This document contains 25 practice questions for the GRE exam from the Educational Testing Service (ETS). Each question is multiple choice with 4 answer options and includes a brief description of information or a scenario relevant to solving the quantitative or verbal reasoning problem. The questions cover a variety of topics including arithmetic, algebra, geometry, data interpretation, and reading comprehension.

1. GRE Practice Test 3b
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2. Practice Questions Courtesy: ets gre - www.ets.org/gre
01
Quantity A
x - y
Quantity B
y - x
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
x is a positive integer and
y is a negative integer
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3. Practice Questions Courtesy: ets gre - www.ets.org/gre
02
Quantity A
The probability that event E will
occur
Quantity B
0.58
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
The probability that both events E
and F will occur is 0.42
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4. Practice Questions Courtesy: ets gre - www.ets.org/gre
03
yo
P
Q
S
PS = SR
R
xo
Quantity A
x
Quantity B
y
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.

5. Practice Questions Courtesy: ets gre - www.ets.org/gre
04
Quantity A
a
b
Quantity B
a + 3
b + 3
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
a and b are positive integers

6. Practice Questions Courtesy: ets gre - www.ets.org/gre
05
Quantity A
The average of the 150
measurements
Quantity B
25
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
The average (arithmetic mean) of 100 measurements is 23, and the average
of 50 additional measurements is 27.
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7. Practice Questions Courtesy: ets gre - www.ets.org/gre
06
(3,4)
O
y
k
x
Quantity A
The slope of line k
Quantity B
1
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.

8. Practice Questions Courtesy: ets gre - www.ets.org/gre
07
Quantity A
The value of k
Quantity B
-1
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
One of the roots of the equation x2
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9. Practice Questions Courtesy: ets gre - www.ets.org/gre
08
Quantity A
The price at which the suit was sold
Quantity B
price
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
suggested retail price. The price at which the suit was sold was 20 percent
less than the original price.

10. Practice Questions Courtesy: ets gre - www.ets.org/gre
09
Quantity A
The area of rectangular area ABCD
Quantity B
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
B
F
C
G
A ED H8
3 4
5
7
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11. Practice Questions Courtesy: ets gre - www.ets.org/gre
10
A k
B jk
C j + 2k
D jk + j

12. Practice Questions Courtesy: ets gre - www.ets.org/gre
11
The circles shown are tangent at point B. Point A is the center of the large
BA
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13. Practice Questions Courtesy: ets gre - www.ets.org/gre
12
☐ $40,200
☐ $43,350
☐ $47,256
☐ $51,996
☐ $53,808
1
3 of her gross income on her
Indicate all such gross incomes.

14. Practice Questions Courtesy: ets gre - www.ets.org/gre
13
alphabet followed by 3 one-digit numbers. How many different license plates

15. Practice Questions Courtesy: ets gre - www.ets.org/gre
14
A (p + s)2
B (p - s)2
C (s - p)2
D p2
- s2
2
- p2
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16. Practice Questions Courtesy: ets gre - www.ets.org/gre
15
2m
2m
2x
B m - 1
C m + 1
D 2m
2

17. Practice Questions Courtesy: ets gre - www.ets.org/gre
16
including approximate percents of the distribution in each of the six regions shown.
rider last January are approximately normally distributed with a mean of 56 trips and a
standard deviation of 13 trips. Approximately how many of the riders took between 30
34% 34%
14%14%
m-2d m+2dm-dm +dm
2%
2%
m
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18. Practice Questions Courtesy: ets gre - www.ets.org/gre
17
Class Males Females
Freshmen 303 259
Sophomores 215 109
Juniors 182 88
Seniors 160 84
Total 860 540
Area Percent
Humanities 33%
Social Sciences 30%
Physical Sciences 24%
No student is majoring in more than
one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
The ratio of the number of male freshmen to the number of female sophomores is
A 2 to 1
B 3 to 1
C 3 to 2
D 4 to 1

19. Practice Questions Courtesy: ets gre - www.ets.org/gre
18
Class Males Females
Freshmen 303 259
Sophomores 215 109
Juniors 182 88
Seniors 160 84
Total 860 540
Area Percent
Humanities 33%
Social Sciences 30%
Physical Sciences 24%
No student is majoring in more than
one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
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20. Practice Questions Courtesy: ets gre - www.ets.org/gre
19
Class Males Females
Freshmen 303 259
Sophomores 215 109
Juniors 182 88
Seniors 160 84
Total 860 540
Area Percent
Humanities 33%
Social Sciences 30%
Physical Sciences 24%
No student is majoring in more than
one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
A 678
B 766
C 948

21. Practice Questions Courtesy: ets gre - www.ets.org/gre
20
Class Males Females
Freshmen 303 259
Sophomores 215 109
Juniors 182 88
Seniors 160 84
Total 860 540
Area Percent
Humanities 33%
Social Sciences 30%
Physical Sciences 24%
No student is majoring in more than
one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
Indicate all such statements.
☐ The number of males majoring in physical sciences is greater than the number of females
majoring in that area.
☐
percent of the total enrollment.
☐ The ratio of the number of males to the number of females in the senior class is less than 2
to 1.

22. Practice Questions Courtesy: ets gre - www.ets.org/gre
21
k
T
B 33 1
3%
D 66 2
3%
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23. Practice Questions Courtesy: ets gre - www.ets.org/gre
22
A 12
B 10
C 8
D 6

24. Practice Questions Courtesy: ets gre - www.ets.org/gre
23
A developer has land that has x feet of lake frontage. The land is to be
frontage. If 1
9 of the lots are to have 80 feet of frontage each and the
A 400
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25. Practice Questions Courtesy: ets gre - www.ets.org/gre
24
years

26. Practice Questions Courtesy: ets gre - www.ets.org/gre
25
☐ 2.5
☐ 3.0
☐ 3.5
☐ 4.0
☐ 4.5
☐ 5.0
☐ 5.5
☐ 6.0
xy-plane. Which of the following values
could be the distance between a point on
Indicate all such values.
(1,3)
(1,1)
O
y
x
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