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Test Prep GMAT Test Exam
Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section (Page 7 )

Updated On: 19-Jan-2026
Page 7 of 147
PDF with 745 Questions

Is r – 5 a real number?

(1) r is a rational number.
(2) 2 is an irrational number.

  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:

Any real number is either rational or irrational and subtracting 5 from any rational or irrational will also be a real number. Statement (1) is sufficient. Statement (2) implies that if the square root of a number is irrational, the original number was either rational or irrational. Statement (2) is sufficient.



Is rectangle ABCD a square?

(1) m □ABC = 90
(2) AC ┴ CD

  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): B

Explanation:

Since you know that ABCD is a rectangle, you already know that each vertex angle is 90 degrees. Statement (1) does not tell you any additional information about ABCD. Statement (2) states that the diagonals are perpendicular; a rectangle with perpendicular diagonals is a square. Statement (2) is sufficient.



What is the measure of an interior vertex angle of a pentagon?

(1) The measure of each adjacent exterior angle is 72.
(2) The pentagon is a regular polygon.

  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:

Either statement is sufficient. Statement (1) is sufficient because if the measure of each adjacent exterior angle is 72, then the measure of the interior angle is 180 – 72 = 108. Statement (2) is also sufficient. Regular polygons contain congruent sides and congruent angles. If the pentagon is made up of 540 degrees, then 540_ 5 = 108 in each angle.



What is the value of x?

(1) x + y = 6 (2) 2x – y = 9

  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): C

Explanation:

Since this question has two variables and two equations, they can be used together to solve for x and y. If both equations are combined, the result is 3x = 15. Obviously x and subsequently y can be solved for now, but you do not need to finish the problem once you have reached this conclusion.



What is the value of x?


(1) m□ACB = 30
(2) m□A + □B = 150

  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:

In this problem, either statement is sufficient. Angle ACB is supplementary to x, so 180 – 30 = 150 degrees. Statement (2) says that the sum of the two remote interior angle equal 150 degrees; this is equal to the exterior angle, x. Note that the diagram is not drawn to scale so you should not rely on the diagram to calculate the answer.



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