This GRE quantitative comparison question tests your understanding of basic geometric properties of squares and equilateral triangles.

$\begin{array}{c c c c c c c c c c c}
& & \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & & \\
& & \textrm{The area of a square with a} & & & & \textrm{The area of an equilateral triangle} \\
& & \textrm{diagonal of length 2} & & & & \textrm{with a height of 2} \\
\end{array}$

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

 
This GRE quantitative comparison question tests your understanding of basic geometric properties of right triangles.

$\begin{array}{c c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & \\
& x & & & & 90 \\
\end{array}$

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

 
This GRE Math practice problem tests your understanding of sequences and identifying patterns.

The first term of a sequence is $2005$. Each succeeding term is the sum of the cubes of the digits of the previous term. What is the $2005^{\textrm{th}}$ term of the sequence?

1. $\quad 29$
2. $\quad 55$
3. $\quad 85$
4. $\quad 133$
5. $\quad 250$

 
This GRE quantitative comparison question tests your understanding of decimals and scientific notation.

$\begin{array}{c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & \\
& 0.000329 & & & & 0.32(10^{-3}) + 90(10^{-6}) \\
\end{array}$

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

 
This GRE quantitative comparison question tests your qualitative understanding of standard deviation.

$$
\begin{array}{c}
b-a=10 \\
c-b=4
\end{array}
$$
$\begin{array}{c c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & \\
& \textrm{Standard deviation of $a$, $b$, and $c$} & & & & \textrm{Standard deviation of $2$, $12$, and $16$} \\
\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. $\quad \textrm{The relationship cannot be determined from the information given.}$