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# If x≠0, |x|/x=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4904
GPA: 3.82

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12 Dec 2016, 23:53
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Question Stats:

74% (00:34) correct 26% (00:31) wrong based on 152 sessions

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If x≠0, |x|/x=?

1) x<0
2) x=-1
[Reveal] Spoiler: OA

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Joined: 05 Sep 2016
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13 Dec 2016, 02:58
1
KUDOS
Here is my solution.
Question: $$\frac{|x|}{x}$$ =?

Statement 1: x<0

Hence the value for x would be -1,-2,-3....

$$\frac{|-1|}{-1}$$ = $$\frac{1}{-1}$$ = -1
Similary $$\frac{|-2|}{-2}$$ = $$\frac{2}{-2}$$ = -1

So for all values of x<0 it is -1. Sufficient

Statement 2: x=-1

Value of x given directly (same calculation as made in statement 1). Sufficient.

Hence D.
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Math Revolution GMAT Instructor
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15 Dec 2016, 00:11
==> If you modify the original condition and the question, you get |x|=-x (x<0). Thus, if x<0, you get |x|/x=-x/x=-1, so con 1) = con 2), and therefore the answer is D.

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15 Jan 2018, 03:26
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 x≠0, |x|/x=?   [#permalink] 15 Jan 2018, 03:26
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