GMAT Problem Solving Question Bank

Categories : Number Properties

Jill's bank account has j dollars. Marcy's bank account has 5 times what Jill's bank account has and 1/3 of what Sarah's bank account has. How much more is in Sarah's bank account than is in Jill's bank account, in terms of j?

A. 10j
B. 14j
C. 15j
D. (2/5)j
E. (1/5)j


Assign letters to the bank account of each woman: Jill = j. Marcy = m. Sarah = s.

Now create equations based on the information given: m = 5j (Marcy has 5 times what Jill has). m = (1/3)s (Marcy has 1/3 of what Sarah has). Combine the two equations and simplify: 5j = m = (1/3)s. 5j = (1/3)s...

A cat show is featuring six different cats. Two are Persians, two are Siamese, and two are Burmese. How many ways can the organizer arrange the cats if all the cats of the same breed are to stand next to each other?

A. 10
B. 22
C. 48
D. 60
E. 74


The formula for a permutation is: nPr= n!/(n-r)! where n is the total number of selections available and r is the number of items to be selected.

From the permutation formula with n equal to 2 and r equal to 2 this results in: 2P2= 2! = 2.

Since there are 6 ways to arrange the groups and 8 ways to arrange the cats within their own...

Categories : Yield

Money Yielded Percent= 200(S+D-C)/C, where C is the cost of purchasing the 10 year saving bond, D is the amount of dividend received, S is the selling price of the bonds, and Money Yielded is the yield of the investment as a percent. If Julie purchased $200 worth of bonds, received a dividend of $10, and sold the bonds for $230 six months after purchasing them, what was the yield of her investment according to the formula?

A. 8%
B. 10%
C. 18%
D. 24%
E. 40%


We are told that the yield is 200 {(S + D - C)/C, where D is the dividend received, S is the sale price, and C...

What is the mode of the set if the average of the set {15, 30, 60, k, 20, 40} is equal to 37.5?

A. 20
B. 25
C. 35
D. 40
E. 60


The first step is to determine the value of k. We determine the value by taking the sum of the set elements, dividing by 6 and setting them equal to 37.5.

(165 + k)/6 = 37.5.

165 + k = 225.

k = 60.

Since 60 is the most frequently appearing number in the set, 60 must be mode

Correct Answer - Choice E

Categories : Angles, Quadrilaterals

What is the degree measure of the largest angle if the degree measures of the interior angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4?

A. 90 degrees
B. 100 degrees
C. 144 degrees
D. 150 degrees
E. 172 degrees


The sum of the degree measures of all the angles of ANY quadrilateral is 360 degrees. Let's designate the degree measure of the smallest angle to be X. Therefore, since the degree
measures of the angles are in the ratio 1 : 2 : 3 : 4, and they must sum to 360, we can set up the following equation:

X + 2X + 3X + 4X = 360.


Categories : Geometry Problems

Ashley and Bill simultaneously begin traveling around a circular road. Both start from the same point. Ashley travels counterclockwise and Bill travels clockwise. The two first meet after Ashley travels 40 miles per hour for 2.5 hours and Bill travels 6.4 miles per hour for 4 hours. What is the approximate diameter of the circular road (in miles)? Use 3.14 for ?.

A. 20
B. 40
C. 46.4
D. 116
E. 125.6


To visualize this question, a circle is just a line segment joined at its two ends. Lets first cut the circle at a the starting point and make it in to a straight line.

Notice that cars A and B are at...

At a contest with 1,500 participants, 1/2 of the people are aged 8 to 12. Next year, the number of
people aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 people will the 8 to 12 year olds represent?

A. 33%
B. 40%
C. 50%
D. 55%
E. 66.66%


Total Participants: 1500

This Year: Ages 8 to 12 - 750
Next Year: Ages 8 to 12 - 750 + 1/3 x 750 = 750 + 250 = 1000

Choice E: The new percentage is 1,000/1,500, or 2/3, which corresponds to 66 2/3%....

Categories : Fractions

Exactly 5/6 of the cows on a certain farm have cow bells. If exactly half of the cows with bells are
brown, what is the minimum possible number of cows on the ranch?

A. 6
B. 8
C. 12
D. 18
E. 24

Answer: The trick to this question is that the number of cows cannot be fractional; it must be an integer.

The number of brown cows is: (1/2) × (5/6) × the number of cows.

12 is the smallest positive integer that yields another integer when multiplied by 5/12, so it is the minimum possible number of cows.