence $$x$$ must be positive for $$x=|y|$$ to hold true. Hence sufficient

Option B

I think it is wrong. because x can also be 0 in statement 2, which makes the statement insufficient.

Sent from my SM-J120H using GMAT Club Forum mobile app

Hi AlisherChaman

Yes agreed absolute value can be zero as x=|y| has a "V" shaped graph and at coordinate (0,0), both (x,y) will be 0. Thanks for pointing it out, I'll make the necessary changes Intern  B
Joined: 05 May 2017
Posts: 1
Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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It would be E, if you consider the possibility of zero.
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GMAT 1: 610 Q47 V28 Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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IMO E
1> X = -y OR x = y , we dont know what is y INSUFFICIENT
2> x=|y| , which implies x could be 0 or greater than 0 , but no definite answer

Combine both , no definite answer
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Re: Is x^3 > 0? (1) (x + y)(x – y) = 0 (2) x = |y|  [#permalink]

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