Free Practice Question
PS · Problem Solving
555-605
Absolute Values/Modules
Determine the largest integer value of x such that |x| is greater than x.
Answer Choices
Correct answer marked belowA
-5
-1
Correct
C
1
D
5
E
None of the above
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Explanation
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Official Explanation
Official
To find the largest integer x for which |x| > x, we analyze the inequality.
The expression |x| > x holds true when x is negative. For negative integers, we can test the options:
(A) -5: |-5| > -5, which is true;
(B) -1: |-1| > -1, which is also true;…
The expression |x| > x holds true when x is negative. For negative integers, we can test the options:
(A) -5: |-5| > -5, which is true;
(B) -1: |-1| > -1, which is also true;…
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Comments
2
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A
ABHISHEKApr 21, 2025
Tricky wording but good practice
R
RajeshAug 12, 2024
Great
What this question tests
What it tests
Your ability to solve absolute-value equations and inequalities by considering both cases.
Common trap
Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.
Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
All Quant guidesDetails
Difficulty
555-605
Type
PS
Category