success prep gmat prob. solvn
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Practice Questions Courtesy: www.mba.com
GMAT Problem Solving Practice TestPowered by:
Success Prepwww.successprep.com
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01
:KLFK�RI�WKH�IROORZLQJ�LV�HTXDO�WR�WKH�YDOXH�RI� 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
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03
$�VPDOO�ZDWHU�SXPS�ZRXOG�WDNH���KRXUV�WR�¿OO�DQ�HPSW\�WDQN��$�ODUJHU�SXPS�ZRXOG�WDNH�ò�KRXU�WR�¿OO�WKH�VDPH�WDQN��+RZ�many hours will it take both pumps, working at their respective FRQVWDQW�UDWHV��WR�¿OO�WKH�HPSW\�WDQN��LI�WKH\�EHJDQ�SXPSLQJ�DW�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
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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
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07
,Q�WKH�¿JXUH�EHORZ��WKH�UDGLXV�RI�WKH�FLUFOH�with center O is 1 and BC = 1. What is the area of the triangular region ABC?
$� ¥��»��
%� ¥��»��
C 1
'� ¥�
(� ¥�
A
B
CO
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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
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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
)RU�DOO�QXPEHUV�[�VXFK�WKDW�[������LI�J�[��LV�GH¿QHG�E\� 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)
( ) ( ) =
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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
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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
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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
7KH�DUHD�RI�D�VTXDUH�JDUGHQ�LV�$�VTXDUH�IHHW�DQG�WKH�SHULPHWHU�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
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18
,I�WKH�RSHUDWLRQ�͞��LV�GH¿QHG�IRU�DOO�SRVLWLYH�LQWHJHUV�[�DQG�Z�E\�[�͞�Z� ��x ��WKHQ����͞����͞��� 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
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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 z4 1 -5 me 7 n 10f 2 -4 5
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22
,Q�WKH�DULWKPHWLF�VHTXHQFH�W1, 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 HTXDO�WR�Ǫ�FXS"
A 3
B 4
C 9
D 12
E 18
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24
If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?
I. 9II. 15III. 19
A None
B I only
C II only
D II and III only
E I, II, and III
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25
7KH�¿JXUH�VKRZQ�UHSUHVHQWV�D�SLHFH�RI�ODQG�WKDW�LV�WKH�VKDSH�RI�D�TXDUWHU�FLUFOH��,I�WKH�ODQG�LV�HQFORVHG�E\�D�IHQFH��ZKLFK�RI�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
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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
&� I�[�� �¥[
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
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28
,Q�WKH�¿JXUH�DERYH��SRLQWV�3�DQG�4�OLH�RQ�WKH�FLUFOH�ZLWK�FHQWHU�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
7KH�SHULPHWHUV�RI�VTXDUH�UHJLRQ�6�DQG�UHFWDQJXODU�UHJLRQ�5�DUH�HTXDO��,I�WKH�VLGHV�RI�5�DUH�LQ�WKH�UDWLR������ZKDW�LV�WKH�UDWLR�RI�WKH�DUHD�RI�UHJLRQ�5�WR�WKH�DUHD�RI�UHJLRQ�6�"
$� �������
%� �������
&� �����
'� �����
(� �����
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30
1. C2. B3. C4. A5. D6. A7. B8. D9. E10. D11. A12. D13. D14. D15. A
ANSWER KEY
16. A17. B18. A19. C20. D21. C22. C23. E24. A25. C26. E27. B28. B29. B
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