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17 Apr 2023, 07:45
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:06) correct
23%
(01:07)
wrong
based on 40
sessions
History
Date
Time
Result
Not Attempted Yet
Is |x| > 2 ?
(1) x > 2
(2) x(x - 2) > 0
(1) x > 2
(2) x(x - 2) > 0
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
17 Apr 2023, 10:09
Kudos
Bookmarks
Bunuel
Solution:
Pre Analysis:
- We are asked if \(|x|>2\) or if \(x > 2\) or \(x < -2\) or not
Statement 1: \(x > 2\)
- If x > 2, then we can be sure that \(|x|>2\)
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: x(x - 2) > 0
- \(x(x - 2) > 0\) means the range of x is either \(x<0\) or \(x>2\)
- If \(x=3\), then \(|x|>2\)
- If \(x=-1\), then \(|x|<2\)
- Thus, statement 2 alone is not sufficient
Hence the right answer is Option A
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