# Free GRE Practice Questions

Question 1 of 1
ID: GRE-MCQ-17
Section: Quantitative Reasoning - Multiple Choice with one answer
Topics: Algebra; Algebraic expressions
Difficulty level: Challenging

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If $x=4+\dfrac{1}{a}$ and $y=4-\dfrac{1}{a}$, what is the value of $a^2$ if $x^2+y^2=\dfrac{65}{2}$?

A$\dfrac{1}{4}$
B$\dfrac{1}{2}$
C2
D4
E8