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. $\quad 120$

 
Try the following GMAT Problem Solving question that tests your understanding of how to set up problems best solved using triple Venn diagrams.

Question 30:

Of $28$ students taking at least one subject, the number taking Mathematics and English only equals the number taking Mathematics only. No student takes English only or History only, and six students take Mathematics and History, but no English. The number taking English and History only is five times the number taking all three subjects. If the number taking all three subjects is even and non-zero, the number taking English and Mathematics only is:

1. $\quad 5$
2. $\quad 6$
3. $\quad 7$
4. $\quad 8$
5. $\quad 9$

 
Try the following GMAT Problem Solving question that tests your understanding of percent changes and ratios.

Question 29:

If $a$ is $40\%$ less than $b$ and $b$ is $25\%$ more than $c$, then what is the ratio of $c$ to $a$?

1. $\quad 3 \; \textrm{to} \; 4$
2. $\quad 3 \; \textrm{to} \; 5$
3. $\quad 4 \; \textrm{to} \; 3$
4. $\quad 5 \; \textrm{to} \; 3$
5. $\quad 2 \; \textrm{to} \; 1$