Free Practice Question
PS · Problem Solving
505-555
Absolute Values/Modules
Let A be an integer such that the absolute value of A is less than 5. If B is defined as B = A - 6, how many distinct values can B take?
Answer Choices
Correct answer marked belowA
4
B
5
C
6
D
7
9
Correct
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Explanation
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Official Explanation
Official
Given that A is an integer and |A| < 5, we can express this as -5 < A < 5. Therefore, A can take values from -4 to 4. The total number of values is calculated as 4 - (-4) + 1…
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Comments
2
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C
CarolinaMar 2, 2025
thanks for posting
A
AlexisApr 1, 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.
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TopicGMAT Quantitative Reasoning
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Difficulty
505-555
Type
PS
Category