Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
Given that |x + 4| = 10 and |y + 3| = 6, what is the maximum value of the product xy?
Answer Choices
Correct answer marked belowA
18
B
60
C
72
D
84
126
Correct
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Explanation
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Official Explanation
Official
The product xy reaches its maximum when both x and y are either positive or negative. Solving for x, we have x = -14 or x = 6. For y, we have y = -9 or y = 3.…
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Comments
2
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A
AyeshaMar 26, 2025
Good question
A
ArinMay 2, 2025
Great question!
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
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Difficulty
505-555
Type
PS
Category