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Home Test Prep GRE Section 2 Quantitative

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

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Question #11


  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
x+y+ the measure of the third interior angle (lets call it w) = 180. Also, w+z= 180 (because their angles combine to form a straight line). So, you have two equations:x+y+w= 180 or x+y= 180 w w+z= 180 or z= 180 w Therefore, x+y=z (Quantity A = Quantity B)

Question #12


  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 centered information establishes that Quantity B, pq, must be negative, because the product of a positive number and a negative number is always negative.
As for Quantity A, try substituting some simple numbers for p and q. If p= 1 and q= -1, then p+q= 0 while pq= -1, and therefore


Thus, which quantity is greater depends on the values of p and q.

Question #13


  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 range of D = 10 - 3 = 7. The median of D = the arithmetic mean of 6 and 9 (the two middle terms) = 7.5.

Question #14


  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



Since x is a negative number (less than -1),
is negative and
is positive. Hence, Quantity A is a negative number less than
. Quantity B, on the other
hand, is a positive number greater than
.

Question #15




  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 problem can be simplified. When you divide 8 by 7, the remainder is 1. When you divide 5 by 3, the remainder is 2.

Question #16


  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
triangles are the same shape, and their corresponding angles are equal in size (x=p and y=q), and therefore x-y=p-q. However, the quantity x-y is being compared here to q-p, notp-q. The two quantities are equal in size only if all four angles are equal (56). It is not possible to determine whether all four angles are the same size, regardless of the measure of the third angle. Even though it appears from the figure that x-y is a negative number and q-p is a positive number, you cant assume that.

Question #17


  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

Any fraction between 0 and 1 is greater than the square of that fraction. Thus,a +b must be greater than

Question #18


  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
Multiply Quantity B by $1.20 to determine whether (and by how much) the cost of p cans exceeds the cost of a case. ($1.20) (15) = $18.00, which is greater than the cost of a case by $.60, less than the cost of one can. Accordingly, Quantity A is 15.

Question #19
A rectangular ribbon of paper is looped to form a circular ring having a diameter that measures twice the rings height.


  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
The rings height is equal to its radius. To determine Quantity A (the surface area of

the outside of the ring), multiply the rings circumference by its height (r): SA =
.

To determine Quantity B (twice the rings circular area), multiply 2 by the bases area:
. As you can see, the two quantities are equal.

Question #20


  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
The average (arithmetic mean) of any two numbers is half their sum. Regardless of the values of x and y, Quantity A will always equal Quantity B:

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