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GMAT Problem Solving Practice Test
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01
25
+ 25
+ 35
+ 35
+ 35
?
A 56
B 135
C 26
+ 36
D 27
+ 38
E 45
+ 95
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02
If 521
× 411
= 2 × 10n
what is the value of n?
A 11
B 21
C 22
D 23
E 32

03
many hours will it take both pumps, working at their respective
the same time?
A 1
4
B 1
3
C 2
5
D 5
4
E 3
2
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04
2 + 2 + 22
+ 23
+ 24
+ 25
+ 26
+ 27
+ 28
=
A 29
B 210
C 216
D 235
E 237

05
Machines X and Y produce bottles at their respective constant
rates. Machine X produces k bottles in 6 hours and machine
Y produces k bottles in 2 hours. How many hours does it take
machines X and Y, working simultaneously, to produce 12k
bottles ?
A 8
B 12
C 15
D 18
E 24
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06
(82
) (33
) 24
)
962
A 3
B 6
C 9
D 12
E 18

07
with center O is 1 and BC = 1. What is the
area of the triangular region ABC?
C 1
A
B
C
O
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08
In a class of 30 students, 2 students did not borrow any
books from the library, 12 students each borrowed 1 book, 10
students each borrowed 2 books, and the rest of the students
each borrowed at least 3 books. If the average (arithmetic
mean) number of books borrowed per student was 2, what was
the maximum number of books that any single student could
have borrowed?
A 3
B 5
C 8
D 13
E 15

09
What is the sum of the different positive prime factors of 550?
A 10
B 11
C 15
D 16
E 18
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10
g(x) = x2
+ 2, then 1 1
x - 1 g(2) g(x)
A 6(x - 1)
x2
+ 2
B 6(x2
+ 2)
x - 1
C x2
+ 2
2(x - 1)
D (x - 1)
6(x2
+ 2)
E x2
+ 2
6(x - 1)
( )( ) =

11
10012
- 9992
1012
- 992
A 10
B 20
C 40
D 80
E 100
=
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12
What is the greatest prime factor of 417
- 228
?
A 2
B 3
C 5
D 7
E 11
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13
If 2x
- 2x-2
= 3(213
), what is the value of x ?
A 9
B 11
C 13
D 15
E 17

14
A 30
B 20
C 18
D 12
E 6
The residents of Town X participated in a survey to determine the number of hours
per week each resident spent watching television. The distribution of the results of the
survey had a mean of 21 hours and a standard deviation of 6 hours. The number of
hours Pat, a resident of Town X, watched television last week was between 1 and 2
standard deviations below the mean. Which of the following could be the number of
hours that Pat watched television last week?
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15
If a certain sample of data has a mean of 20.0 and a standard
deviation of 3.0. which of the following values is more than 2.5
standard deviations from the mean ?
A 12.0
B 13.5
C 17.0
D 23.5
E 26.5

16
If (2x
)(3y
) = 288, where x and y are positive integers, then
(2x-1
)(3y-2
) =
A 16
B 24
C 48
D 96
E 144
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17
is P feet. If A = 2P + 9, what is the perimeter of the garden, in
feet ?
A 28
B 36
C 40
D 56
E 64

18
x
2w
A 2
B 4
C 8
D 16
E 32
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19
The lunch menu at a certain restaurant contains 4 different
entrees and 5 different side dishes. If a meal consists of 1
entree and 2 different side dishes, how many different meal
combinations could be chosen from this menu?
A 10
B 20
C 40
D 80
E 100

20
2(4-1)2
=
23-2
A 28
B 27
C 26
D 25
E 24
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21
In the addition table shown above, what is the value of m + n ?
A -19
B 4
C 5
D 6
E 22
+ x y z
4 1 -5 m
e 7 n 10
f 2 -4 5

22
1
, t2
, t3
, .........., tn
, ......., t1
= 23 and
tn
= tn-1
- 3 for each n > 1. What is the value of n when tn
= -4?
A -1
B 7
C 10
D 14
E 20
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23
3 teaspoons = 1 tablespoon
4 tablespoons = ¼ cup
According to the information above, how many teaspoons are
A 3
B 4
C 9
D 12
E 18

24
If two sides of a triangle have lengths 2 and 5, which of the
following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
A None
B I only
C II only
D II and III only
E I, II, and III
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25
the following is closest to the length, in feet, of the fence?
A 278
B 341
C 357
D 400
E 441
100 ft
100 ft

26
For which of the following functions is f(a + b) = f(a) + f(b) for
all positive numbers a and b?
A f(x) = x2
B f(x) = x + 1
D f(x) = 2
x
E f(x) = -3x
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27
A 4-person task force is to be formed from the 4 men and
3 women who work in Company G’s human resource
department. If there are to be 2 men and 2 women on the task
force, how many different task forces can be formed?
A 14
B 18
C 35
D 56
E 144

28
O. What is the value of s?
A 1
2
B 1
E 2
2
o x
y
Q(s,t)P(- 3,1
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29
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30
1. C
2. B
3. C
4. A
5. D
6. A
7. B
8. D
9. E
10. D
11. A
12. D
13. D
14. D
15. A
ANSWER KEY
16. A
17. B
18. A
19. C
20. D
21. C
22. C
23. E
24. A
25. C
26. E
27. B
28. B
29. B
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