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Test Prep GMAT Test Exam
Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section (Page 6 )

Updated On: 19-Jan-2026
Page 6 of 147
PDF with 745 Questions

What is the value of a + b? (1) a2 + b2 = 13
(2) 2b =

  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:

Remember that (a + b)2 = a2 + 2ab + b2. From statement (1), we know that a2 + b2 = 13. By cross multiplying in statement (2), we get 2ab = 12. Since we know the values of a2 + b2 and 2ab, and (a + b)2 = a2 + 2ab + b2, we can now take the square root of the sum to find the value of a + b.



Find the value of x.


(1) The length of BC is 2 .
(2) The length of AC is 4.

  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:

From the diagram, if the measure of angle C is 30 degrees and angle B is a right angle, then ABC is a 30— 60—90 right triangle. Using statement (1), if the measure of BC is 2 , then the shortest side x must be , which reduces to 2. Using statement (2), if the length of AC is 4 and AC is the hypotenuse of the triangle, then the shortest side of the triangle x is equal to 4/2= 2. Either statement is sufficient.



The circles in the diagram are concentric circles. What is the area of the shaded region?


(1) The area of the inner circle is 25π.
(2) The diameter of the larger circle is 20.

  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:

To find the area of the shaded region, you need the area of the inner circle subtracted from the outer circle. Since the formula for the area of a circle is , you need to know at least the radius of each circle. Statement (1) gives you the area of the inner circle only, but no information about the outer circle. Statement (2) tells you the diameter of the outer circle is 20, so the radius is 10. Both statements are needed to answer the question.



M is a positive integer, is M odd?

(1) 2M3 + 2M is divisible by 8.
(2) M + 10 is divisible by 10.

  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): B

Explanation:

Statement (1) tells us that 2M3 + 2M is divisible by 8 and so M4 + M is divisible by 4 and is even. We have two choices: M3 and M are either odd or even. This statement is insufficient.
Statement (2) is sufficient, if M + 10 is divisible by 10 then M + 10 is an even number. This statement is sufficient and the answer is B.



What is the value of x + 2y?

(1) 2x + 4y = 20
(2) y = 5 – x

  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:

If you take statement (1) and divide each term by 2, the result is x + 2y = 10. Thus, x + 2y is solved for. If you take statement (2) and add 1/2 x to both sides and multiply each term by 2, the result is also x + 2y = 10. Therefore, either statement is sufficient.



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