293
QUANTITATIVE SECTION
TIME: 45 Minutes
28 Questions
General Directions: Your score on the quantitative section will be based on how well you do
on the questions presented and also on the number of questions you answer. You should try to
pace yourself so that you have sufficient time to consider every question. If possible, answer
all 28 questions in this section. Guess if you need to. Select the best answer choice for each
question.
Note: Because you are checking answers as you go on this simulated GRE CBT, you should
add about 5 or 10 minutes to your testing time.
Numbers: All numbers used are real numbers.
Figure: Figures are intended to provide useful positional information, but are not necessarily
drawn to scale. Unless a note states that a figure is drawn to scale, you should not solve these
problems by estimating sizes or by measurement. Use your knowledge of math to solve the
problems.
Angle measures can be assumed to be positive.
Lines that appear straight can be assumed straight.
Unless otherwise indicated, figures lie in a plane.
Directions: You are given two quantities, one in Column A and one in Column B. You are to
compare the two quantities and choose oval
A if the quantity in Column A is greater;
B if the quantity in Column B is greater;
C if the two quantities are equal;
D if the relationship cannot be determined from the information given.
Common Information: Information centered above both columns refers to one or both
columns. A symbol that appears in both columns represents the same thing in each column.
Directions: Math Ability
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Part II: Full-Length GRE CBT Practice Test
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
2-4
Column A Column B
1
2
1
4
1
16
1
32
1
64
1
+++ + +
2
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
Answers: 2-2 C, 2-4 B
If you answered 2-2 incorrectly, go to 3-1.
If you answered 2-2 correctly, go to 3-3.
If you answered 2-4 incorrectly, go to 3-3.
If you answered 2-4 correctly, go to 3-5.
1-3
Column A Column B
Number of ways to 12
arrange four books
on a shelf
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
Answer 1-3 A
If you answered 1-3 incorrectly, go to 2-2.
If you answered 1-3 correctly, go to 2-4.
2-2
Column A Column B
Number of integer Number of
multiples of 8, integer multiples
greater than 8, of 6, greater than
but less than 50 6, but less than 40
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
Solve each problem in this section by using the information given and your own mathematical
calculations. Then select the correct answer of the five choices given. Use the scratch paper
given for any necessary calculations.
Remember that on the actual exam the answer choices will not be lettered. You will
simply select the oval next to your choice.
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Quantitative Section
Quantitative Section
3-5
x > y > 0
Column A Column B
xy- xy-
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
Answers: 3-1 D, 3-3 D, 3-5 B
If you answered 3-1 incorrectly, go to 4-1.
If you answered 3-1 correctly, go to 4-2.
If you answered 3-3 incorrectly, go to 4-2.
If you answered 3-3 correctly, go to 4-4.
If you answered 3-5 incorrectly, go to 4-4.
If you answered 3-5 correctly, go to 4-5.
4-1
What is .25% of 12?
A.
3
⁄
100
B.
3
⁄
10
C.
1
⁄
3
D. 3
E. 300
3-1
x
2
= 36
Column A Column B
6x
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
3-3
x > 0
Column A Column B
3x
2
2x
3
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
GO ON TO THE NEXT PAGE
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Part II: Full-Length GRE CBT Practice Test
Answers: 4-1 A, 4-2 C, 4-4 A, 4-5 B
If you answered 4-1 incorrectly, go to 5-1.
If you answered 4-1 correctly, go to 5-2.
If you answered 4-2 incorrectly, go to 5-1.
If you answered 4-2 correctly, go to 5-3.
If you answered 4-4 incorrectly, go to 5-3.
If you answered 4-4 correctly, go to 5-5.
If you answered 4-5 incorrectly, go to 5-4.
If you answered 4-5 correctly, go to 5-5.
5-1
Column A Column B
xy
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
l
1
l
2
l
3
y°
x°
4-2
If 15 students in a class average 80%
on an English exam and 10 students
average 90% on the same exam, what is
the average in percent of all 25
students?
A. 86
2
⁄
3
%
B. 85%
C. 84%
D. 83
1
⁄
2
%
E. 83%
4-4
A bag contains 20 gumballs. If there are
8 red, 7 white, and 5 green, what is the
minimum number of gumballs one must
pick from the bag to be assured of one
of each color?
A. 16
B. 9
C. 8
D. 6
E. 3
4-5
The denominator of a fraction is 5
greater than the numerator. If the
numerator and the denominator are
increased by 2, the resulting fraction is
equal to
7
⁄
12
. What is the value of the
original value of the original fraction?
A.
5
⁄
12
B.
1
⁄
2
C.
9
⁄
14
D.
2
⁄
3
E.
12
⁄
17
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Quantitative Section
Quantitative Section
5-4
Column A Column B
x3
2
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
5-5
ABCD is a rhombus with
height 4 and area 20.
Column A Column B
Length of side AB Length of
diagonal AC
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
y°
92°
x
33
5-2
Column A Column B
y43°
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
5-3
Column A Column B
Number of Number of
diagonals in sides of a
a hexagon hexagon
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
y°
92°
x
33
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Part II: Full-Length GRE CBT Practice Test
6-2
In the figure, all line segments meet at
right angles, and each segment has a
length of x. What is the area of the
figure in terms of x?
A. 25x
2
B. 35x
2
C. 36x
2
D. 41x
2
E. 45x
2
6-3
If in the figure x =
3
2
y, then y =
A. 36
B. 72
C. 108
D. 144
E. Cannot be determined
y° x°
x
x
Answers: 5-1 D, 5-2 A, 5-3 A, 5-4 A, 5-5 D
If you answered 5-1 incorrectly, go to 6-1.
If you answered 5-1 correctly, go to 6-2.
If you answered 5-2 incorrectly, go to 6-1.
If you answered 5-2 correctly, go to 6-3.
If you answered 5-3 incorrectly, go to 6-2.
If you answered 5-3 correctly, go to 6-4.
If you answered 5-4 incorrectly, go to 6-3.
If you answered 5-4 correctly, go to 6-5.
If you answered 5-5 incorrectly, go to 6-4.
If you answered 5-5 correctly, go to 6-5.
6-1
In the figure, what is the number of
degrees in the sum of m + n?
A. 83
B. 93
C. 97
D. 103
E. Cannot be determined
m°
n°
25°
72°
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Quantitative Section
Quantitative Section
7-1
Column A Column B
x + 4y − 3
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
7-2
x, y, z are integers
Column A Column B
z − xx − y
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
-2y0xz3
6-4
What is the area of a square inscribed in
a circle whose circumference is 16π?
A. 8
B. 32
C. 64
D. 128
E. 256
6-5
In the cube above, AH and BG are
diagonals and the surface area of side
ABFE is 16. What is the area of
rectangle ABGH?
A. 4
2
B. 16
C.
16 2+
D. 16
2
E. 15
3
Answers: 6-1 A, 6-2 D, 6-3 C, 6-4 D, 6-5 D
If you answered 6-1 incorrectly, go to 7-1.
If you answered 6-1 correctly, go to 7-2.
If you answered 6-2 incorrectly, go to 7-1.
If you answered 6-2 correctly, go to 7-3.
If you answered 6-3 incorrectly, go to 7-2.
If you answered 6-3 correctly, go to 7-4.
If you answered 6-4 incorrectly, go to 7-3.
If you answered 6-4 correctly, go to 7-5.
If you answered 6-5 incorrectly, go to 7-4.
If you answered 6-5 correctly, go to 7-5.
A
B
D
C
E
F
HG
GO ON TO THE NEXT PAGE
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Part II: Full-Length GRE CBT Practice Test
Answers: 7-1 D, 7-2 B, 7-3 B, 7-4 B, 7-5 B
If you answered 7-1 incorrectly, go to 8-1.
If you answered 7-1 correctly, go to 8-2.
If you answered 7-2 incorrectly, go to 8-1.
If you answered 7-2 correctly, go to 8-3.
If you answered 7-3 incorrectly, go to 8-2.
If you answered 7-3 correctly, go to 8-4.
If you answered 7-4 incorrectly, go to 8-3.
If you answered 7-4 correctly, go to 8-5.
If you answered 7-5 incorrectly, go to 8-4.
If you answered 7-5 correctly, go to 8-5.
8-1
Bob is older than Jane, but he is
younger than Jim. If Bob’s age is b,
Jane’s age is c, and Jim’s age is d, then
which of the following is true?
A. c < b < d
B. b < c < d
C. b < d < c
D. c < d < b
E. d < c < b
8-2
If
2
⁄
x
= 4 and
2
⁄
y
= 8, then x − y =
A.
1
⁄
8
B.
1
⁄
4
C.
3
⁄
4
D. 4
E. 24
8-3
If
a
⁄
b
=
c
⁄
d
and a, b, c, and d are positive
integers, then which of the following is
true?
A.
a
⁄
b
=
d
⁄
c
B. ac = bd
C. a + d = b + c
D.
d
⁄
b
=
c
⁄
a
E.
a
⁄
d
=
c
⁄
b
7-3
x is 30% of 60
20% of y is 4
Column A Column B
xy
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
7-4
x > 0
Column A Column B
x(x + 2) + (x + 2) (x + 1)(x + 3)
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
7-5
Column A Column B
x
2
+ 2x + 1 = 0y
2
− 2y + 1 = 0
xy
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
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Quantitative Section
Quantitative Section
9-1
Column A Column B
35% of 50 50% of 35
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
9-2
Column A Column B
3
2
+ 4 × 10
2
− 4
2
3
2
− 4 × 10
2
− 4
2
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
9-3
Column A Column B
(.11)
100
(1.1)
10
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
8-4
If a and b are integers, which of the
following conditions is sufficient for
ab
ab
22
-
-
= a + b to be true?
A. a > 0
B. a < 0
C. a > b
D. b > 0
E. b < 0
8-5
If the average of two numbers is y, and
one of the numbers is equal to z, then
the other number is equal to
A. 2z − y
B.
yz
2
+
C. z − y
D. 2y − z
E. y + 2z
Answers: 8-1 A, 8-2 B, 8-3 D, 8-4 C, 8-5 D
If you answered 8-1 incorrectly, go to 9-1.
If you answered 8-1 correctly, go to 9-2.
If you answered 8-2 incorrectly, go to 9-1.
If you answered 8-2 correctly, go to 9-3.
If you answered 8-3 incorrectly, go to 9-2.
If you answered 8-3 correctly, go to 9-4.
If you answered 8-4 incorrectly, go to 9-3.
If you answered 8-4 correctly, go to 9-5.
If you answered 8-5 incorrectly, go to 9-4.
If you answered 8-5 correctly, go to 9-5.
GO ON TO THE NEXT PAGE
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Part II: Full-Length GRE CBT Practice Test
Answers: 9-1 C, 9-2 A, 9-3 B, 9-4 B, 9-5 B
If you answered 9-1 incorrectly, go to 10-1.
If you answered 9-1 correctly, go to 10-2.
If you answered 9-2 incorrectly, go to 10-1.
If you answered 9-2 correctly, go to 10-3.
If you answered 9-3 incorrectly, go to 10-2.
If you answered 9-3 correctly, go to 10-4.
If you answered 9-4 incorrectly, go to 10-3.
If you answered 9-4 correctly, go to 10-5.
If you answered 9-5 incorrectly, go to 10-4.
If you answered 9-5 correctly, go to 10-5.
10-1
0 < x + y < 2
Column A Column B
xy
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
10-2
Column A Column B
(x
2
y
3
)
8
(x
4
y
6
)
4
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
9-4
Column A Column B
Number of inches Number of minutes
in one mile in one year
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
9-5
A fair deck of 52 playing cards contains
4 suits: diamonds, spades, hearts, and
clubs. Each suit contains 13 cards.
Column A Column B
Without replacing Without replacing
any cards drawn, any cards drawn,
the probability of the probability of
randomly drawing randomly drawing
two diamonds in a heart, a club,
a row and a spade, but
not necessarily in
that order
A. The quantity in Column A is
greater.
B. The quantity in Column B is
greater.
C. The quantities are equal.
D. The relationship cannot be
determined from the information
given.
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