Success Prep Gmat 200 Online

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GMAT 200 Problem Practice Test
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01
The number of years of service of the eight employees in a
production department are 15, 10, 9, 17,6, 4, 14 and 16. What
is the range of service of the eight employees?
A 10
B 11
C 12
D 13
E 14
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02
25
+ 25
+ 35
+ 35
+ 35
?
A 56
B 135
C 26
+ 36
D 27
+ 38
E 45
+ 95

03
If x is an even integer, which of the following must be an odd
integer?
A 3x
2
B 3x + 1
2
C 3x2
D 3x2
2
E 3x2
+ 1
2
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04
length?
A x4
B x3
C x2
D 2

05
Is x less than 20?
(1) The sum of x and y is less than 20
(2) y is less than 20
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06
If 521
× 411
= 2 × 10n
what is the value of n?
A 11
B 21
C 22
D 23
E 32

07
measure of angle PQR
(1) The measure of angle QPR is 30o
(2) The sum of the measures of angles PQR and PRQ is 150o
P S
R
Q
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08
A None
In the rectangular coordinate system above, for which of the shaded regions is the area 2 ?
P
O
x
y
8
8
4
4
Q
R
S
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09
How many hours would it take both pumps, working at their
pumping at the same time ?
A ¼
C 2
5
D 5
4
E 3
2

10
At a two-day seminar, 90 percent of those registered attended
did not attend the seminar on either day?
(1) A total of 1,000 people registered for the two-day seminar
(2) Of those registered, 80 percent attended the seminar on
the second day?
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11
height of the tree increased by a constant amount each year
for the next 6 years. At the end of the 6th year, the tree was 1
5
taller than it was at the end of the 4th year. By how many feet
did the height of the tree increase each year ?
A 3
10
B 2
5
C 1
2
D 2
3
E 6
5

12
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test
that recorded the number of ounces of coffee in each of the 1,000 cups dispensed by the
vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000
recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how
many of the 12 listed amounts are within 1.5 standard deviations of the mean?
A Four
B Six
C Nine
D Ten
E Eleven
7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
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13
A 0.80
B 1.25
C 8.00
D 12.50
E 80.00
The mass of 1 cubic meter of substance is 800 kilograms under
certain conditions. What is the volume, in cubic centimeters of
1 gram of this substance under these conditions?
(1 kilogram = 1000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
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14
the total distance to her destination. She stopped again after
stop and her destination, and then she drove the remaining
120 miles to her destination. What was the total distance in
miles from Maria’s starting point to her destination?
A 280
B 320
C 360
D 420
E 480

15
If the two regions above have the same area, what is the ratio
4
4
sst
t
t
s
s
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16
{ -10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10 }
A number is to be selected at random from the set above. what
is the probability that the number selected will be the solution
A 1
12
B 1
6
C 1
4
D 1
3
E 1
2

17
what is the circumference of T ?
A
B
C
D
E
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18
R =
24F
N
P + A
12
A certain bank uses the formular above to approximate the annual percentage rate R of a
monthly installment loan. Which of the following an equivalent form of the formula ?
A 24F (12P + A)
12N
B 24F
12NP + AN
C 2F
N(P + A)
D 288F
PN + AN
E 288F
12NP + AN

19
A sales person received a sales commission of 3 percent of the
4 percent of the sale price for each machine that she sold sfter
and the sales person received a $36,000 commission, how
many machines did she sell ?
A 90
B 103
C 105
D 115
E 120
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20
be repaid at the end of 3 years. What was the total amount that
A $10,180
B $10,190
C $10,600
D $11,800
E $11,910

21
Of the 50 employees of a certain company, 30 earn an average
(arithmetic mean) salary of $30,000, 15 earn an average salary
of $40,000 and 5 earn an average salary of $60,000. What is
the average salary earned by the employees of this company?
A $30,000
B $36,000
C $40,000
D $45,000
E $50,000
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22
Working alone at its own constant rate, a machine seals k
cartons in 8 hours and working alone at its own constant
rate, a second machine seals k cartons in 4 hours. If the
two machines each working at its own constant rate and for
the same period of time, together sealed a certain number
of cartons, what percent of the cartons were sealed by the
machine working at the faster rate?
A
B
C
D
E

23
For every integer k from 1 to 10, inclusive, the kth
term of a
k +1
1 .
2k
A greater than 2
B between 1 and 2
C
D
E less than ¼
( )
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24
If n is a positive integer less than 200 and 14n is an integer,
60
then n has how many different positive prime factors?
A Two
B Three
C Five
D Six
E Eight

25
A thin piece of wire 40 meters long is cut into two pieces.
One piece is used to form a circle with radius r, and the other
2
2
+ 10
2 2
r2
2 2
2 2
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26
certain job in 36 hours and a machine of type S does the same
job in 18 hours. If the company used the same number of each
type of machine to do the job in 2 hours, how many machines
A 3
B 4
C 6
D 9
E 12

27
If xy = 1, what is the value of 2(x+y)
2
?
2(x-y)2
A 2
B 4
C 8
D 16
E 32
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28
open positions. How many different groups of 4 applicants can
selection does not matter ?
A 18
B 72
C 180
D 1,260
E 3,060

29
Last year a certain bond with a face value of $5,000 yielded
8 percent of its face value in interest. If that interest was
approximately 6.5 percent of the bond's selling price,
approximately what was the bond's selling price ?
A $4,063
B $5,325
C $5,351
D $6,000
E $6,154
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30
If 0 < m < 1, which of the following expressions has the least
value?
A m
B m2
C m3
D 2 - m
E (m + 1)2

31
A 4 units of Country A currency
B 25 units of Country B currency
C 98 units of Country C currency
D 3 units of Country D currency
E 7 units of Country E currency
COUNTRY Number of Units of
Country X Currency
Country A 2.2
Country B 0.5
Country C 0.1
Country D 4.0
Country E 1.7
For each country listed in the left column of the table, the number in the right column
gives the number of units of Country X currency that is equivalent to 1 unit of the
country's currency. Which of the following is equivalent to the greatest number of units
of Country X currency ?
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32
A television manufacturer produces 600 units of a certain
model each month at a cost to the manufacturer of $90 per unit
and all of the produced units are sold each month. What is the
minimum selling price per unit that will ensure that the monthly
produce) on the sales of these units will be at least $42,000 ?
A $110
B $120
C $140
D $160
E $180

33
2 + 2 + 22
+ 23
+ 24
+ 25
+ 26
+ 27
+ 28
=
A 29
B 210
C 216
D 235
E 237
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34
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

35
If k and t are integers and k2
- t2
is an odd integer, which of the
following must be an even integer?
I. k + t + 2
II. k2
+ 2kt + t2
III. k2
+ t2
A None
B I only
C II only
D III only
E I, II, and III
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36
A certain store found that last year, the average (arithmetic
mean) monthly sales from January through October was
$120,000. In November and December, the monthly sales
were 3 and 5 times, respectively, the average for the other 10
months. What was the store's average monthly sales last year?
A $180,000
B $216,000
C $252,000
D $318,000
E $360,000

37
Each day Linda spends 6 hours at her baby-sitting job, for
which she is paid $15.00 per hour. In addition, Linda spends a
total of 1.5 hours each day, for which she is not paid, travelling
to and from the job. What is Linda's hourly rate of pay for the
total amount of time that she spends each day at her baby-
sitting job and travelling to and from that job ?
A $180,000
B $216,000
C $252,000
D $318,000
E $360,000
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06
(82
) (33
) (24
)
=
962
A 3
B 6
C 9
D 12
E 18

39
the two consecutive terms is negative. What is the number of
A One
B Two
C Three
D Four
E Five
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40
A 50
B 51
C 56
D 57
E 60
Month Number of Days
Worked
June 20
July 17
August 19
The table above shows the number of days worked by a certain sales representative
in each of three months last year. If the number of sales calls that the representative
made each month was proportional to the number of days worked in that month and
if the representative made a total of 168 sales calls in the three months shown, how
many sales calls did the representative make in August?

41
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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42
The product P of two prime numbers is between 9 and 55. If
one of the prime numbers is greater than 2 but less than 6 and
the other is greater than 13 but less than 25, then P =
A 15
B 33
C 34
D 46
E 51

43
If the average (arithmetic mean) of the 4 numbers n + 2,
2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
A 11
14
B 4
C 32
7
D 11
E 13
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44
A T
B U
C V
D Y
E Z
700
125
750
Note: Figure not drawn to scale
500
600
T
U
V W X
Y
Z
675

45
either white or red. If a rose is to be selected at random from
will be white is twice the probability that it will be red. How
A 5
B 10
C 15
D 20
E 25
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46
Over a certain time period, did the number of shares of stock in
(1) Over the time period, the ratio of the number of shares of
stock to the total number of shares of stocks and bonds in
(2) Over the time period, the total number of shares of stock

47
A certain list consists of several different integers. Is the
product of all the integers in the list positive
(1) The product of the greatest and smallest of the integers in
the list is positive
(2) There is an even number of integers in the list
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48
The cost of each adults' ticket for a certain concert was $30,
and the cost of each child's ticket for the concert was $24.
If Hannah purchased tickets for this concert, what was the
average (arithmetic mean) cost per ticket ?
(1) Hannah purchased twice as many children's tickets as
adults' tickets
(2) Hannah purchased 4 children's tickets

49
If n is a positive integer and r is the remainder when n2
- 1 is
divided by 8, what is the value of r ?
(1) n is odd.
(2) n is not divisible by 8.
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50
If (400)(6,000) = (240)(100x
), what is the value of x ?
A 5
B 10
C 15
D 20
E 25

51
If 3
x - b = c6
, then x =
A c2
+ b
B c6
+ b
C c9
+ b
D c12
+ b
E c18
+ b
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52
A between -9 and -10
B between -8 and -9
C between -4 and -5
D between -3 and -4
The value of 3
-89 is

53
A 0
B 1
C 2
D 3
E 4
For a certain race, 3 teams were allowed to enter 3 members
each. A team earned 6 - n points whenever one of its members
th
6 points, what is the least possible score a team could have
earned?
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54
A None
B One
C Two
D Three
E Four
number of prime factors whose product is n. For example, the
length of 75 is 3, since 75 = 3 × 5 × 5. How many two-digit
positive integers have a length of 6?

55
A 3
B 5
C 8
D 13
E 15
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 is the maximum number of books that any single student could have
borrowed?
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56
A I only
B II only
C III only
D I and II
E I and III
If 0 < r < 1< s < 2, which of the following must be less than 1 ?
I. r
s
II. rs
III. s - r

57
(2,0) (6,0) (10,0)
Q(8,4)
M(8,12)
(14,0)
LO P R N
x
y
A 1
9
B 1
8
C 1
6
D 1
5
E 1
3
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58
Each of the 25 balls in a certain box is either red, blue, or white and has a
number from 1 to 10 painted on it. If one ball is to be selected at random
from the box, what is the probability that the ball selected will either be white
or have an even number painted on it?
(1) The probability that the ball will both be white and have an
even number painted on it is 0.
(2) The probability that the ball will be white minus the probability that the
ball will have an even number painted on it is 0.2

59
A 10
B 11
C 15
D 16
E 18
What is the sum of the different prime factors of 550 ?
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60
mutual fund was 20 percent higher than it was as the beginning
was 50 percent higher than it was at the beginning of the year.
What was the percent increase in the share price from the end

61
A x
B x-1
C x2
E x3
If 0 < x < 1, what is the median of the values x, x-1
, x2
x3
?
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62
A 3 and 15
B 3 and 20
C 4 and 13
D 4 and 14
E 5 and 14
In a certain deck of cards, each card has a positive integer
written on it. In a multiplication game, a child draws a card and
multiples the integer on the card by the next larger integer. If
each possible product is between 15 and 200, then the least
and greatest integers on the cards could be ?

63
A d = p - 0.22
B d = p
1.22
C d = p - 0.18
1.04
D d = p - 0.18
1.04
E d = p - 0.04
1.18
In a certain state, gasoline stations compute the price per gallon p, in dollars,
charged at the pump by adding 4 percent sales tax to the dealers' price per
gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which
of the following gives the dealer's price per gallon d in terms of the price per
gallon p charged at the pump ?
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64
A 56
B 68
C 69
D 71
E 73
38, 69, 22, 73, 31, 47, 13, 82
Which of the following numbers is greater than three-fourths of
the numbers but less than one-fourth of the numbers in the list
above ?

65
A None
B One
C Two
D Three
E Four
40, 45, 45, 50, 50, 60, 70, 75, 95, 100
The scores on a certain history test are shown above. How
many scores were greater than the median score but lessthan
the mean score ?
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66
A 0.90
B 0.70
C 0.45
D 0.30
E 0.25
In the graduating class of a certain college, 48 percent of the
students are male and 52 percent are female. In this class 40
percent of the male and 20 percent of the female students are
25 years old or older. If one student in the graduating class is
randomly selected, approximately what is the probabbility that
he or she will be less than 25 years old.

67
For each of her sales, a sales woman receives a commission
the sale, plus 30 percent of the total amount of the sale in
excess of $500. If the total amount of one of her sales is $800,
then the saleswoman's commission was approximately what
percent of the total amount of the sale ?
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68
A d
B 3d
C 15d
D d + 5
E d + 15
If d is the standard deviation of x, y and z, what is the standard
deviation of x + 5, y + 5 and z + 5 ?

69
A Operator A
B Operator B
C Operator C
D Operator D
E Operator E
1:00 - 2:00 2:00 - 3:00 3:00 - 4:00 4:00 - 5:00
Operator A 3 7 7 3
Operator B 4 5 5 6
Operator C 8 2 5 5
Operator D 6 4 4 6
Operator E 3 4 5 8
4 one-hour periods. For which operator was the standard deviation of the number of
calls received during these 4 periods the least ?
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70
A x + y > y
B xz > xy
C tz < z
D mu
< 0
E tm
> 0
For the numbers on the number line above, which of the
following statements is true?
0-1
m x y z t u
1 2

71
In the xy-plane, line k has a positive slope and x-intercept 4. If
the area of the triangle formed by line k and the two axes is 12,
what is the y-intercept of line k ?
A -6
B -4
C -3
D 3
E 6
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72
A -x
B -1
C 1
D x
If x < 0, then -x|x| is

73
colored glass surrounded by a metal frame, represented by the shaded region. If
the radius of the medallion is r centimeters and the width of the metal frame is s
centimeters, then in terms of s and r, what is the area of the metal frame, in square
centimeters ?
2
2
- s2
)
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74
A x
T
B x
T - S
C Sx
T - S
D Sx
T(T - S)
E x(T - S)
T
to share equally the cost of a catered lunch. If the lunch costs a total of x
dollars and S of the coworkers fail to pay their share, which of the following
represents the additional amount, in dollars, that each of the remaining
coworkers would have to contribute so that the cost of the lunch is
completely paid?

75
A 2
B 9
C 15
D 21
E 30
A certain telephone company offers two plans, A and B. Under plan A, the
$0.06 per minute thereafter. Under plan B, the company charges $0.08 per
minute of each call. What is the duration of a call, in minutes, for which the
company charges the same amount under plan A and under plan B ?
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76
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)
( )( ) =

77
10012
- 9992
1012
- 992
A 10
B 20
C 40
D 80
E 100
=
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78
What is the greatest prime factor of 417
- 228
?
A 2
B 3
C 5
D 7
E 11

79
A $88.10
B $89.00
C $89.10
D $89.50
E $90.00
Source Price
Internet $80, with no sales tax, plus $10 shipping fee
Store X $90, a 10% discount, plus 10% tax on discounted price
Store Y $90, no tax
Store Z $90, a 10% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four diferrent ways, as shown in the table. What is
the lowest price for which he can purchase this item ?
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80
An investor purchased 20 shares of a certain stock at a price
of $45.75 per share. Later this investor purchased 30 more
shares at a price of $46.25 per share. what was the average
(arithmetic mean) price per share that the investor paid for the
50 shares?
A $45.80
B $45.95
C $46.00
D $46.05
E $46.20

81
Working alone at its own constant rate, a machine seals k cartons in 8
hours, and working at its own constant a second machine seals k cartons in
4 hours. If the two machines each working at its own constant rate and for
the same period of time, together sealed a certain number of cartons, what
percent of the cartons were sealed by the machine working at the faster
rate?
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82
1
, a2
, a3
, .........., an
, ......., each term
5
- a2
= 12,
what is the value of a1
?
A 4
B 24
7
C 2
D 12
7
E 6
7

83
A certain movie depicted product A in 21 scenes, product B in 7 scenes, product C in
4 scenes and product D in 3 scenes. The four product manufacturers paid amounts
proportional to the number of scenes in which their product was depicted in the movie. If
each manufacturer paid x dollars per scene, how much did the manufacturer of product D
pay for this advertising?
(1) The manufacturers of products A and B together paid a total of $560,000 for
this advertising
(2) The manufacturer of product B paid $60,000 more for this advertising than the
manufacturer of product C paid
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84
If k ≠ 0, 1, or -1, is 1 > 0 ?
k
(1) 1 > 0
k-1
(2) 1 > 0
k+1

85
If k is a line in the xy-plane, what is the slope of k?
(1) The x-intercept of k is 2
(2) The y-intercept of k is 3
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86
If 2x
- 2x-2
= 3(213
A 9
B 11
C 13
D 15
E 17

87
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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88
The numbers of books read by 7 students last year were 10, 5,
read by the 7 students last year?
(2) p < r < 15

89
If n is a positive integer and r is the remainder when n2
- 1 is
divided by 8, what is the value of r ?
(1) n is odd
(2) n is not divisible by 8
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90
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

91
In the xy-plane, line k has a positive slope and x-intercept 4. If
the area of the triangle formed by line k and the two axes is 12,
what is the y-intercept of line k ?
A -6
B -4
C -3
D 3
E 6

92
A certain farmer pays $30 per acre per month to rent farmland.
How much does the farmer pay per month to rent a rectangular
plot of farmland that is 360 feet by 605 feet ?
A $5,330
B $3,630
C $1,350
D $360
E $150
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93
A 8
B 16
C 20
D 32
E 40

94
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

95
mean) of (x + 2)2
and (x - 2)2
?
A x2
B x2
+ 2
C x2
+ 4
D x2
+ 2x
E x2
+ 4x
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96
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

97
If (2x
)(2y
) = 8 and (9x
)(3y
) = 81, then (x, y) =
A (1, 2)
B (2, 1)
C (1, 1)
D (2, 2)
E (1, 3)

98
Each unit of a certain product costs a manufacturer $9 to
produce. The manufacturer sells the product in boxes of 50
units for $560 per box. How many boxes of the product does
A 90
B 100
C 900
D 1,000
E 1,100
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99
One member of a committee of 5 men and 8 women resigned
and was not replaced. What fraction of the remaining members
were men?
(1) 7 of the remaining members were women
12
(2) The member who resigned was a woman

100
If b is positive, is ab positive?
(1) a2
b > 0
(2) a2
+ b = 13
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101
If w and z are positive, is w < 1 ?
z
(1) w < z
(2) z < 4

102
A certain circular area has its center at point P and has radius
4, and points X and Y lie in the same plane as the circular
area. Does point Y lie outside the circular area?
(1) The distance between point P and point X is 4.5
(2) The distance between point X and point Y is 9

103
If w, x, y, and z are numbers on the number line shown, which
of the following products is least?
A wy
B wz
C xy
D xz
E yz
-2 -1 x y 0 z 1 2w
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104
x
2w
A 2
B 4
C 8
D 16
E 32

105
A 3
B 4
C 5
D 6
E 8
Type of Cake Eggs Flour Sugar
Angel Food 6 3 cups 1 cup
Devil’s Food 3 4 cups 2 cups
Pound 2 4 cups 1 cup
make one cake of each of the three different types. If the baker had 24 eggs, 30 cups
devil’s food cake, what is the maximum number of pound cakes that the baker could
make with the remaining ingredients?

106
If w, x and y are consecutive odd positive integers and
A -4
B -2
C -1
D 0
E 3
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107
In 1984, a certain union had a total of 15,600 members. Was the percent increase in
the total number of members in the union from 1984 to 1985 greater than that from
1985 to 1986
(1) From 1984 to 1985, the total number of members in the union increased by 781,
and from 1985 to 1986, the total number of members in the union again
increased by 781
(2) In 1985, the union had a total of 16,381 members and in 1986, the union had a
total of 17,162 members

108
What is the greatest integer that is less than t ?
(1)
t =
9
4
(2)
t =
-3 2
2( )

109
Does set S contain any even numbers
(1) There are no prime numbers in S
(2) There are no multiples of 4 in S
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110
Three thousand families live in a certain town. How many
families who live in the town own neither a car nor a television
set?
(1) Of the families who live in the town, 2,980 own a car
(2) Of the families who live in the town, 2,970 own both a car
and a television set

111
What is the value of v3
- k3
?
(1) vk > 0
(2) v - k = 6

112
What is the value of 3n - 4
(1) 6n - 10 = 30
(2) n = 20
3 9
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113
If eleven consecutive integers are listed from least to greatest,
what is the average (arithmetic mean) of the eleven integers?
(2) The average of the last nine integers is 9

114
(1) The dealer’s cost for the coffee table was $340
the selling price

115
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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116
The distributor of cases of a certain beverage charges $60 per
case for orders of 1 to 5 cases, $50 per case for orders 6 to
20, and $45 per case for orders of more than 20 cases. If the
of the beverage and one for 30 cases of the beverage, what
was the total amount the distributor charged for the orders?
A $1,960
B $2,000
C $2,040
D $2,080
E $2,120

117
A certain bakery has 6 employees. It pays annual salaries of
$14,000 to each of 2 employees, $16,000 to 1 employee and
$17,000 to each of the remaining employees. The average
(arithmetic mean) annual salary of these employees is closest
to which of the following?
A $15,200
B $15,500
C $15,800
D $16,000
E $16,400

118
Each day Linda spends 6 hours at her baby-sitting job, for
which she is paid $15.00 per hour. In addition, Linda spends a
total of 1.5 hours each day, for which she is not paid, travelling
to and from the job. What is Linda’s hourly rate of pay for the
total amount of time that she spends each day at her baby-
sitting job and travelling to and from that job?
A $7.50
B $9.00
C $10.00
D $10.75
E $12.00
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119
2(4 -1)
2
=
23 -2
A 28
B 27
C 26
D 25
E 24

120
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

121
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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122
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

123
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

124
Is x + y negative ?
(1) x is negative
(2) y is positive
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125
In the triangle ABC above, what is the length of side BC ?
(1) Line segment AD has a length 6
(2) x = 36
A 2xo
2xo
xo
C
D
B

126
cups of pasta.
use the next time he prepares this dish ?
servings as he did the last time he prepared the dish

127
If l and k are lines in the xy-plane, is the product of the slopes
of l
(1) Line l passes through the origin and the point (1,2).
(2) Line k has x-intercept 4 and y-intercept 2.
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128
inclusive, what is the value of a - b ?
A 1
B 10
C 19
D 20
E 21

129
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

130
Company C has a machine that, working alone at its constant rate,
processes 100 units of a certain product in 5 hours. If Company C plans to
buy a new machine that will process this product at a constant rate and if
the two machines, working together at their respective constant rates, are
to process 100 units of this product in 2 hours, what should be the constant
rate, in units per hour, of the new machine ?
A 50
B 45
C 30
D 25
E 20

131
If a = 7 and b = -7, what is the value of 2a - 2b + b2
?
A -49
B 21
C 49
D 63
E 77
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132
A certain kennel will house 24 dogs for 7 days. Each dog
purchases dog food in cases of 30 cans each and if each can
holds 8 ounces of dog food, how many cases will the kennel
need to feed all of the dogs for 7 days ?
A 5
B 6
C 7
D 8
E 9

133
If x = 2 , then x - y =
y 3 x
C 1
3
D 1
2
E 5
2

134
(1) 14 and 35 are factors of N
(2) N = (25
)(32
)(57
)(76
)

135
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
C
D f(x) = 2
x
E f(x) = -3x
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136
In the xy-plane, at what two points does the graph of
y = (x + a)(x + b) intersect the x-axis ?
(1) a + b = -1
(2) The graph intersects the y-axis at (0, -6)

137
Is p + pz = p ?
(1) p = 0
(2) z = 0

138
Machine A, working alone at its constant rate, manufactures
280 bolts per hour, and machine B, working alone at its
constant rate, manufactures 220 bolts per hour. How many
hours will it take for machines A and B, working together at
their respective constant rates, to manufacture 1,000 bolts ?
A 1
B 1.3
C 1.5
D 1.8
E 2
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139
1 + 0.0001
0.04 + 10
The value of the expression above is closest to which of the
following ?
A 0.0001
B 0.001
C 0.1
D 1
E 10

140
Mary purchased 3 theater tickets with an average (arithmetic
mean) price of $8. If Mary also purchases a fourth theater
ticket with a price of $16, what is the average price of all 4
theatre tickets ?
A $4
B $6
C $8
D $10
E $12

141
A 4-person task force is to be formed from the 4 men and
3 women who work in Company G's human resources
department. If there are to be 2 men and 2 women on this task
force, how many different task forces can be formed ?
A 14
B 18
C 35
D 56
E 144
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142
At a repair shop, the total cost of a repair consists of the
charge for parts and a charge of $22.00 per hour for labor. If
the total cost of a certain repair at the shop was $249.75 and
the charge for parts was $150.75, then the labor charge was
for how many hours of labor ?
A 4.5
B 5
C 5.5
D 6.5
E 9

143
How many of the 42 people in a group are employed
students?
(1) 29 of the 42 people are employed
(2) 24 of the 42 people are students

144
A store sells milk in cartons of two sizes, one-half gallon and one-quarter
gallon. If the store sold a total of 300 cartons of milk yesterday, how many
gallons of milk did it sell yesterday?
(1) Yesterday the store sold 120 one-quarter gallon cartons of milk
(2) Yesterday the store sold 90 gallons of milk in one-half gallon cartons
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145
A wooden rod is cut into two pieces. What is the length of the
longer piece?
(1) One of the pieces is 20 inches longer than the other piece
longer piece

146
At a certain restaurant, if each hamburger costs the same
amount, what is the cost, excluding sales tax of 1 hamburger?
(1) The total cost, including a 6 percent sales tax, is $4.77 for
3 hamburgers
(2) The total cost, including a 6 percent sales tax, is less than
$6.50 for 4 hamburgers

147
If the product of the three digits of the positive integer k is 14,
what is the value of k?
(1) k is an odd integer
(2) k < 700

148
cost of $8.25. Each pot cost $0.25 more than the next one
below it in size. What is the cost, in dollars, of the largest pot ?
A $1.75
B $1.85
C $2.00
D $2.15
E $2.30
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149
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 $1.75
B $1.85
C $2.00
D $2.15
E $2.30

150
integers in M an odd number ?
(1) The product of all the integers in M is odd.
(2) The product of all the integers in M is negative.

151
What is the retail price of a certain calculator ?
(1) The retail price of the calculator is $2.00 more than the
wholesale price.
(2) The retail price of the calculator is 50 percent more than
the $4.00 wholesale price

152
What is the average (arithmetic mean) of eleven consecutive
integers ?
(2) The average of the last nine integers is 9

153
If x is positive, what is the value of y?
(1) 5x = 15
(2) xy + y = 18
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154
Is x to the right of -5 on the number line ?
(1) x is to the right of -7 on the number line.
(2) x is between -4 and -3 on the number line.

155
If 521
× 411
= 2 × 10n
what is the value of n?
A 11
B 21
C 22
D 23
E 32

156
If 2x
- 2x-2
= 3(213
A 9
B 11
C 13
D 15
E 17
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157
If x is a negative integer, which of the following expressions
has the LEAST value ?
A x2
- 0.50
B x2
- 0.51
C x3
- 0.502
D x3
- 0.511
E x4
- 0.512

158
According to the directions on a can of frozen orange juice
concentrate, 1 can of concentrate is to be mixed with 3 cans of
water to make orange juice. How many 12-ounce cans of the
orange juice ?
A 25
B 34
C 50
D 67
E 100

159
What is the length of the hypotenus of the triangle ?
A 8
B 16

160
Is x + y negative ?
(1) x is negative.
(2) y is positive.

161
What is the remainder when the positive integer x is divided by
3 ?
(1) When x is divided by 6, the remainder is 2.
(2) When x is divided by 15, the remainder is 2
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162
The formular F = C + 32 gives the relationship between the
temperature in degrees Fahrenheit, F and the temperature
given in degrees Celsius, C. If the temperature is 85 degrees
Fahrenheit, what is the temperature, to the nearest degree, in
Celsius?
A 18o
C
B 23o
C
C 29o
C
D 47o
C
E 51o
C
9
5

163
In isoceles angle
(1) The measure of angle T is 100o
.
(2) The measure of angle S is 40o
.

164
For the students in class A, the range of heights is r centimeters and the
greatest height is g centimeters. For the students is class B, the range of
their heights is s centimeters and the greatest height is h centimeters. Is
the least height of the students in class A greater than the least height of
students in class B ?
(1) r < s
(2) g > h

165
On a certain sight-seeing tour, the ratio of the number of
women to the number of children was 5 to 2. what was the
number of men on the sight-seeing tour ?
(1) On the sight-seeing tour, the ratio of the number of
children to the number of men was 5 to 11
(2) The number of women on the sight-seeing tour was less
than 30.

166
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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167
If r and s are integers and rs + r is odd, which of the following
must be even ?
A r
B s
C r + s
D rs - r
E r2
+ s

168

169
A company has two types of machines, type R and type S. Operating at
a constant rate, a machine of type R does a certain job in 36 hours and a
machine of type S does the same job in 18 hours. If the company used the
same number of each type of machine to do the job in 2 hours, how many
machines of type R were used?
A 3
B 4
C 6
D 9
E 12
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170
2
=x
A -1
B 0
C 1
D x
E |x|
x

171
Which of the following is an integer?
I. 12! II. 12! III. 12!
6! 8! 7!5!
A I only
B II only
C III only
D I and II only
E I, II, and III

172
Lines n and p lie in the xy-plane. Is the slope of line n less than
the slope of line p ?
(1) Lines n and p intersect at the point (5,1).
(2) The y-intercept of line n is greater than the y-intercept of
line p

173
(1) m + n < 0
(2) mn < 0
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174
At a speed of 50 miles per hour, a certain car uses 1 gallon of
gasoline every 30 miles. If the car starts with a full 12 gallon
tank of gasoline and travels for 5 hours at 50 miles per hour,
the amount of gasoline used would be what fraction of a full
tank ?
A 3
25
B 11
36
C 7
12
D 2
3
E 25
36

175
Of the following, which is the least ?
A 1
0.2
B (0.2)2
C 0.02
D 0.2
2
E 0.2

176
A 60 - 69
B 70 - 79
C 80 - 89
D 90 - 99
E It cannot be determined from the information given
Score Interval Number of
Scores
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
2
10
16
27
18
The table above shows the distribution of test scores for a group of management
trainees. Which score interval contains the median of the 73 scores ?

177
From a bag containing 12 identical blue balls, y identical yellow
balls, and no other balls, one ball will be removed at random.
If the probability is less than 2/5 that the removed ball will be
blue, what is the least number of yellow balls that must be in
the bag?
A 17
B 18
C 19
D 20
E 21
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178
is either increased by $0.30 or doubled, whichever results
fourth day it is overdue ?
A $0.60
B $0.70
C $0.80
D $0.90
E $1.00

179
which operation does it represent?

180
What is the value of n ?
(1) n is between 0 and 1.
(2) 7 is 3 more than n.
16 8

181
Pat bought 5 pounds of apples. How many pounds of pears
could Pat have bought for the same amount of money ?
(1) One pound of pears costs $0.50 more than one pound of
apples
pound of apples.

182
1,000 tools per day for n days. What is the value of n ?
(1) Because of production problems, the manufacturer
(2) Because of production problems, the manufacturer had to
produce 1,500 tools per day on each of the last 4 days in
order to meet the schedule
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183
In a certain conference room each row of chairs has the same
number of chairs, and the number of rows is 1 less than the
number of chairs in a row. How many chairs are in a row?
(1) There is a total of 72 chairs.
(2) After 1 chair is removed from the last row, there is a total
of 17 chairs in the last 2 rows.

184
Alice's take-home pay last year was the same each month, and she saved
the same fraction of her take-home pay each month. The total amount of
money that she had saved at the end of the year was 3 times the amount
of that portion of her monthly take-home pay that she did not save. If all the
money that she saved last year was from her take-home pay, what fraction of
her take-home pay did she save each month?
C 1
4
D 1
5
E 1
6

185
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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186
integers in M an odd number ?
(1) The product of all the integers in M is odd.
(2) The product of all the integers in M is negative.

187
During a one-day sale, a store sold each sweater of a certain type for $30
more than the store's cost to purchase each sweater. How many of these
sweaters were sold during the sale ?
(1) During the sale, the total revenue from the sale of these sweaters
was $270.
(2) During the sale, the store sold each of these sweaters at a price that
was 50 percent greater than the store's cost to purchase each sweater.

188
The sum of the integers in list S is the same as the sum of the
integers in list T. Does S contain more integers than T ?
(1) The average (arithmetic mean) of the integers in S is less
than the average of the integers in T.
(2) The median of the integers in S is greater than the median
of the integers in T.

189
The attendees at a certain convention purchased a total of
15,000 books. How many of these attendees were female ?
(1) There was a total of 4,000 attendees at the convention.
(2) The male attendees purchased an average (arithmetic
mean) of 3 books each, and the female attendees
purchased an average of 5 books each.
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190
On the number line, the distance between x and y is greater
than the distance between x and z. Does z lie between x and y
on the number line ?
(1) xyz < 0
(2) xy < 0
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191
ANSWER KEY
1. D
2. C
3. E
4. E
5. E
6. B
7. D
8. D
9. C
10. B
11. D
12. E
13. B
14. B
15. D
16. B
17. D
18. E
19. D
20. D
21. B
22. D
23. D
24. B
25. E
26. C
27. D
28. E
29. E
30. C
31. B
32. D
33. A
34. D
35. A
36. A
37. E
38. A
39. C
40. D
41. B
42. E
43. B
44. B
45. D
46. C
47. C
48. D
49. A
50. D
51. E
52. C
53. D
54. C
55. D
56. A
57. A
58. E
59. E
60. B
61. A
62. C
63. D
64. D
65. B
66. B
67. B
68. A
69. B
70. E
71. A
72. A
73. E
74. D
75. B
76. D
77. A
78. D
79. B
80. D
81. D
82. E
83. D
84. A
85. C
86. D
87. D
88. E
89. A
90. A
91. A
92. E
93. B
94. A
95. C
96. B
97. A
98. D
99. D
100. E
101. A
102. C
103. B
104. A
105. B
106. C
107. D
108. D
109. E
110. E
111. E
112. D
113. D
114. C
115. C
116. D
117. C
118. E
119. D
120. C
121. C
122. E
123. A
124. E
125. A
126. C
127. C
128. B
129. C
130. C
131. E
132. C
133. A
134. D
135. E
136. C
137. D
138. E
139. C
140. D
141. B
142. A
143. E
144. D
145. C
146. A
147. E
148. C
149. A
150. B
151. B
152. D
153. C
154. B
155. B
156. D
157. D
158. A
159. B
160. E
161. D
162. C
163. A
164. C
165. C
166. B
167. B
168. B
169. C
170. E
171. E
172. C
173. B
174. E
175. C
176. C
177. C
178. B
179. B
180. B
181. B
182. E
183. D
184. D
185. D
186. B
187. C
188. A
189. C
190. E
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