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Test Prep GMAT Test Exam
Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section (Page 10 )

Updated On: 19-Jan-2026
Page 10 of 147
PDF with 745 Questions

A rectangular courtyard with whole-number dimensions has an area of 60 square meters. Find the length of the courtyard.

(1) The width is two more than twice the length.
(2) The length of the diagonal of the courtyard is 13 meters.

  1. Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
  2. Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
  3. The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
  4. The problem can be solved using EITHER statement (1) only or statement (2) only.
  5. The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Answer(s): D

Explanation:

Let x = the length of the courtyard. Statement (1) states that 2x + 2 = the width of the courtyard. Using the formula area = length × width, we get the equation 60 = x (2x + 2), which can be solved for x. Statement (1) is sufficient. Using statement (2), the diagonal divides the courtyard into two congruent right triangles. If the diagonal is 13 meters, and the dimensions are whole numbers, this must be a 5—12—13 right triangle. The length is 5 meters, and statement (2) is also sufficient.



Is x + y > 2z ?


(1) ΔABC is equilateral.
(2) AD  BC

  1. Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
  2. Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
  3. The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
  4. The problem can be solved using EITHER statement (1) only or statement (2) only.
  5. The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Answer(s): A

Explanation:

Statement (1) is sufficient. If the triangle is equilateral, then all sides and all angles are congruent. This would make x + y = 60 and z = 60; this is enough information to answer the question. From statement (2), you can only tell that is the altitude drawn to side , and that ADB and ADC are both right triangles.



Is the integer X even?

(1) X is divisible by 7.
(2) X is divisible by 11.

  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:

The fact that X is divisible by 7 does not help figure out whether it is odd or even, both even and odd numbers could be divisible by 7. The same applies for 11; both even and odd numbers could be divisible by 11. Both statements taken together do not shed a new light on the matter, there could be even and odd numbers that are divisible by 7 and 11.



Is the product XY divisible by 22?

(1) X is divisible by 4.
(2) Y is divisible by 11.

  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:

The prime factors of 22 are 2 and 11. Hence, if X is divisible by 4, it is divisible by 2 and if Y is divisible by 11, surely XY is divisible by 22.



What is the value of (a+b)?

(1) a2-b2=133.
(2) a-b=7.

  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:

Since a2-b2=(a+b)(a-b), 133=(a+b)7, and (a+b)=19. Both statements are needed to solve the question.



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