Test Prep GMAT Test Exam
Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section (Page 59 )

Updated On: 19-Jan-2026

In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?

  1. 2/3.
  2. 4/9.
  3. 1/3.
  4. 5/9.
  5. 2/9.

Answer(s): E

Explanation:

Pick a number for the red haired girls: 1.
The number of brown haired girls is twice as much, thus 2. The number of blondes is three times as much, thus 6.
The total number of girls is 9 and the brown ones are 2 out of 9.



In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?

  1. 3:16.
  2. 2:3.
  3. 1:3.
  4. 3:4.
  5. 2:5.

Answer(s): C

Explanation:

Plug in numbers. Pants in store A cost $3 and in Store B $4.
In Store A they sold 10 pairs so they earned $40, in store B they earned (40 x 3) $120. The ratio between the money earned is 1 to 3.



If Q and T are integers, what is the value of Q?

(1) Q = 2T/7.
(2) T+7/2 =7(Q+2)/4

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): E

Explanation:

We want to find the number value of Q.
In statement (1) we are given the ratio between Q and T, which is not sufficient. Statement (2) can be simplified:

T+7/2 = 7(Q+2)/4  T+7 = 7Q+14/2  T+7 = 7Q/2 +7  T = 7Q/2
We can see that the same ratio is given in statement (2) also and more data is required to answer the question. Both statements give the same information. The correct answer is E.



X, Y>0, If X3 = Y, is Y a fraction?

(1) X2 is a fraction.
(2) X > Y.

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): D

Explanation:

Statement (1) is sufficient. If X2 is a fraction, X must also be a fraction. Meaning that X3 and Y will also be fractions.
Statement (2) is sufficient. If X3 is a fraction then X must be greater than X3, which is also equal to Y. We get that from X > Y, so X3 and Y are fractions.
The correct answer is D.



A spaceship in orbit rotates around the planet Pluto. How many full rotations can the spaceship complete in 20 hours.

(1) The radius of the rotation is 21,000 miles.
(2) The spaceship travels at 35 miles per second.

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): C

Explanation:

In order to calculate the time it would take to complete one rotation, you need the radius and the velocity. Statement (1) provides the radius of rotation and (2) provides the velocity.
The distance the spaceship has to travel in order to complete one rotation is and the speed is 35 miles per second. Divide the first by the second and you’ll get the time it would take the spaceship to complete one rotation.



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