The following GMAT data sufficiency question tests your understanding of straight lines and intercepts in the $xy-$coordinate plane.

Question 26:

In the $xy$-plane, what is the slope of the line $y=mx+c$, where $mc \neq 0$ ?

1. (1) The $x$ and $y$-intercepts of the line are equal.
2. (2) The product of the $x$ and $y$-intercepts is equal to $1$.

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

 
The following GMAT Problem Solving question tests your understanding of how to find the measure of an angle in a regular pentagon.

Question 25:

The figure below shows a regular pentagon. What is the measure of angle $ACE$ ?

1. $\quad 18$
2. $\quad 24$
3. $\quad 36$
4. $\quad 40$
5. $\quad 45$

 
The following GMAT data sufficiency question tests your understanding of dealing with absolute value equations.

Question 24:

Is $a^2 = b^2$ ?

1. (1) $|a| \; – \; |b|=0$
2. (2) $|a| \; + \; |b|=0$

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

 
The following GMAT Problem Solving question tests your understanding of percentage changes and converting the results to appropriate fractions.

Question 23:

Participation in the local soccer league this year is $10\%$ higher than last year. The number of males increased by $5\%$ and the number of females increased by $20\%$. What fraction of the soccer league is now female?

1. $\quad \dfrac{1}{3}$
2. $\quad \dfrac{4}{11}$
3. $\quad \dfrac{2}{5}$
4. $\quad \dfrac{4}{9}$
5. $\quad \dfrac{1}{2}$

 
The following GMAT Problem Solving question tests your understanding of counting principles.

Question 22:

How many three-digit numbers have at least one $2$ and at least one $3$ ?

1. $\quad 52$
2. $\quad 54$
3. $\quad 56$
4. $\quad 58$
5. $\quad 60$