The following GMAT data sufficiency question tests your understanding of how to deal with remainder questions in the context of GMAT data sufficiency.

Question 14:

What is the remainder when the positive integer $n$ is divided by $30?$

1. (1) The remainder when $n$ is divided by $15$ is $7$.
2. (2) The remainder when $n$ is divided by $12$ is $4$.

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 add up a finite set of terms that form a geometric sequence.

Question 13:

$\dfrac{3(4^5 + 4^6+4^7+4^8+4^9+4^{10})}{2^5+2^6+2^7+2^8+2^9+2^{10}}=$

1. $\quad 2^{10}+2^{5}$
2. $\quad 2^{10}+2^6$
3. $\quad 2^{11}+2^{5}$
4. $\quad 2^{11}+2^{6}$
5. $\quad 2^{16}$

 
The following GMAT Problem Solving question tests your understanding of properties of functions.

Question 12:

Which of the following functions $f$ satisfies the condition $f(x+y) = f(x) \cdot f(y)$ for all non-zero values of $x$ and $y$?

1. $\quad f(x)=\dfrac{1}{x}$
2. $\quad f(x)=3^{-2x}$
3. $\quad f(x)=-x$
4. $\quad f(x)=\sqrt{x}$
5. $\quad f(x)=x^2-x$

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