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# a*b#0. Is |a|/|b|=a/b?

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Manager
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12 Feb 2012, 22:00
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Difficulty:

35% (medium)

Question Stats:

65% (01:01) correct 35% (01:16) wrong based on 217 sessions

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a*b#0. Is |a|/|b|=a/b?

(1) |a*b|=a*b
(2) |a|/|b|=|a/b|
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Dec 2012, 02:52, edited 3 times in total.
Edited the question and OA

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12 Feb 2012, 22:05
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devinawilliam83 wrote:
a*b#0. Is |a|/|b|=a/b?
(1) |a*b|=a*b
(2) |a|/|b|=|a/b|

the OA is D, how is 2 sufficient to answer the question?

It's not. You're right answer is A, not D.

a*b#0. Is |a|/|b|=a/b?

|a|/|b|=a/b is true if and only a and b have the same sign, meaning a/b is positive.

(1) |a*b|=a*b, means a and b are both positive or both negative, as LHS is never negative (well in this case LHS is positive as neither a nor b equals to zero). So, a/b is positive in any case. Hence |a|/|b|=a/b. Sufficient.

(2) |a|/|b|=|a/b|, from this we can not conclude whether they have the same sign or not: consider a=1, b=1 and a=1, b=-1 to see that these two sets give different answer to the question. Not sufficient.

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11 Nov 2014, 19:57
Hello from the GMAT Club BumpBot!

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10 Nov 2016, 09:49
Hello from the GMAT Club BumpBot!

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04 Jan 2017, 11:42
The way I look at this question is whether a & b are both positives. This is a sign (+ -) question, since + / + = + , a/b need to be both positive.

1) gives us the clue.
2) does not tell us about the signs
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Re: a*b#0. Is |a|/|b|=a/b?   [#permalink] 04 Jan 2017, 11:42
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