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GRE GRE Test Exam Questions
Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing (Page 16 )

Updated On: 10-Mar-2026
Page 16 of 119
PDF with 793 Questions

For each mountain bike that Pat sells, he earns a commission of $10 plus x percent of the selling price of the bike. If Pat earned a commission of $180 by selling 5 mountain bikes for a total selling price of $6,500, what is the value of x?

  1. 1
  2. 1.5
  3. 2
  4. 2.5
  5. 3

Answer(s): C

Explanation:

A fixed commission of $10 per bike, which for 5 bikes is:
10 × 5 = 50
An x percent commission on the total selling price of $6,500, which is:



Thus, the total commission equation is:



x = 2



A certain bag contains red balls, green balls, and blue balls and no other balls. The ratio of the number of red balls to the number of blue balls is 2:3, and the ratio of the number of blue balls to the number of green balls is
4:3. The number of blue balls in the bag is what fraction of the total number of balls in the bag?






Answer(s): B

Explanation:

1. The ratio of red balls to blue balls: 2:3
Let the number of red balls be 2x and the number of blue balls be 3x.
2. The ratio of blue balls to green balls: 4:3
Let the number of blue balls be 4y and the number of green balls be 3y.
Since both expressions represent the number of blue balls, we set them equal:
3x = 4y
Solving for x in terms of y:



Expressing all balls in terms of y:



· Red balls:
· Blue balls: 4y
· Green balls: 3y



A pound of tea makes 210 cups of tea, and a pound of coffee makes 40 cups of coffee. If, on the average, a restaurant serves 12 times as many cups of coffee as tea, what is the ratio of pounds of tea to pounds of coffee used at the restaurant?






Answer(s): A

Explanation:

Let T be the number of cups of tea served.
Then the number of cups of coffee served is 12T (since coffee is served 12 times as much as tea).
Since 1 pound of tea makes 210 cups, the pounds of tea used is:



Since 1 pound of coffee makes 40 cups, the pounds of coffee used is:



Find the Ratio of Pounds of Tea to Coffee:



Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair?






Answer(s): D

Explanation:

Pat has 10 socks in total (5 pairs, each with 2 socks). The total number of ways to select 2 socks from 10 is given by the combination formula:



Since there are 5 matched pairs of socks, there are 5 ways to select one matched pair (one for each of the 5 pairs).
The probability of selecting a matched pair is the ratio of the number of ways to select a matched pair to the total number of ways to select 2 socks:



Two boats depart from the same point at the same time. Boat X travels north at a constant speed of 4 miles per hour while boat Y travels east at a constant speed of 3 miles per hour. In how many hours will the two boats be 10 miles apart?

  1. 1

  3. 2

  5. 3

Answer(s): C

Explanation:

To solve this, we can use the Pythagorean theorem, since the boats are traveling at right angles to each other (north and east).
Let t be the time in hours. At time t, the distance traveled by Boat X (traveling north) is:
Distance by Boat X = 4tmiles.
Similarly, the distance traveled by Boat Y (traveling east) is:
Distance by Boat Y = 3tmiles
Since the two boats are traveling at right angles to each other, we can apply the Pythagorean theorem to find the distance between them at time t:



We are given that the distance between the boats is 10 miles, so:



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