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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
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

03
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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04
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

05
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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06
If k ≠ 0, 1, or -1, is 1 > 0 ?
k
(1) 1 > 0
k-1
(2) 1 > 0
k+1

07
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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08
If 2x
- 2x-2
= 3(213
), what is the value of x ?
A 9
B 11
C 13
D 15
E 17

09
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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10
The numbers of books read by 7 students last year were 10, 5,
read by the 7 students last year?
(2) p < r < 15

11
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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12
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

13
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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14
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

15
A 8
B 16
C 20
D 32
E 40
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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

17
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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18
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

19
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)
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20
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

21
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
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22
If b is positive, is ab positive?
(1) a2
b > 0
(2) a2
+ b = 13

23
If w and z are positive, is w < 1 ?
z
(1) w < z
(2) z < 4
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24
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

25
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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26
x
2w
A 2
B 4
C 8
D 16
E 32

27
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?
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28
If w, x and y are consecutive odd positive integers and
A -4
B -2
C -1
D 0
E 3

29
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
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30
What is the greatest integer that is less than t ?
(1)
t =
9
4
(2)
t =
-3 2
2( )

31
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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32
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

33
What is the value of v3
- k3
?
(1) vk > 0
(2) v - k = 6
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34
What is the value of 3n - 4
(1) 6n - 10 = 30
(2) n = 20
3 9

35
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
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36
(1) The dealer’s cost for the coffee table was $340
the selling price

37
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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38
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

39
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
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40
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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41
1. D
2. E
3. B
4. E
5. D
6. A
7. C
8. D
9. D
10. E
11. A
12. A
13. A
14. E
15. B
16. A
17. C
18. B
19. A
20. D
21. D
22. E
23. A
24. C
25. B
26. A
27. B
28. C
29. D
30. D
31. E
32. E
33. E
34. D
35. D
36. C
37. C
38. D
39. C
40. E
ANSWER KEY
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