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

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If a, b, and c are integers and a*b^2/c is a positive even [#permalink] New post 26 Sep 2010, 12:04
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B
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D
E

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63% (02:08) correct 37% (01:40) wrong based on 142 sessions
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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Re: ab^2/c is even? [#permalink] New post 26 Sep 2010, 12:43
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Orange08 wrote:
If a , b, and c are integers and a*b^2/cis 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.

Answer: A (I only).

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Re: ab^2/c is even? [#permalink] New post 28 Sep 2010, 06:22
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] New post 21 Sep 2013, 04:58
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] 21 Sep 2013, 04:58
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