A set of 10 practice questions similar to those found on the GRE Quantitative Reasoning section is presented below. Each question has one correct answer choice. Detailed solutions are available here.
A car covered 130 miles using 4 gallons of diesel fuel. What distance would the same car cover, under similar conditions, using 6.7 gallons?
A) 77
B) 260.25
C) 520
D) 217.75
E) 871
If plotted on the same rectangular coordinate system, the graphs of
\[ f(x) = \left||x| - 4\right| \quad \text{and} \quad g(x) = 2 \]will have how many points of intersection?
A) No points of intersection
B) 1 point of intersection
C) 2 points of intersection
D) 3 points of intersection
E) 4 points of intersection
Which of the following numbers is the largest?
A) \(125\%\)
B) \(1.25\)
C) \(1 + \frac{1}{3}\)
D) \(\frac{4}{3}\)
E) \(\frac{0.0015}{0.001}\)
Evaluate the expression:
\[ \left|\left|-10 - 19\right| - 20\right| \]A) 9
B) 49
C) \(-49\)
D) 19
E) 11
The algebraic expression
\[ \frac{x}{x + 2} \]is undefined for which value of \(x\)?
A) 0
B) 1
C) 2
D) \(-2\)
E) \(-1\)
Evaluate:
\[ (\sqrt{5} - \sqrt{7})(\sqrt{5} + \sqrt{7}) \]A) 12
B) 2
C) 24
D) \(-24\)
E) \(-2\)
In the figure below, the sides \(AB\) and \(AC\) of triangle \(ABC\) have equal lengths. Find the measure of angle \(\angle ABC\).
A) \(46^\circ\)
B) \(67^\circ\)
C) \(134^\circ\)
D) \(136^\circ\)
E) Cannot be calculated using the given information
If \(y = 10^\circ\) in the figure below, what is the value of \(x\)?
A) \(20^\circ\)
B) \(30^\circ\)
C) \(10^\circ\)
D) \(5^\circ\)
E) \(15^\circ\)
By what percent will the volume of a rectangular solid increase if its length, width, and height each increase by \(25\%\)?
A) 25%
B) 95%
C) 74%
D) 15.6%
E) 50%
What is the average of all prime numbers between 20 and 40?
A) 20
B) 25
C) 30
D) 35
E) 40