This GRE quantitative comparison question tests your understanding of sum of consecutive integers.

$\begin{array}{c c c c c}
& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & \\
& \textrm{Sum of 100 consecutive integers} & & & & \textrm{Sum of 101 consecutive integers} \\
& \textrm{beginning with 101.} & & & & \textrm{beginning with 100.} \\
\end{array}$

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

 
If the radius of a circle is increased by $1$ unit, the ratio of the new circumference to the new diameter is:

1. $\quad \pi +2$
2. $\quad \dfrac{2\pi+1}{2}$
3. $\quad \pi$
4. $\quad \dfrac{2\pi-1}{2}$
5. $\quad \pi-2$

 
In the $xy$-plane line $l$ has a slope of $m$ and a $y$-intercept of $b$, what is the $x$-intercept of the line $l$ in terms of $m$ and $b$?

1. $\quad -\dfrac{b}{m}$
2. $\quad -\dfrac{m}{b}$
3. $\quad \dfrac{1}{bm}$
4. $\quad \dfrac{b}{m}$
5. $\quad \dfrac{m}{b}$

 
How many liters of a $12$ percent alcohol solution must be added to $6$ liters of a $24$ percent alcohol solution to obtain a solution that is $15$ percent alcohol?

1. $\quad 9$
2. $\quad 15$
3. $\quad 18$
4. $\quad 20$
5. $\quad 24$

 
The price of an item in year 2000 was $p$ dollars. Each year after that the price was $10$ percent greater than the price for the previous year. What was the total percent increase in the price of the item from year 2000 to the year 2003?

1. $\quad 30\%$
2. $\quad 31.3\%$
3. $\quad 32\%$
4. $\quad 33.1\%$
5. $\quad 36.3\%$