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Home Test Prep GRE Section 2 Quantitative

Test Prep GRE Section 2 Quantitative Exam Practice Questions (P. 5)

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Question #41


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
D
All terms on both sides cancel out:

Question #42


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
B
The price of the coat described in Column A = $300 - (.07 x $300) = $300 - $21 = $279. The price of the coat described in Column B = $200 + (.4 - $200) = $200 +
$80 = $280.

Question #43


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
C
Any non-zero number raised to the power of zero is 1, and so

Question #44



Of 60 horses in a stable,
are black,
are white, and
are stallions.


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
B
A total of 32 horses (20 + 12) are either black or white. That leaves 28 horses of some other color. A total of 32 horses are stallions. Thus, it is possible that all of the stallions are either black or white, and that none of the stallions are some other color. (Quantity A = 0.) However, at least 4 of the stallions must be either black or white. (Quantity B = 4.)

Question #45
The small squares that form the 10-sided quilt shown above are to be rearranged to form a rectangular quilt consisting of two rows of small squares.




  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
A
The quilt consists of 18 squares, each measuring 1 linear unit per side. The perimeter of the quilt as shown is 24. After rearranging the squares, the quilt will consist of two rows of 9 squares; the perimeter of the new quilt will be 22 (9 + 9 + 2 + 2).

Question #46
The center of Agua Island is 24 miles from the center of Breezy Island and 48 miles from the center of Cocoa Island.


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
D
The distance described in Column B is 48 miles. The distance from Breezy to Cocoa could be any number of miles between 24 and 72, depending on the direction of Cocoa from Agua and from Breezy. Hence, Quantity A could be equal to, less than, or greater than Quantity B.

Question #47


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
C

For any real numbers x and y,
. The problem at hand simply applies this rule.

Question #48


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
A
To determine either quantity, work systematically, beginning with the greatest possible integer:
Quantity A (3 ways):
7 + 1 + 1 + 1 = 10
5 + 3 + 1 + 1 = 10
3 + 3 + 3 + 1 = 10
Quantity B (2 ways):
6 + 2 + 2 = 10
4 + 4 + 2 = 10

Question #49


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
C
In either series of integers, the terms are distributed symmetrically to the left and right of zero (0) on the number line. Hence, in both cases the sum of the integers is zero (0).

Question #50


  1. A
    The quantity in Column A is greater;
  2. B
    The quantity in Column B is greater;
  3. C
    The quantities are equal;
  4. D
    The relationship cannot be determined from the information given.

Correct Answer:
A
The leg from home to work is slower than the return leg, and therefore the average speed going to work (Quantity B) is slower than the combined average
(Quantity A).

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