NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 15:14 It is currently 26 Apr 2024, 15:14
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the value of |x| x ? (1) x 0 (2) |x| > 0

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619237 [6]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   06 Sep 2021, 01:30
1
Kudos
5
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

83% (00:48) correct 17% (00:57) wrong based on 186 sessions
Hide Show timer Statistics
What is the value of |x| − x ?

(1) x ≥ 0
(2) |x| > 0
ShowHide Answer
Official Answer
A
User avatar
B
Nis20
Manager
Manager
Joined: 01 Aug 2021
Status:Aim for the moon. If you miss, you may hit a star.
Posts: 50
Own Kudos [?]: 17 [3]
Given Kudos: 159
Location: India
GMAT 1: 530 Q36 V27
Send PM
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   06 Sep 2021, 02:35
3
Kudos
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

From (1):
X is 0 or Positive, so |X| will be either 0 or a positive integer X.
IF X=0 then, |X| − X = 0-0= 0
IF X=1 then, |X| − X= 1-1=0
So, for all positive integers, |X| − X will be 0.
Thus, (1) is sufficient.

From (2):
|X|>0 , so X could be any non-zero integer.
IF X=1 then, |X| − X= 1-1=0
IF X= -1 then, |X| − X= 1+1=2
So, |X| − X cannot be determined.
Thus, (2) is not sufficient.
User avatar
G
asishron29181
Manager
Manager
Joined: 04 May 2020
Posts: 185
Own Kudos [?]: 550 [1]
Given Kudos: 69
Location: India
Schools: Great Lakes (I)
GMAT 1: 610 Q47 V27
WE:Programming (Computer Software)
Send PM
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   06 Sep 2021, 04:12
1
Kudos
What is the value of |x| − x ?

(1) x ≥ 0

Let x = 0
|x| = 0
0 - 0 = 0

Let = 3
|x| =3
3-3=0
Same results.
Sufficient.

(2) |x| > 0

Let x = -2

|x| − x= 4

x=1
|x| − x=0

Two different results.
Not sufficient.

IMO A
User avatar
P
sumitkrocks
Director
Director
Joined: 02 Jul 2017
Posts: 659
Own Kudos [?]: 836 [1]
Given Kudos: 333
Location: India
Concentration: Strategy, Technology
Schools: IIMA PGPX'22 ISB'22 NUS '23 ESADE IESE '24 NTU
GMAT 1: 730 Q50 V39
GMAT 2: 710 Q50 V36
Send PM
Reviews Badge
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   06 Sep 2021, 05:15
1
Kudos
(A) is correct IMO

What is the value of |x| − x ?

Statement (1) x ≥ 0
since x ≥ 0 ; |x| = x
|x| − x = 0

Sufficient

Statement (2) |x| > 0
statement only tells x is not 0

Not sufficient
avatar
P
manish1708
Manager
Manager
Joined: 10 Aug 2016
Posts: 145
Own Kudos [?]: 269 [1]
Given Kudos: 61
Location: India
Send PM
GMAT ToolKit User
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   06 Sep 2021, 06:46
1
Kudos
Answer: A

What is the value of |x| − x ?

(1) x ≥ 0
=> |x| = x
=> |x| - x = 0
Sufficient.

(2) |x| > 0
=> x = x or -x
=> |x| - x = 0 or -2x
Insufficient.
User avatar
P
ostrick5465
Manager
Manager
Joined: 30 Jul 2019
Posts: 205
Own Kudos [?]: 185 [1]
Given Kudos: 68
Location: Viet Nam
WE:Education (Education)
Send PM
Reviews Badge
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   07 Sep 2021, 01:27
1
Kudos
What is the value of |x| − x ?

(1) x ≥ 0
if x ≥ 0 => x = |x| => |x| - x = 0
=> Suff

(2) |x| > 0
If x<0 => |x|-x = 2|x| (Ex: |-5| - (-5) = 10)
If x>0 => |x| - x = 0 (Ex: |5| - 5 = 0)
=> Insuff

=> Choice A
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   07 Sep 2021, 09:59
target what is value of |x| − x
#1
x ≥ 0
value of target would always be 0
sufficient
#2

|x| > 0
x may be +ve or -ve
value may be either 0 or >0
insufficient
option A is sufficient


Bunuel wrote:
What is the value of |x| − x ?

(1) x ≥ 0
(2) |x| > 0

Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink] New post   17 Nov 2022, 10:12
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.
GMAT Club Bot
gmatclubot
Re: What is the value of |x| x ? (1) x 0 (2) |x| > 0 [#permalink]
17 Nov 2022, 10:12
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions