Last visit was: 24 Jul 2024, 15:34 It is currently 24 Jul 2024, 15:34
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Is xy > 0? (1) x^2 > 0 (2) xy^2 > 0

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94609
Own Kudos [?]: 643639 [0]
Given Kudos: 86737
Manager
Joined: 01 Mar 2014
Posts: 97
Own Kudos [?]: 33 [1]
Given Kudos: 616
Schools: Tepper '18
Retired Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2091
Own Kudos [?]: 8992 [0]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Retired Moderator
Joined: 19 Mar 2014
Posts: 815
Own Kudos [?]: 981 [0]
Given Kudos: 199
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: Is xy > 0? (1) x^2 > 0 (2) xy^2 > 0 [#permalink]
Is xy > 0?

(1) x^2 > 0

Which means x can be POSITIVE or x can be NEGATIVE, also we do not know anything about y =====> Hence (1) is Not Sufficient

(2) xy^2 > 0

Which means x is POSITIVE, however, this still does not tell us if y is positive or negative =====> Hence (2) is Not Sufficient

Now lets combine (1) & (2)

We know that x is positive and still we are not aware of y is POSITIVE or NEGATIVE.

Manager
Joined: 05 Nov 2014
Posts: 79
Own Kudos [?]: 83 [0]
Given Kudos: 113
Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
GPA: 3.75
Re: Is xy > 0? (1) x^2 > 0 (2) xy^2 > 0 [#permalink]
Bunuel wrote:
Is xy > 0?

(1) x^2 > 0

(2) xy^2 > 0

Solution:

Statement 1: no iformation about y. and x can be +ve or -ve. Insufficient.
Statement 2: xy can be +ve or -ve. Example x =-3 and y=3 or =3 and y=3. Insufficient.

Combining,
We dont get any new information.
Therefore it is E
Retired Moderator
Joined: 22 Aug 2013
Posts: 1181
Own Kudos [?]: 2555 [0]
Given Kudos: 459
Location: India
Re: Is xy > 0? (1) x^2 > 0 (2) xy^2 > 0 [#permalink]
Statement 1. x^2 > 0, it means x could be any number except 0. Insufficient.

Statement 2. xy^2 > 0, it means x must be > 0, but we don't know anything about y. Insufficient.

Combining the two statements: we get that x > 0, but we still don't know anything about y. So we can't say whether product of x and y will be > 0 or < 0. Insufficient still.