Quantitative Practice Test

The following Quantitative section practice test contains 80 multiple-choice questions that are similar to the
questions you will encounter on the GMAT
®
exam. These questions are designed to give you a chance to prac-
tice the skills you have learned in a format that simulates the actual exam. Answer these practice questions
carefully. Use the results to assess your strengths and weaknesses and determine which areas, if any, you need
to study further.
With 80 questions, this practice section has more than twice the number of questions you will see on
the actual exam. To practice the timing of the GMAT exam, complete the entire practice section in 162 min-
utes (2 hours and 42 minutes).
Record your answers on the answer sheet provided. Make sure you mark your answer clearly in the cir-
cle that corresponds to the question.
Remember that the GMAT exam is a CAT, and you will not be able to write anywhere on the exam. To
mimic the exam environment, do not write on the test pages. Make any notes or calculations on a separate
sheet of paper.
CHAPTER
Quantitative
Practice Test
24
369
Directions: Solve the problem and choose the letter indicating the best answer choice. The numbers used in
this section are real numbers. The figures used are drawn to scale and lie in a plane unless otherwise noted.
1. If the least common multiple of two prime numbers x and y is 10, where x Ͼ y, then the value of 2x +
y is
a. 7
b. 9
c. 11
d. 12
e. 21
2. What is the product of 6% and 14%?
a. 0.00084

b. 0.0084
c. 0.084
d. 0.84
e. 8.4
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1.abcde
2.abcde
3.abcde
4.abcde
5.abcde
6.abcde
7.abcde
8.abcde
9.abcde
10. a b c d e
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12. a b c d e
13. a b c d e
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75. a b c d e
76. a b c d e
77. a b c d e
78. a b c d e
79. a b c d e
80. a b c d e
ANSWER SHEET
3. A taxicab fare costs x dollars for the first quarter of a mile and

ᎏ
1
4
ᎏ
x
dollars for each quarter of a mile
after that. How much will the total cost be for a 2
ᎏ
1
2
ᎏ
mile ride?
a.
b.
c.
d.
e.
4. Which of the following measures could form the sides of a triangle?
I. 3, 3, 5
II. 6, 6, 12
III. 1, 2, 3
a. I only
b. II only
c. III only
d. I and II only
e. II and III only
5. Scott’s average (arithmetic mean) golf score on his first four rounds was 78. What score does he need
on his fifth round to drop his average score by 2 points?
a. 68
b. 72

c. 78
d. 88
e. 312
6. Celeste worked for h hours each day for d consecutive days. If she earns $9.50 per hour, what is the
total amount she earned?
a.
b. 9.50 + d + h
c. 9.50 + dh
d. 9.50h + d
e. 9.50dh
9.50
d
ϩ h
2.5x
5
4
x
10x
13
4
x
3x
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7. A certain jacket was marked down 20% the first week and another 20% the next week. What percent of
the regular price was the final cost of the jacket after the two markdowns?
a. 30%
b. 36%

c. 40%
d. 60%
e. 64%
8. If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the
same rate complete in 1 hour?
a. 63
b. 72
c. 144
d. 216
e. 400
9. What is the final balance of a bank account after two years if the starting balance is $1,000 at an annual
rate of 5%, using simple interest? Assume no other money was withdrawn or deposited.
a. $50
b. $100
c. $1,050
d. $1,100
e. $1,150
10. Which of the following has the smallest numerical value?
a. 2
3
× 2
2
b. 2
6
c. 2
5
× 2
1
d. (2
2

)
3
e. 2
3
× 3
3
11. How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to
create a 35% iodine solution?
a. 35
b. 49
c. 100
d. 105
e. 140
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12. If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take
both Steve and Cheryl to tile the floor if they worked together?
a. 2 hours 12 minutes
b. 2 hours 24 minutes
c. 3 hours
d. 3 hours 12 minutes
e. 10 hours
13. Given the area of the three squares, find the perimeter of ᭝ABC.
a. 12
b. 12.5
c. 19.5
d. 20
e. 25

14. During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale
ends, the price goes back to the original price. What is the percent of increase to the nearest percent
from the sale price back to the regular price for the shoes?
a. 9%
b. 10%
c. 11%
d. 15%
e. 90%
9
16
25
A
B
C
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15. How many degrees is the smaller angle?
a. 44
b. 88
c. 92
d. 132
e. 180
16. If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?
a. 30
b. 31
c. 32
d. 32
e. 37

17. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what
is the total cost of 125 posters?
a. 25d + 100e
b. 100d + 25e
c. 125de
d. d + 25e
e.
18. If the volume of a cube is x
3
cubic units, what is the number of square units in the surface area of the
cube?
a. x
2
b. x
3
c. x
6
d. 6x
2
e. 6x
3
125
de
3x – 40
2x
NOTE: FIGURE NOT DRAWN TO SCALE
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19. If x – 3 is a multiple of two, what is the next larger multiple of two?
a. 2x
b. x – 2
c. x – 1
d. x – 5
e. x + 2
20. If 3
x + 1
= 81, then x – 1 =
a. 2
b. 3
c. 4
d. 9
e. 27
21. For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of
dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1
dessert for your meal?
a. x + y + z + 1
b. xyz + xz
c. xy + z + 1
d. xyz + 1
e. xyz +
ᎏ
1
2
ᎏ
22. If x $ y is defined as 2(x + y)
2
, then what is the value of 2 $ 3?
a. 25

b. 36
c. 50
d. 100
e. 144
23. If x, y, and z are real numbers, which is always true?
I. x(yz) = (xy)z
II.
III. z (x + y) = zx + zy
a. I only
b. II only
c. I and II only
d. I and III only
e. I, II, and III
x
y
ϭ
y
z
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24. If y = 6
x
, then 6y equals
a. 6
x
b. 6
x+1
c. 6

x
+ 6
d. 6x
e. 6
x
– 1
25. What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?
a. x – 5
b. x – 3
c. x – 1
d. x
e. x + 1
26. The product of a and b is equal to 11 more than twice the sum of a and b.Ifb = 7, what is the value of
b – a?
a. 2
b. 5
c. 7
d. 24
e. 35
27.
a. ͙
ෆ
x
b. 3͙
ෆ
x
c. x
d. x
2
e. x

3
28. The instructions state that Cheryl needs
ᎏ
4
9
ᎏ
square yards of one type of material and
ᎏ
2
3
ᎏ
square yards of
another type of material for a project. She buys exactly that amount. After finishing the project, how-
ever, she has
ᎏ
1
8
8
ᎏ
square yards left that she did not use. What is the total amount of square yards of
material Cheryl used?
a.
b.
c.
d.
e.
2
1
9
1

1
9
2
3
1
9
1
12
c
3
212x2
2
d
3
ϭ
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29. Which of the following values of x would satisfy the inequality x Ͼ 1?
I. x =
II. x =
III. x =
a. I only
b. II only
c. II and III only
d. I and III only
e. I, II, and III
30. John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two
years ago?

a. 2
b. 4
c. 6
d. 8
e. 16
31. Given a spinner with four sections of equal size labeled A, B, C, and D, what is the probability of NOT
getting an A after spinning the spinner two times?
a.
b.
c.
d.
e.
32. A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1. What is the
percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
a. 9%
b. 11%
c. 15%
d. 25%
e. 90%
15
16
1
2
1
4

1
8
9
16

1
–1
3
2
–2
1
–4
3
2
2
1
1
2
2
3
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33. How many different committees can be formed from a group of two women and four men if three
people are on the committee and at least one member must be a woman?
a. 6
b. 8
c. 10
d. 12
e. 16
34. Susan spent one-third of her money on books and half of the remaining money on clothing. She then
spent three-fourths of what she had left on food. She had $5 left over. How much money did she start
with?
a. $60

b. $80
c. $120
d. $160
e. $180
35. A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is
the truck from the starting point?
a. 20.3
b. 70
c. 44.7
d. 50
e. 120
36.
a. .20
b. .5
c. 2
d. 5
e. 20
1
1
2
2× 1
2
5
2
.04
ϭ
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37. A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool.
The total area of the pool and deck is 884 square feet. What is the width of the deck?
a. 2 feet
b. 2.5 feet
c. 3 feet
d. 4 feet
e. 5 feet
38. If a person randomly guesses on each question of a test with n questions, what is the probability of
guessing half of the questions correctly if each question has five possible answer choices?
a. 5n
b.
c.
d.
e.
39. Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2.
Find the larger integer.
a. 4
b. 6
c. 12
d. 24
e. 30
40. The measure of the side of a square is tripled. If x represents the perimeter of the original square, what
is the value of the new perimeter?
a. 3x
b. 4x
c. 9x
d. 12x
e. 27x
1
1

5
2
2n
1
1
5
2
n
2
1
1
5
2
n
1
5
2
2n
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
Data Sufficiency Questions
Directions: Each of the following problems contains a question that is followed by two statements. Select your
answer using the data in statement (1) and statement (2), and determine whether they provide enough infor-
mation to answer the initial question. If you are asked for the value of a quantity, the information is suffi-
cient when it is possible to determine only one value for the quantity. The five possible answer choices are as
follows:
a. Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

b. Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
c. The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY
statement (1) or statement (2).
d. The problem can be solved using EITHER statement (1) only or statement (2) only.
e. The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.
The numbers used are real numbers. If a figure accompanies a question, the figure will be drawn to scale
according to the original question or information, but will not necessarily be consistent with the informa-
tion given in statements (1) and (2).
41. What is the value of x + 2y?
(1) 2x + 4y = 20
(2) y = 5 – x
42. Is r – 5 a real number?
(1) r is a rational number.
(2) is an irrational number.
43. Is rectangle ABCD a square?
(1) m ∠ABC = 90
(2) AC Ќ CD
44. What is the measure of an interior vertex angle of a pentagon?
(1) The measure of each adjacent exterior angle is 72.
(2) The pentagon is a regular polygon.
45. What is the value of x?
(1) x + y = 6
(2) 2x – y = 9
2 r
1
2
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