This GRE quantitative comparison question tests your understanding of algebraic word translations.

In a container, the number of red balls is five less than twice the number of blue balls. The container has a total of $40$ balls, and $30$ percent of the balls are neither red nor blue.

$\begin{array}{c c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & \\
& \textrm{The number of red balls} & & & & 19 \\
\end{array}$

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 mixtures and fractions.

Two $600$ ml pitchers contain orange juice. One pitcher is $\frac{1}{3}$ full and the other pitcher is $\frac{2}{5}$ full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?

1. $\quad \dfrac{1}{8}$
2. $\quad \dfrac{3}{16}$
3. $\quad \dfrac{11}{30}$
4. $\quad \dfrac{11}{19}$
5. $\quad \dfrac{11}{15}$

(Source: 2004 AMC 8)

 
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. $\quad 250$