Try this GRE math practice question that tests your ability to translate word relationships when given in terms of fractions.

Question#69: In the month of June, Ryan used $\dfrac{1}{12}$ of his monthly salary for his student loan payment. Ryan also paid $\dfrac{2}{3}$ more than the student loan payment for his rent. What fraction of his monthly salary was left after Ryan made the student loan and rent payment?

1. $\quad \dfrac{31}{36}$
2. $\quad \dfrac{7}{9}$
3. $\quad \dfrac{5}{8}$
4. $\quad \dfrac{3}{4}$
5. $\quad \dfrac{1}{4}$

Video explanation

 

 
Try this GRE quantitative comparison question on geometry that tests your understanding of how the right angle of a triangle changes when the dimensions of the legs are changed.

$\textrm{Note: Figure not drawn to scale}$
$\begin{array}{c c c c c c c c c c c}
& & & & & & \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & & & & & & \\
& & & & & & x & & & & 90\\
\end{array}$

1. $\quad \textrm{Quantity A is greater.}$
2. $\quad \textrm{Quantity B is greater.}$
3. $\quad \textrm{The two quantities are equal.}$
4. $\quad \textrm{The relationship cannot be determined from the information given.}$

 

 
Try this GRE math practice question that tests your understanding of relationship between the length of an edge of a square inscribed in a circle and the radius of the circle.

Question#67: If a square is inscribed in a circle of radius $r$ as shown below, then the area of the shaded region is

1. $\quad r^2\left(\pi \; – \, \dfrac{1}{2\pi}\right) $
2. $\quad r^2\left(\pi-\dfrac{1}{2}\right) $
3. $\quad \dfrac{\pi r^2}{2} $
4. $\quad r^2(\pi-1) $
5. $\quad r^2(\pi-2) $