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If x≠0, |x|/x=?

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Math Revolution GMAT Instructor
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If x≠0, |x|/x=?  [#permalink]

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New post 13 Dec 2016, 00:53
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

75% (00:43) correct 25% (00:43) wrong based on 232 sessions

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If x≠0, |x|/x=?

1) x<0
2) x=-1

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Re: If x≠0, |x|/x=?  [#permalink]

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New post 13 Dec 2016, 03:58
1
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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Re: If x≠0, |x|/x=?  [#permalink]

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New post 15 Dec 2016, 01:11
==> 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.

Answer: D
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Re: If x≠0, |x|/x=?  [#permalink]

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New post 07 Mar 2018, 09:57
MathRevolution wrote:
If x≠0, |x|/x=?

1) x<0
2) x=-1


Given x≠0

Question: |x|/x=?

St 1 : x < 0

means x is negative number

Take any number say x = -2, we get |-2|/2=-1

Take x = -1/4, we get |-1/4|/-1/4= - 1......Sufficient

St 2 : x = -1.....Sufficient

(D)
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If x≠0, |x|/x=?  [#permalink]

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New post 08 Aug 2018, 10:12
If x≠0, |x|/x=?

1) x<0
So,|x|/x=-x/x=-1
Suff.

2) x=-1
So,|x|=1 (absolute value is positive)
|x|/x=1/-1=-1
Suff.

Answer.D
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Re: If x≠0, |x|/x=?  [#permalink]

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New post 08 Aug 2018, 22:41
1
MathRevolution wrote:
If x≠0, |x|/x=?

1) x<0
2) x=-1


Again a tricky question if one does not analyze the stem.

both the stmts give the answer C
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Re: If x≠0, |x|/x=? &nbs [#permalink] 08 Aug 2018, 22:41
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