Free Practice Question
PS · Problem Solving
sub-505
Absolute Values/Modules
Given that |x + y| = |x - y|, what must be the value of xy?
Answer Choices
Correct answer marked belowA
1
B
-1
0
Correct
D
2
E
-2
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
When we have |x + y| = |x - y|, we can square both sides to eliminate the absolute values: . This expands to…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
M
MirzebeyevaSep 3, 2024
this helped me
T
TamAug 2, 2024
Can someone explain it other way?
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
sub-505
Type
PS
Category