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Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section Questions 146–150 (page: 31)

Updated On: 9-Feb-2026

If (1 < A < 3 < B), then which of the following expressions is the largest?

  1. (B+2)/(A-1).
  2. (B-2)/(A+1).
  3. A/B.
  4. (B-2)/(A-1).
  5. B/A.

Answer(s): A

Explanation:

Try some numbers and check the answers.
A=2, B=4. A. 6/1 = 6.
B 2/3.
C 1/2.
D 2.
E 2.



Which of the following fractions is the smallest?

  1. 3/10.
  2. 6/19.
  3. 3/8.
  4. 11/30.
  5. 12/31.

Answer(s): A

Explanation:

Compare all of the answers to A. 3/10.
B 3/10 x 2 = 6/20 which is smaller than 6/19.
C 3/10 is smaller.
D 3/10 = 9/30, and this is smaller than 11/30.
E 3/10 = 12/40 and that is smaller than 12/31. The smallest fraction is A.



Which of the following fractions is the largest?

  1. 2/7.
  2. 2/3.
  3. 7/9.
  4. 7/12.
  5. 3/5.

Answer(s): C

Explanation:

Let’s compare all the answers to 2/7, unless we find a larger fraction.
B 2/3 is larger than 2/7. For now, this is the right answer.
C 2/3 is also 6/9 and that is smaller than 7/9. For now, this is the right answer.
D 7/9 is bigger than 7/12.
E Bring this answer and C. to a common denominator. 7/9 = 35/45 and 3/5 = 27/45.
7/9 is the largest fraction.



If A2 + B2 = 15 and AB = 10, what is the value of the expression (A – B)2 + (A + B)2?

  1. 10.
  2. 20.
  3. 30.
  4. 60.
  5. 70.

Answer(s): C

Explanation:

(A – B)2 + (A + B)2 = A2 – 2AB + B2 + A2 + 2AB + B2 = 2(A2 + B2) = 30.



If A and B are positive integers, which of the following expressions is not an integer for certain?

  1. (2A2 – 2B2)/(A+B).
  2. (6B + 8A)/(3B + 4A).
  3. (3A – B)/(B - 3A).
  4. (A + B)/(A2 + B2 + 2AB).
  5. (A2 – B2)/(A - B).

Answer(s): D

Explanation:

All the answers besides D are numbers after some simplification. Answer D = (A + B)/(A+B)2 = 1/(A+B), and this is a fraction of a number.



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