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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x

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Math Expert V
Joined: 02 Sep 2009
Posts: 55277
If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x  [#permalink]

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17 00:00

Difficulty:   25% (medium)

Question Stats: 66% (01:09) correct 34% (01:14) wrong based on 529 sessions

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If $$y ≠ 0$$, is $$|x| = 1$$ ?

(1) $$x = \frac{y}{|y|}$$

(2) $$|x| = -x$$

NEW question from GMAT® Quantitative Review 2019

(DS05986)

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Intern  B
Joined: 03 Apr 2018
Posts: 7
Re: If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x  [#permalink]

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A.

(1) If $$y > 0$$, then $$x = 1$$ [ positive number divided by its absolute value is 1 ]
If $$y < 0$$, then $$x = -1$$ [ negative number divided by its absolute value is -1 ]
In both cases, value of $$x$$ is either 1 or -1, so $$|x| = 1$$. SUFFICIENT.

(2) $$|x| = -x$$
This is true for all x less than or equal to 0. NOT SUFFICIENT.
VP  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1008
WE: Supply Chain Management (Energy and Utilities)
Re: If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x  [#permalink]

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Bunuel wrote:
If $$y ≠ 0$$, is $$|x| = 1$$ ?

(1) $$x = \frac{y}{|y|}$$

(2) $$|x| = -x$$

NEW question from GMAT® Quantitative Review 2019

(DS05986)

Question stem, is $$|x| = 1$$ ?

St1:- $$x = \frac{y}{|y|}$$
When y>0, $$x = \frac{y}{y}$$ (where y is non-negative and non-zero)
Or, x=1; so |x|=1

when y<0, $$x = \frac{y}{-y}$$
Or, x=-1; so |x|=1
Sufficient.

St2:- $$|x| = -x$$
Or, $$|x|+x=0$$
Or, $$x\leq0$$
Insufficient.

Ans. (A)
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Director  G
Joined: 19 Oct 2013
Posts: 514
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x  [#permalink]

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Bunuel wrote:
If $$y ≠ 0$$, is $$|x| = 1$$ ?

(1) $$x = \frac{y}{|y|}$$

(2) $$|x| = -x$$

NEW question from GMAT® Quantitative Review 2019

(DS05986)

From statement 1) x |y| = y

the only possible way for both sides to be equal if x = 0 or 1 or -1, however y cannot be zero.

so x is 1 or -1, sufficient.

From statement 2) |x| = -x

x can be 0 or -1

Two different answers.

Insufficient.

Answer choice A Re: If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x   [#permalink] 19 Oct 2018, 09:57
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# If y ≠ 0, is |x| = 1 ? (1) x = y/|y| (2) |x| = -x

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