GMAT Problem Solving Question Bank

What is the degree measure of the largest angle

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

Answer

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.

The...

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Ashley and Bill simultaneously begin traveling around a circular road

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

Answer

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...

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At a contest with 1,500 participants, 1/2 of the people

Categories : Change in percent, Percents

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%

Answer

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%....

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Exactly 5/6 of the cows on a certain farm have cow bells

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.

...

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