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# If a and b are integers and a is not equal to b, is ab >

Author Message
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 26 Nov 2009
Posts: 951
Location: Singapore
Concentration: General Management, Finance
Schools: Chicago Booth - Class of 2015
If a and b are integers and a is not equal to b, is ab > [#permalink]

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02 Aug 2010, 02:24
00:00

Difficulty:

55% (hard)

Question Stats:

77% (00:45) correct 23% (00:19) wrong based on 29 sessions

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If a and b are integers and a is not equal to b, is ab > 0?

(1) a^b > 0
(2) a^b is a non-zero integer

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-a-and-b-a ... 01661.html
[Reveal] Spoiler: OA
Manager
Joined: 16 Apr 2010
Posts: 211
Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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02 Aug 2010, 02:46
Hi,

Statement 1 is not sufficient:
Example
a=2, b=4 a^b>0 and ab>0
a=-2, b=4 a^b>0 and ab<0

Statement 2 again is not sufficient since no information is given (just that a^b is a non zero integer).

Taking both statements together, again is not sufficient.

regards,
Jack
VP
Joined: 15 Jul 2004
Posts: 1437
Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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02 Aug 2010, 05:04
Its E for me as well...
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 26 Nov 2009
Posts: 951
Location: Singapore
Concentration: General Management, Finance
Schools: Chicago Booth - Class of 2015
Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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02 Aug 2010, 06:38
Awesome !

jakolik wrote:
Hi,

Statement 1 is not sufficient:
Example
a=2, b=4 a^b>0 and ab>0
a=-2, b=4 a^b>0 and ab<0

Statement 2 again is not sufficient since no information is given (just that a^b is a non zero integer).

Taking both statements together, again is not sufficient.

regards,
Jack
Math Expert
Joined: 02 Sep 2009
Posts: 43831
Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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14 Aug 2017, 01:11
nusmavrik wrote:
If a and b are integers and a is not equal to b, is ab > 0?

(1) a^b > 0
(2) a^b is a non-zero integer

Is $$ab>0$$? Question basically asks whether $$a$$ and $$b$$ are both positive or both negative.

(1) $$a^b>0$$ --> both $$a$$ and $$b$$ could be positive as well as $$a$$ could be positive and $$b$$ negative. Not sufficient.

(2) a^b is a non-zero integer --> if $$a=1$$ and $$b=-1$$ answer would be NO but if $$a=1$$ and $$b=2$$ answer would be YES. Not sufficient.

(1)+(2) Example from (2) is still valid. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-a-and-b-a ... 01661.html
_________________
Re: If a and b are integers and a is not equal to b, is ab >   [#permalink] 14 Aug 2017, 01:11
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