GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 11:50

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 21 Mar 2013
Posts: 38
GMAT Date: 03-20-2014
What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2  [#permalink]

### Show Tags

06 Mar 2014, 23:17
2
11
00:00

Difficulty:

45% (medium)

Question Stats:

52% (01:06) correct 48% (01:09) wrong based on 307 sessions

### HideShow timer Statistics

What is the value of x?

(1) |x| = −x

(2) $$|x|^2$$ = −$$x^2$$
##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2  [#permalink]

### Show Tags

06 Mar 2014, 23:58
3
5
What is the value of x?

(1) |x| = −x. This implies that x is less than or equal to zero. Not sufficient.

(2) $$|x|^2= -x^2$$ --> $$x^2=-x^2$$ --> $$2x^2=0$$ --> $$x=0$$. Sufficient.

Answer: B.
_________________
##### General Discussion
CEO
Joined: 20 Mar 2014
Posts: 2597
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: What is the value of x? (1) |x|=−x  [#permalink]

### Show Tags

25 Oct 2015, 15:44
1
dina98 wrote:
What is the value of x?
(1) |x|=−x
(2) |x|^2=−x^2

I found this on the economist practice. I'm not sure how to solve it. Please help.

Please make sure to follow the posting guidelines (link in my signatures). Do remember to add the OA.

As for the question, x=?

Per statement 1, |x|=-x ---> x<0. Not sufficient.

Per statement 2, |x|^2=−x^2 ---> a positive quantity = negative quantity, only possible when x=0. Sufficient.

B is the correct answer.

Hope this helps.
Manager
Joined: 14 Jul 2014
Posts: 158
Location: United States
Schools: Duke '20 (D)
GMAT 1: 600 Q48 V27
GMAT 2: 720 Q50 V37
GPA: 3.2
Re: What is the value of x? (1) |x|=−x  [#permalink]

### Show Tags

25 Oct 2015, 15:57
Engr2012 wrote:

Per statement 1, |x|=-x ---> x<0. Not sufficient.

.

This statement threw me off. I can now see that x < 0. Thanks!
SVP
Joined: 06 Nov 2014
Posts: 1873
Re: What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2  [#permalink]

### Show Tags

25 Oct 2015, 20:44
dina98 wrote:
Engr2012 wrote:

Per statement 1, |x|=-x ---> x<0. Not sufficient.

.

This statement threw me off. I can now see that x < 0. Thanks!

Modulus of any value is always positive or is the absolute value

If a number is positive, we open the modulus by the positive sign
Eg: |5| = 5

If a number is negative, we open the modulus with a negative sign:
Eg: |-5| = - (-5)

In this case, since we are opening the modulus with a negative sign, the number should be less than 0
Retired Moderator
Joined: 05 Jul 2006
Posts: 1419
Re: What is the value of x?  [#permalink]

### Show Tags

14 Jan 2017, 08:26
roastedchips wrote:
(1) |x|=−x

(2) |x|2=−x2

Why is (B) the answer? Please explain! thanks!

FROM 1

x could be any -ve number or 0 ... insuff

from 2

am assuming it is a square sign in /x/^2 = -x^2

x^2 is +ve by default and so is /x/ thus for this to happen x must be = 0... suff

OR

/X/^2 = X^2 thus /x/^2 = -x^2 is = to x^2 = -x^2 thus 2x^2 = 0 thus surely x = 0

B
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2  [#permalink]

### Show Tags

14 Jan 2017, 09:47
roastedchips wrote:
What is the value of x?

(1) |x|=−x

(2) |x|^2=−x^2

Similar question: what-is-the-value-of-x-221441.html
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 13259
Re: What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2  [#permalink]

### Show Tags

22 Jun 2019, 23:27
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2   [#permalink] 22 Jun 2019, 23:27
Display posts from previous: Sort by

# What is the value of x? (1) |x|=−x (2) |x|^2 = −x^2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne