The following GMAT Problem Solving question tests your ability to manipulate exponents.

Question 11:

If $m=2^{16}$ and $n=2^{8}$, then which of the following is equivalent to $m^n$ ?

1. $2^{(2^{12})}$
2. $4^{(2^{11})}$
3. $4^{(2^{12})}$

1. $\quad \textrm{None}$
2. $\quad \textrm{I only}$
3. $\quad \textrm{II only}$
4. $\quad \textrm{I and II only}$
5. $\quad \textrm{I and III only}$

 
The following GMAT Problem Solving question tests your ability to find solutions to quadratic inequalities.

Question 10:

Which of the following specifies all the possible values of $x$ for which $x^2-3x-10<0$ ?

1. $\quad -5 \lt x \lt 2$
2. $\quad -5 \lt x \lt 5$
3. $\quad -2 \lt x \lt 5$
4. $\quad x \lt -2 \quad \textrm{or} \quad x \gt 5$
5. $\quad x \lt -5 \quad \textrm{or} \quad x \gt 2$

 
The following GMAT Problem Solving question tests your ability to delineate the different categories of a set and then find the appropriate percentage.

Question 9:

At company $C$, $40\%$ of the employees are non-technicians, and $12\%$ of the employees are female technicians. What percent of the technicians are male employees?

1. $\quad 20$
2. $\quad 30$
3. $\quad 48$
4. $\quad 70$
5. $\quad 80$

 
The following GMAT data sufficiency question tests your understanding of how to deal with overlapping sets using Venn diagrams or other approaches.

Question 8:

At a certain company with 90 employees, 70 have cell phones and 60 have laptops. How many employees do not have either a cell phone or a laptop?

1. (1) The number of employees that have cell phones only is twice the number of employees that have laptops only.
2. (2) 80 employees have either a cell phone or a laptop.

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 ability to apply concepts of divisibility and prime factorization.

Question 7:

What is the least value of $n$ for which the product of the first $n$ positive integers is divisible by $8505$ ?

1. $\quad 9$
2. $\quad 12$
3. $\quad 15$
4. $\quad 18$
5. $\quad 21$