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# If a, b, and c are integers and a*b^2/c is a positive even

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Manager
Joined: 25 Jul 2010
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If a, b, and c are integers and a*b^2/c is a positive even [#permalink]

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26 Sep 2010, 13:04
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58% (02:07) correct 42% (01:16) wrong based on 471 sessions

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If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?

I. ab is even
II. ab > 0
III. c is even

A. I only
B. II only
C. I and II
D. I and III
E. I, II, and III
[Reveal] Spoiler: OA
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26 Sep 2010, 13:43
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Orange08 wrote:
If a , b, and c are integers and $$a*b^2/c$$is a positive even integer, which of the following must
be true?

I. ab is even
II. ab > 0
III. c is even

I only
II only
I and II
I and III
I, II, and III

Given: $$\frac{a*b^2}{c}=even>0$$ --> $$ab^2=c*even=even$$ --> either $$a$$ is even or $$b$$ or both.

I. $$ab$$ is even --> according to the above this must be true;

II. $$ab>0$$ --> not necessarily true, $$b$$ could be positive as well as negative (for example $$a=1$$, $$c=1$$ and $$b=-2$$);

III. $$c$$ is even --> not necessarily true, see above example.

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28 Sep 2010, 07:22
Two ways this can happen: 1- Even/ Even= Even or 2- Even/Odd= Even
So Ab MUST be even, with either A or B being even, Ab does not have to be positive, as B could be negative and once it is raised to 2 it becomes positive again, and of course, C could be Odd or Even as described above.

I only.letter A
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Re: If a, b, and c are integers and a*b^2/c is a positive even [#permalink]

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21 Sep 2013, 05:58
Hello from the GMAT Club BumpBot!

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Re: If a, b, and c are integers and a*b^2/c is a positive even [#permalink]

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09 Nov 2014, 18:46
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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Joined: 09 Sep 2013
Posts: 11068
Followers: 511

Kudos [?]: 134 [0], given: 0

Re: If a, b, and c are integers and a*b^2/c is a positive even [#permalink]

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22 Jan 2016, 01:49
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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Re: If a, b, and c are integers and a*b^2/c is a positive even   [#permalink] 22 Jan 2016, 01:49
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