1 The Wilson family plans to save an equal amount each month for a calendar year so that they may purchase a $7,200 item at the end of the year. If the Wilsons have saved $2,540 by the end of the fourth month, by how much have the Wilsons saved more than they planned to?

A $60

B $120

C $140

D $160

E $240

2 The number 2 - !! is how many times the

number 1 - !! ?

A 1

B 2

C 3

D 4

E 5

3 The average annual precipation in a certain region is 828mm, with an equal amount falling each month. If the total precipitation for the first five months of 1997 was 287mm, how much less precipitation fell than average in the five-month period?

A 48mm

B 53mm

C 57mm

D 58mm

E 63mm

4 !"!"#

=

A 0.720

B 0.725

C 0.748

D 0.752

E 0.792

5 In order for a certain referendum to become law in Country X, it must receive a "yes" vote from at least 70% of eligible voters. If Country X has 4,000 eligible voters and received 96 too few "yes" votes to become law, what percent of eligible voters voted "yes" on the referendum?

A 60.4%

B 62.4%

C 65.0%

D 67.6%

E 68.6%

6 0.1 + (0.1)3 + (0.1)5 =

A 0.1

B 0.111

C 0.10101

D 0.10201

E 0.3

7 When !!""

percent of 2,000 is subtracted

from !!""

of 2,000, the difference is

A 0.8

B 18

C 19.8

D 180

E 198

8 7(19.99) + 3(19.95) =

A 7(19.98) + 3(19.96)

B 8(20.00) + 2(19.89)

C 9(20.00) + 19.89

D 9(20.00) + 19.79

E 10(19.97)

9 If a certain sample of data has a mean of 20.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?

A (14.0,16.5)

B (14.5, 21.0)

C (14.0, 26.5)

D (16.5, 26.0)

E (21.0, 26.5)

10 Which of the following is the value of 0.000001! ?

A 0.1

B 0.01

C 0.001

D 0.0001

E 0.000001

11 A certain playground has 9 sandboxes, 6 of which require 11!

! cubic feet of sand to

fill, and 3 of which require 9!! cubic feet

of sand to fill. What is the average amount of sand needed to fill one of the 9 sandboxes?

A 10

B 10!!

C 10 !!"

D 10!!

E 11

12 In the Initial Public Offering (IPO) of Company X stock, one investor purchased 20 percent of the stock, while another investor purchased 40 percent of the remaining stock. Between them, what percent of the stock did these two investors purchase?

A 48

B 50

C 52

D 56

E 60

13 What is the combined area, in square inches, of the front and back of a rectangular index card measuring 5!

!

inches by 7 inches ?

A 35

B 38.5

C 77

D 140

E 154

14 1.2 billion is what percent of 600 million?

A 50%

B 200%

C 500%

D 2,000%

E 5,000%

15 The ratio 2 to !! is equal to the ratio

A 3 to 1

B 3 to 2

C 4 to 3

D 2 to 3

E 1 to 3

16 Decreasing the original price of an item by 35% and then increasing the new price by 15% is equivalent to decreasing the original price by

A 20.00%

B 25.25%

C 27.50%

D 44.75%

E 50.00%

17 Running at the same constant rate, 4 identical machines can produce a total of 220 casings per minute. At this rate, how many casings could 6 such machines produce in 3 minutes?

A 330

B 660

C 880

D 990

E 1320

18 A shirt normally priced at $27.95 was put on sale. If the discount was less than 10%, but no more than 15%, the sale price of the shirt must have been between

A $24 and $27

B $23 and $26

C $22 and $25

D $21 and $24

E $20 and $23

19 The average (arithmetic mean) of 10, 30, 50, and 70 is 5 more than the average of 20, 40, and

A 35

B 40

C 45

D 50

E 60

20 In the formula, V = !(!!)!

, if r is tripled, then V is multiplied by

A 3

B !!

C !!

D !!

E !!

21 ( 2 + 3)( 2 - 3) =

A -7

B 3 - 3

C -1

D 2 2 - 3

E 7

22 A florist has a staff of eight full-time employees. It pays annual salaries of $13,000 to each of 3 employees, $16,000 to each of 2 employees, and $18,000 to the remaining 3 employees. The average (arithmetic mean) annual salary of the eight employees is equal to which of the following?

A $15,000

B $15,375

C $15,625

D $15,875

E $16,000

23 A = {3, 4, 5, 6} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A 0.05

B 0.10

C 0.15

D 0.20

E 0.33

24 I. 14.82, 14.82, 14.82, 14.82, 14.82 II. 13.22, 14.82, 14.82, 14.82, 16.12 III. 14.62, 14.72, 14.82, 14.92, 15.02 The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?

A I, III, II

B II, I, III

C II, III, I

D III, I, II

E III, II, I

25 The temperatures in degrees Fahrenheit recorded at 8:00 in the evening in various parts of a certain country were 40, 35, 26, 25, 20, and 50. What is the median of these temperatures?

A 25.5

B 30

C 30.5

D 31

E 32

26 What is the 23rd digit to the right of the decimal point in the decimal form of !

!!?

A 3

B 4

C 5

D 6

E 7

27 Which of the following CANNOT be the median of the three positive integers a, b, and c ?

A b

B a - c

C a - b - c

D a+b - c

E a+b+c

28 An executive found that, in a 180-day period, he spent time at his company's branch locations in New York, Boston, and Los Angeles in the ratio 2 : 5 : 8, respectively. How many days did he spend in Boston during this period?

A 12

B 24

C 60

D 90

E 96

29 If 0.0010203 x 10n is greater than 100,000, what is the least possible integer value of n?

A 5

B 6

C 7

D 8

E 9

30 The average (arithmetic mean) of 5 numbers is 7.6. When one number is discarded, the average of the remaining numbers becomes 7.0. What is the discarded number?

A 3.0

B 6.5

C 9.6

D 10.0

E 12.4

31 0.1+(0.2)2 + (0.3)3 =

A 0.123

B 0.149

C 0.167

D 0.6

E 3.2

32 The number 2 - 0.25 is how many times the number 1 - 0.25?

A 1

B 1 !!

C 2

D 2 !!

E 2 !!

33 If x = !! then x4 + x3 + x2 + x =

A !!"

B !!

C !"!"

D 1

E 2

34 !!

!− !

!!!=

A − !!"

B − !!"

C − !!"

D !!"

E !!"

35 479 is between

A 21 and 22

B 22 and 23

C 23 and 24

D 24 and 25

E 25 and 26

36 When !!"

percent of 5,000 is subtracted

from !! of 1,000, the difference is

A -300

B -4

C 5

D 195

E 200

37 A certain tax rate is $0.79 per $100.00. What is this rate, expressed as a percent?

A 79%

B 7.9%

C 0.79%

D 0.079%

E 0.0079%

38 Which of the following must be equal to zero for all real numbers x ? I. !!

!!

II. !

!

III. (-x) + x

A I only

B III only

C I and II only

D I and III only

E II and III only

39 Which of the following is NOT equal to the square of an integer?

A 1

B !!

!!

C 81

D 41 - 9

E 36

40 In City Y, 20 percent of the population consists of children, and 52 percent of the remainder consists of adult women. If the population of City Y is 1.2 million and every person is either an adult or a child, how many adult men are there in City Y?

A 360,000

B 460,800

C 480,000

D 499,200

E 520,000

41 !"!"#

=

A 0.450

B 0.475

C 0.480

D 0.488

E 0.492

42 If 1 mile is approximately 1.61 kilometers, which of the following best approximates the number of miles in 10 kilometers?

A 3.1

B 5.8

C 6.2

D 11.6

E 16.1

43 The arithmetic mean and standard deviation of a certain normal distribution are !

! and !

!, respectively. What value is

exactly 2 !! standard deviations less than

the mean?

A 0

B !!"

C !!

D !!

E !!

44 Marcia invested $10,000 in a mutual fund account exactly three years ago. The value of the account increased by 5 percent during the first year, decreased by 10 percent during the second year, and increased by 10 percent during the third year. What is the value of the account today?

A $10,350

B $10,395

C $10,500

D $11,500

E $12,705

45 If S = {4, 0,11, 8,1, 6}, what is the positive difference between the median of the numbers in S and the mean of the numbers in S?

A 0.0

B 0.5

C 1.0

D 1.5

E 2.0

46 Of the following, which is least?

A !!.!

B (0.3)2

C 0.03

D !.!!

E 0.3

47 The regular price per can of a certain brand of soup is $0.30. If the regular price per can is discounted 20 percent when the soup is purchased in 12-can boxes, what is the price of 60 cans of this brand of soup purchased in 12-can boxes?

A $3.60

B $12.00

C $14.40

D $16.20

E $18.00

48 Of the 24 students in a typing class, 9 can type a basic business letter in an average of 512 minutes, while the other 15 students can type the same letter in an average of 715 minutes. What is the average amount of time it takes, in minutes, for a student in the typing class to type a basic business letter?

A 6 !!

B 6 !!!"

C 6 !!"

D 6 !!

E 6 !!"

49 The regular price of a local bus fare in City X is $1.50. If the regular price is discounted 20 percent when a bus pass of 50 or more rides is purchased, what is the price of a bus pass of 80 rides?

A $60

B $96

C $105

D $108

E $120

50 In a recent election, Jorge received 0.8 percent of the 3,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would Jorge have needed to win the election?

A 1261

B 1475

C 1477

D 1501

E 1525

51 The contents of a certain jar consist of 16 chocolate chip cookies and 23 oatmeal cookies. How many oatmeal cookies must be removed from the box so that 80 percent of the cookies in the box will be chocolate chip?

A 4

B 8

C 12

D 19

E 20

52 If a certain sample of data has a mean of 18.0 and a standard deviation of 2.5, which of the following values is more than 3.0 standard deviations from the mean?

A 11.0

B 14.5

C 16.5

D 23.0

E 26.5

53 Increasing the original price of an item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by

A 56.25%

B 53.75%

C 51.25%

D 50.00%

E 37.50%

54 On Monday a music retailer sold 50 compact discs at the retail price of $18.00. On Tuesday she sold 30% more compact discs at a discount of 20% off the original price. By what amount did her revenues increase on the second day?

A $10.00

B $36.00

C $42.50

D $72.00

E $144.00

55 A researcher computed the mean, the median, and the standard deviation for a set of test scores. If 50 were to be added to each score, which of these three statistics would change?

A The mean only

B The median only

C The standard deviation only

D The mean and the median

E The mean and the standard deviation

56 What is the 22nd digit to the right of the decimal point in the decimal form of !

! ?

A 5

B 6

C 7

D 8

E 9

57 Last month a certain video club offered a discount to preferred customers. After the first video purchased, preferred customers paid $6.99 for each additional video purchased. If a preferred customer purchased a total of 6 videos and paid $23.95 for the first video, then the dollar amount that the customer paid for the 6 videos is equivalent to which of the following?

A 5(7.00) + 23.90

B 5(7.00) + 23.95

C 5(7.00) + 24.00

D 5(7.00 - 0.01) + 23.90

E 5(7.00 - 0.05) + 23.95

58 If ! = !!"

, what is the value of ! ?

A !!

B !! !

C !!

D !! !

E !!

59 Laura deposited $5,000 to open a new savings account that earned six percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Laura's account 6 months after the account was opened?

A $5,050

B $5,100

C $5,150

D $5,250

E $5,300

60 Of the following, the closest

approximation of !".!"(!"#.!)!!.!"

is

A 0.5

B 2

C 5

D 20

E 50

61 How much is 30 percent of a certain number?

(1) 10 percent of the number is 8.

(2) 20 percent of twice the number is 36.

62 Is r greater than 0.52?

(1) r is greater than !!.

(2) r is equal to !!.

63 What is the value of the sum of a list of n odd integers?

(1) Each integer after the first on the list is the square of the previous integer.

(2) n = 4

64 Bill and Luke each received an increase in salary. Which one received the greater dollar increase?

(1) Bill's salary increased 6 percent.

(2) Luke's salary increased 9 percent.

65 What is the ratio of x to y?

(1) x is 30% less than y.

(2) x is more than 30% of y.

66 If P is an integer between 10 and 100, what is the value of P ?

(1) One of R's digits is the square of the other digit.

(2) The second digit of R is half the first digit.

67 If an item is purchased for x percent less than its retail price, and then sold for y percent less than its retail price, what was the retail price of the item?

(1) The item was purchased for $56

(2) x = 20

68 If x and y are positive, what is the value of y ?

(1) x = 2.247y

(2) x = 5.724

69 Joseph wants to schedule a full-day meeting in November with co-workers Karla and Lawrence. Is there a full day in November that is open for Joseph, Karla, and Lawrence?

(1) Joseph is not available on any even-numbered days in November, and on even-numbered days, Lawrence is only available in the morning.

(2) Karla is not available on any odd-numbered days in November.

70 An art dealer purchased 12 paintings last month. How many of those did she sell by the end of the month?

(1) By the end of the month, the art dealer had sold fewer than 23 of the paintings she purchased last month.

(2) By the end of the month, the art dealer had sold more than 12 of the paintings she purchased last month.

71 Is the prime number m equal to 31 ?

(1) m2 is greater than 900.

(2) m2 is less than 1600.

72 What was the amount of money awarded to a prizewinner?

(1) Of the amount awarded, $20,000 must be used toward the prizewinner's education.

(2) Of the amount awarded, 80% must be used toward the prizewinner's education.

73 A certain 3-liter solution of water and concentrate consists of w liters of water and c liters of concentrate. How many liters of concentrate does the solution contain?

(1) If the amount of concentrate were doubled, the ratio of w to c would be 5 : 2.

(2) If the amount of water were doubled, the ratio of w to c would be 10 : 1.

74 How many copies of book A were sold at a certain bookstore yesterday?

(1) The number of copies sold at the book today was two more than the number sold yesterday.

(2) A total of 13 copies were sold at the bookstore today, 9 fewer than twice the number that were sold yesterday.

75 Lily took an exam that had 100 questions numbered from 1 to 100. How many of the questions did she answer correctly?

(1) The number of odd-numbered questions she answered correctly was 9 more than the number of even-numbered questions she answered correctly.

(2) She answered t0 of the questions in the first half of the exam incorrectly and â of the questions in the second half of the exam incorrectly.

76 Jade's compensation consists of a salary plus a commission that is equal to a fixed percentage of her sales revenue. What percent of sales revenue is Jade's commission?

(1) Jade's total compensation last month was $2,400, 3 of which was her commission

(2) Jade's sales revenue last month was 10 times the amount of her monthly salary.

77 If set S consists of the numbers w, x, y, and z, is the range of the numbers in S greater than 3 ?

(1) w > x > y >z

(2) x - z > 3

78 If x is less than 90 percent of y, is x less than 100 ?

(1) y < 110

(2) x + 11 = y

79 An empty swimming pool with a capacity of 30,000 liters is to be filled by hoses X and Y simultaneously. If the amount of water flowing from each hose is independent of the amount flowing from the other hose, how long, in hours, will it take to fill the pool?

(1) Working alone, hose X would fill 4% of the pool per hour.

(2) Working alone, hose Y would fill 3% of the pool per hour.

80 In year X, a certain stock market index was at 97.2 percent of its January high on February 1st. If the index was at 97.5% of its January high on March 1st, what was the level of the index on February 1st?

(1) On February 1st of year X, the level of the index was $7.80 less than the level on March 1st.

(2) The level of the index on March 1st of year X was $2546.70.

81 If machine X ran continuously at a uniform rate to fill a production order, at what time did the machine finish filling the order?

(1) Machine X began filling the order at 7:30 a.m. and had filled !

! of the order by

9:30 a.m.

(2) Machine X spent 40 minutes filling the last !! of the order.

82 What was the ratio of the number of parcels to envelopes picked up by a certain mail truck on Tuesday?

(1) On Tuesday, the mail truck picked up 15 fewer than three times as many envelopes as parcels.

(2) On Tuesday, the mail truck picked up 5 more than one third as many parcels as envelopes.

83 If x, y, and z are numbers, is z = 12 ?

(1) The average (arithmetic mean) of x, y, and z is 12.

(2) z is the median of the set {x, y, z}.

84 A box contains 28 beads, of which 16 are red, 6 are green, and 6 are blue. If 8 of the beads are removed, how many were blue?

(1) Of the beads that remain in the box, 60% are red.

(2) Of the beads that remain in the box, 15% are blue.

85 The only contents of a shopping bag are 30 plastic forks and 36 plastic knives. What is the total weight, in ounces, of the bag's contents?

(1) The total weight of the 36 knives is 12 ounces.

(2) The weight of each of the forks is !

! ounce.

86 If x and y are positive integers, what is the value of x ?

(1) xy is the square of a positive integer.

(2) 280 percent of x equals 70 percent of y.

87 If David, Oscar, and Xavier have a total of $32, how much money does Oscar have?

(1) The ratio of the amount of money Oscar has to the total amount that David and Xavier have is 3: 5.

(2) The ratio of the amount of money Xavier has to the total amount that David and Oscar have is 1 : 7.

88 If the average (arithmetic mean) of 5 numbers is 60, how many of the numbers are less than 60?

(1) The median of the numbers is 60.

(2) Each of the numbers is distinct.

89 If x is a positive integer less than 10, is z less than the average (arithmetic mean) of x and 10 ?

(1) The positive difference between z and x is greater than the positive difference between z and 10.

(2) z = 5x

90 An electronics store that rents movies rents each of its VHS movies for a certain price and each of its DVD movies for a certain price. If Lonnie, Odelia, and Ron rented movies in this store, how much did Odelia pay to rent 2 VHS movies and 1 DVD movie?

(1) Ronald rented 4 VHS movies and 1 DVD movie and paid $4.50 more than Odelia.

(2) Lonnie rented 1 VHS movie and 1 DVD movie and paid $2.25 less than Odelia.

91 How many of the female students in a class of 30 children received a perfect score on their last test?

(1) Of the students in the class, 10% of the students received a perfect score on their last test.

(2) Of the students in the class, 12 are female.

92 If the average (arithmetic mean) of 4 numbers is 30, how many of the numbers are greater than 30 ?

(1) Two of the numbers are equal to 20.

(2) None of the numbers are equal to 30.

93 What number is 20 percent of x ?

(1) 14 is 7 percent of x.

(2) !! of x is 75.

94 Does Chris weigh more than Sam?

(1) Chris weighs 45 pounds more than Sam.

(2) Sam's weight is 70% of Chris's weight.

95 What is the average (arithmetic mean) of a, b, and c ?

(1) a = c

(2) b = 0

96 Is the number x between 0.2 and 0.7 ?

(1) 350x > 140

(2) 280x < 140

97 If the length of Yoel's telephone call was rounded up to the nearest whole minute by his telephone company, then Yoel was charged for how many minutes for his telephone call?

(1) If Yoel had ended the call 30 seconds sooner, he would have been charged 25 cents less.

(2) Yoel was charged 25 cents more for the first minute of the telephone call than for each minute after the first.

98 In a survey of homeowners, what percent had purchased a computer in the last two years?

(1) 80 percent of the homeowners surveyed who owned a computer had purchased a computer in the last two years.

(2) 65 percent of the homeowners surveyed owned a computer.

99 The rules of a certain board game specify that for each turn, a player will receive either 50 points or 5 points. If a player takes 12 turns, how many points did she receive?

(1) In at least seven turns, the player received 50 points.

(2) The player received a total of between 400 and 450 points.

100 Is v less than 0.72?

(1) v is less than !!.

(2) v is equal to !!"

.

 

01 C

02 D

03 D

04 D

05 D

06 C

07 C

08 B

09 C

10 A

11 D

12 C

13 C

14 B

15 A

16 B

17 D

18 B

19 C

20 E

21 A

22 C

23 C

24 C

25 C

26 A

27 E

28 C

29 D

30 D

31 C

32 D

33 C

34 C

35 A

36 D

37 C

38 B

39 D

40 B

41 C

42 C

43 A

44 B

45 A

46 C

47 C

48 E

49 B

50 C

51 D

52 E

53 A

54 B

55 D

56 C

57 A

58 E

59 C

60 C

61 D

62 B

63 E

64 E

65 A

66 C

67 C

68 C

69 C

70 C

71 E

72 C

73 D

74 B

75 B

76 C

77 B

78 D

79 C

80 D

81 A

82 E

83 E

84 B

85 C

86 E

87 A

88 C

89 A

90 D

91 E

92 E

93 D

94 D

95 E

96 C

97 E

98 C

99 B

100 B