Try the following GRE quantitative reasoning question that tests your understanding of the relationship between the diameter and area of a circular region.

Question#96:

$$ d = k \sqrt{\dfrac{A}{\pi}} $$
The formula above gives the diameter $d$ of a circular region in terms of its area $A$, then $k=$

1. $\quad 4$

2. $\quad 2$

3. $\quad 1$

4. $\quad \dfrac{1}{2}$

5. $\quad \dfrac{1}{4}$

Choice B

Video Explanation

 

 
Try the following GRE quantitative reasoning question that tests your understanding of weighted average.

Question#95:

A speaker talked for sixty minutes to a full auditorium. Twenty percent of the audience heard the entire talk and ten percent slept through the entire talk. Half of the remainder heard one third of the talk and the other half heard two thirds of the talk. What was the average number of minutes of the talk heard by members of the audience?

1. $\quad 24$

2. $\quad 27$

3. $\quad 30$

4. $\quad 33$

5. $\quad 36$

Choice D

Video Explanation

 

 
This GRE quantitative comparison question tests your understanding of finding factors of products of prime numbers.

Question#93:

$p$ and $q$ are different prime numbers.
$\begin{array}{c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \
& & & & \
& \textrm{The number of positive} & & & & \textrm{The number of positive} \
& \textrm{integer divisors of $pq$} & & & & \textrm{integer divisors of $p^3$} \
\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 C

Video Explanation

 

 
Try the following GRE quantitative reasoning question that tests your understanding of how to set up mixtures and dilution questions.

Question#92:

The number of ounces of water needed to reduce $9$ ounces of shaving lotion containing $50\%$ alcohol to a lotion containing $30\%$ alcohol is:

1. $\quad 3$

2. $\quad 4$

3. $\quad 5$

4. $\quad 6$

5. $\quad 7$

Choice D

Video Explanation