The following GMAT data sufficiency question tests your understanding of algebraic inequalities tested on the GMAT.

Question 35:

Given $y^2>1$, is $xy>0$ ?

1. (1) $\dfrac{x}{1 \; – \left(\dfrac{x-1}{x}\right) } > 1$
2. (2) $x^2+y^2=2xy$

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.

 
Try the following GMAT Problem Solving question that tests your understanding of applying distance, time, and rate concepts tested on the GMAT.

Question 34:

Mr. Earl E. Bird gets up every day at $8:00$ AM to go to work. If he drives at an average speed of $40$ miles per hour, he will be late by $3$ minutes. If he drives at an average speed of $60$ miles per hour, he will be early by $3$ minutes. How many miles per hour does Mr. Bird need to drive to get to work exactly on time?

1. $\quad 45$
2. $\quad 48$
3. $\quad 50$
4. $\quad 55$
5. $\quad 58$

 
Try the following GMAT Problem Solving question that tests your understanding of statistical concepts of mean, median, mode, and range that are tested on the GMAT.

Question 33:

The mean, median, unique mode, and range of a collection of eight integers are all equal to $8$. The largest integer that can be an element of this collection is

1. $\quad 11$
2. $\quad 12$
3. $\quad 13$
4. $\quad 14$
5. $\quad 15$

 
Try the following GMAT Problem Solving question that tests your understanding of how to set up geometry problems that involve circles and equilateral triangles on the GMAT.

Question 32:

In the figure below, each of the three large circles are tangent to the other two circles, the small circle, and the two sides of the equilateral triangle. If the length of each side of the equilateral triangle is $12$, then what is the radius of the small circle?

1. $\quad 7-4\sqrt{3}$
2. $\quad 3\sqrt{3}-5$
3. $\quad 2-\sqrt{3}$
4. $\quad 9-5\sqrt{3}$
5. $\quad 6-3\sqrt{3}$

 
Try the following GMAT Problem Solving question that tests your understanding of how to set up distance, rate, and time problems on the GMAT.

Question 31:

In racing over a given distance $d$ at uniform speed, $A$ can beat $B$ by $20$ yards, $B$ can beat $C$ by $10$ yards, and $A$ can beat $C$ by $28$ yards. Then $d$, in yards, equals:

1. $\quad \textrm{not determined by the given information}$
2. $\quad 58$
3. $\quad 100$
4. $\quad 116$
5. $\quad 120$