Try the following GRE quantitative reasoning question that tests your understanding of word problems based on distance, rate, and time relationship.

Question#101:

How many hours does it take a train traveling at an average rate of $40$ mph between stops to travel $a$ miles if it makes $n$ stops of $m$ minutes each?

1. $\quad \displaystyle \frac{3a+2mn}{120}$

2. $\quad \displaystyle 3a+2mn$

3. $\quad \displaystyle \frac{3a+2mn}{12}$

4. $\quad \displaystyle \frac{a+mn}{40}$

5. $\quad \displaystyle \frac{a+40mn}{40}$

Choice A

Video Explanation

 

 
Try the following GRE quantitative reasoning question that tests your ability to translate word statements to an algebraic relationship.

Question#100:

A phone call between two cities costs $\$0.75$ for the first $4$ minutes and $\$0.25$ for each additional minute. If $t$ is an integer greater than $4$, a phone call $t$ minutes long will cost how many $\textbf{dollars}$?

1. $\quad \displaystyle \frac{3t}{4}$

2. $\quad \displaystyle \frac{t-1}{4}$

3. $\quad \displaystyle \frac{t+1}{4}$

4. $\quad \displaystyle \frac{t-3}{2}$

5. $\quad \displaystyle \frac{t+3}{4}$

Choice B

Video Explanation

 

 
Try the following GRE quantitative reasoning question that tests your understanding of circles and area of inscribed triangles.

Question#99:

Point $C$ lies on a circle that has center $O$ with a radius of $2$ units. If $\overline{AB}$ is a diameter of the circle, what is the greatest possible area of triangle $ACB$ ?

1. $\quad 2$

2. $\quad 2\sqrt{2}$

3. $\quad 3$

4. $\quad 4$

5. $\quad 4\sqrt{2}$

Choice D

Video Explanation

 

 
Try the following GRE quantitative reasoning question that tests your understanding of the averages (arithmetic mean).

Question#98:

The Dunbar family consists of a mother, a father, and some children. The average age of the members of the family is $20$, the father is $48$ years old, and the average age of the mother and children is $16$. How many children are in the family?

1. $\quad 2$

2. $\quad 3$

3. $\quad 4$

4. $\quad 5$

5. $\quad 6$

Choice E

Video Explanation

 

 
This GRE quantitative comparison question tests your understanding of integers and their squares.

Question#97:

$n$ is an integer and $n^2 < 50$
$\begin{array}{c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & \\
& \textrm{The greatest possible value of $n$} & & & & \textrm{$7$} \\
& \textrm{minus the least possible value of $n$} & & & & \textrm{} \\
\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. $\quad \textrm{The relationship cannot be determined from the information given.}$

Choice A

Video Explanation