Home › MCQs › GRE Quantitative Reasoning › Question #8158
Back to Questions
GRE Quantitative Reasoning QUESTION #8158
Question 1

Let $X$ be the set of all integers $n$ satisfying $2 \leq |n| \leq 5$. Compare:

Quantity A: The absolute value of the greatest integer in $X$

Quantity B: The absolute value of the least integer in $X$

  • Quantity A is greater
  • Quantity B is greater
  • The two quantities are equal✔️
  • The relationship cannot be determined from the information given
Correct Answer Explanation

The set $X$ consists of all integers $n$ with $2 \leq |n| \leq 5$.

These are: $-5, -4, -3, -2, 2, 3, 4, 5$.

The greatest integer in $X$ is $5$, and $|5| = 5$.

The least integer in $X$ is $-5$, and $|-5| = 5$.

Both absolute values equal $5$, so the two quantities are equal.