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06 Sep 2021, 01:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (00:48) correct
20%
(00:59)
wrong
based on 235
sessions
History
Date
Time
Result
Not Attempted Yet
06 Sep 2021, 02:35
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(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.
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.
asishron29181
Joined: 04 May 2020
Last visit: 04 Nov 2022
Posts: 185
Given Kudos: 68
Location: India
Schools: Great Lakes (I)
GMAT 1: 610 Q47 V27
WE:Programming (Computer Software)
06 Sep 2021, 04:12
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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
(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
