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

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Intern
Joined: 27 Jun 2010
Posts: 42

Kudos [?]: 166 [0], given: 7

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

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25 Sep 2010, 04:19
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Difficulty:

35% (medium)

Question Stats:

70% (01:06) correct 30% (01:15) wrong based on 138 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Jan 2014, 06:34, edited 1 time in total.
Edited the OA.

Kudos [?]: 166 [0], given: 7

Math Expert
Joined: 02 Sep 2009
Posts: 41894

Kudos [?]: 129130 [1], given: 12194

Re: The Power of Absolutes - Manhattan Challenge Problem [#permalink]

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25 Sep 2010, 04:35
1
KUDOS
Expert's post
sachinrelan 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

I got the answer E is the answer Correct as i dnt have the official answer to this question

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.

_________________

Kudos [?]: 129130 [1], given: 12194

Intern
Joined: 27 Jun 2010
Posts: 42

Kudos [?]: 166 [0], given: 7

Re: The Power of Absolutes - Manhattan Challenge Problem [#permalink]

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25 Sep 2010, 04:48
Bunuel wrote:
sachinrelan 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

I got the answer E is the answer Correct as i dnt have the official answer to this question

Is $$ab>0$$? Question basically asks are $$a$$ and $$b$$ 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.

Kudos [?]: 166 [0], given: 7

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Joined: 09 Sep 2013
Posts: 16590

Kudos [?]: 273 [0], given: 0

Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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29 May 2017, 07:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 273 [0], given: 0

Re: If a and b are integers and a is not equal to b, is ab >   [#permalink] 29 May 2017, 07:28
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