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. $\quad 60$

 
The following GMAT data sufficiency question tests your understanding of algebraic inequalities with two unknowns.

Question 21:

Is $ab+2>a+2b$ ?

1. (1) $a>2$
2. (2) $b<-1$

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 prime factorization and divisibility concepts that are tested on the GMAT.

Question 20:

If $252$ and $1176$ are factors of $n$, then which of the following could be the value of $n$ ?

1. $2^{3} \cdot 3^{2} \cdot 7^{2}$
2. $2^{6} \cdot 3^{1} \cdot 7^{2}$
3. $2^{5} \cdot 3^{3} \cdot 7^{3}$

1. $\quad \textrm{I only}$
2. $\quad \textrm{III only}$
3. $\quad \textrm{I and III only}$
4. $\quad \textrm{II and III only}$
5. $\quad \textrm{I, II, and III}$