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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
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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:

25% (medium)

Question Stats:

70% (02:07) correct 30% (01:09) wrong based on 87 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.
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Kudos [?]: 82666 [1] , given: 10114

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

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25 Sep 2010, 04:35
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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.

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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.

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

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03 Jan 2014, 06:32
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Kindly update the answer in spoiler from C to E.
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Math Expert
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Re: If a and b are integers and a is not equal to b, is ab > [#permalink]

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03 Jan 2014, 06:35
PiyushK wrote:
Kindly update the answer in spoiler from C to E.

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

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03 Jan 2014, 12:04
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

very nice question !!

unfortunately i chose option C.
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Re: If a and b are integers and a is not equal to b, is ab >   [#permalink] 03 Jan 2014, 12:04
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