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PS 200

A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
(A) 14
(B) 16
(C) 21
(D) 22
(E) 27

PS 199

The product of the first twelve positive integers is divisible by all of the following EXCEPT
(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

PS 198

If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 6, what is the greatest number of four-digit extensions that the company can have?
(A) 4
(B) 6
(C) 12
(D) 16
(E) 24

PS 197

A certain fraction is equivalent to 2/5 . If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3 . What is the sum of the numerator and denominator of the original fraction?
(A) 49
(B) 35
(C) 28
(D) 26
(E) 21

PS 196

. The formulas above are used to compute the distance a car travels after the brakes are applied. If the driver of a car applied the brakes just as a traffic light turned yellow and stopped exactly 6 seconds later, what is the value of v ？
(A) 20
(B) 80/3
(C) 30
(D) 40
(E) 60

PS 195

A certain used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times dealer's cost. Last week the dealer sold a total of 120 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
(A) 40
(B) 60
(C) 75
(D) 90
(E) 100

PS 194

For a group of n people, k of whom are of the same sex, the expression (n-k)/n yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?
(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

PS 193

then x =
(A) -3
(B) 3
(C) 4
(D) 5
(E) 9

PS 192

A square picture frame has an outer perimeter of 36 inches and is 1 inch wide on all sides. What is the inner perimeter of the frame, in inches?
(A) 27
(B) 27 and 1/2
(C) 28
(D) 31 and 1/2
(E) 32

PS 191

If the sum of two integers is 6, then it must be true that
(A) both integers are even
(B) both integers are odd
(C) both integers are positive
(D) if one integer is negative, the other is positive
(E) if one integer is positive, the other is negative

PS 190

The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?
(A) 10 and 20
(B) 12 and 18
(C) 24 and 32
(D) 21 and 63
(E) 22 and 88

PS 189

The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
(A) $41.60
(B) $45.00
(C) $50.75
(D) $55.75
(E) $61.25

PS 188

Which of the following equals the ratio of 10/3 to 4/3 ?
(A)1 : 3
(B)2 : 5
(C)5 : 2
(D)3 : 1
(E)40 : 9

PS 187

PS 186

PS 185

In the manufacture of a certain product, 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
(A) 0.125%
(B) 0.2%
(C) 0.8%
(D) 1.25%
(E) 2.0%

PS 184

If a hiker walks at a constant speed of 3/2 miles per hour, how many miles can the hiker walk in 4 hours and 12 minutes ?
(A)10.0
(B)10.3
(C)10.4
(D)10.5
(E)10.8

PS 183

On a certain test, 3 students each had a score of 90, 9 students each had a score of 80, 4 students each had a score of 70, and 4 students each had a score of 60. What was the average (arithmetic mean) score for the 20 students ?
(A) 70.5
(B) 75.0
(C) 75.5
(D) 80.0
(E) 80.5

PS 182

–2 (– 4 – (– 3 + 5)) =
(A) – 16
(B) – 10
(C) 6
(D) 12
(E) 16

PS 181

Tamara saves $35 each week. If she now has $100 saved, in how many weeks can she first have enough saved to buy a lawn mower that costs $250 ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

PS 180

PS 179

A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was $120 more than the cost of the shipment, how many calculators were in the shipment?
(A) 24
(B) 25
(C) 26
(D) 28
(E) 30

PS 178

PS 177

PS 176

Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324

PS 175

Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w – x – y
(B) z – w – x – y
(C) z – w – x + y
(D) w + x + y – z
(E) w – x – y – z

PS 174

If y + | y | = 0, which of the following must be true?
(A) y > 0
(B) y ≥ 0
(C) y < 0
(D) y ≤ 0
(E) y = 0

PS 173

A jar contains only x black balls and y white balls. One ball is drawn randomly from the jar and is not replaced. A second ball is then drawn randomly from the jar. What is the probability that the first ball drawn is black and the second ball drawn is white?

PS 172

The population of city X increased from 325,000 in 1980 to 350,000 in 1990, and it is projected that the population will increase by the same number from 1990 to 2000. Approximately what is the projected percent increase in population from 1990 to 2000 ?
(A) 7.1%
(B) 7.7%
(C) 8.3%
(D) 14.3%
(E) 15.3%

PS 171

then z =
(A) 2
(B) 1
(C) -1
(D) -2
(E) -3

PS 170

Out of their annual net income, a couple spent 25 percent for food, 13.5 percent for entertainment, 20 percent for housing, 8 percent for car expenses, 15 percent for clothing, and saved the rest. What was the ratio of the amount saved to the amount spent for entertainment?
(A) 19/27
(B) 6/5
(C) 37/27
(D) 19/9
(E) 7/3

PS 169

(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/10
(E) 1/18

PS 168

Which of the following is the prime factorization of 2,520?
(A) (2^2)*(3^2)*(5^2)
(B) (2^2)*(3)*(5^2)*(7)
(C) (2^3)*(3)*(5)*(7^2)
(D) (2^3)*(3^2)*(5)*(7)
(E) (2^3)*(3^2)*(5^2)*(7)

PS 167

(A) 1/10
(B) 1/8
(C) 1
(D) 8
(E) 10

PS 166

In the figure above, if the area of the rectangular region PQRS is 40, and if PT = TS, what is the area of the pentagonal region PQRST?
(A) 15
(B) 20
(C) 25
(D) 30
(E) It cannot be determined from the information given.

PS 165

In a certain company, the total monthly payroll for the 12 production workers is $18,000 and the total monthly payroll for the 36 office workers is $63,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a production worker in this company?
(A) $62.50
(B) $187.50
(C) $250.00
(D) $375.00
(E) $500.00

PS 164

On the number line, if x is halfway between -5 and 3, and if y is halfway between -2 and 6, what number is halfway between x and y ?
(A) -1
(B) -1/2
(C) 0
(D) 1/2
(E) 1

PS 163

If an integer n is divisible by both 6 and 8, then it must also be divisible by which of the following?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18

PS 162

One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
(A) 90
(B) 180
(C) 270
(D) 500
(E) 1,000

PS 161

In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
(A) $32
(B) $50
(C) $320
(D) $400
(E) $500

PS 160

Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
(A) 9/14
(B) 3/4
(C) 9/11
(D) 6/7
(E) 7/8

PS 159

Three types of pencils, J,K, and L, cost $0.05, $0.10, and $0.25 each, respectively. If a box of 32 of these pencils costs a total of $3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?
(A) 6
(B) 12
(C) 14
(D) 18
(E) 20

PS 159

Three types of pencils, J,K, and L, cost $0.05, $0.10, and $0.25 each, respectively. If a box of 32 of these pencils costs a total of $3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?
(A) 6
(B) 12
(C) 14
(D) 18
(E) 20

PS 158

In the figure above, three squares and a triangle have areas of A, B, C, and X as shown. If A = 144, B=81, and C=225, then X =
(A) 150
(B) 144
(C) 80
(D) 54
(E) 36

PS 157

When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?
(A) 23x + 17y =19
(B) 17x –23y = 9
(C) 17x +23y =19
(D) 14x + 5y = 6
(E) 5x – 14y = -6

PS 157

When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?
(A) 23x + 17y =19
(B) 17x –23y = 9
(C) 17x +23y =19
(D) 14x + 5y = 6
(E) 5x – 14y = -6

PS 156

Today Al is 3 times as old as Pat, In 13 years, Al will be one year less than twice as old as Pat will be then. How many years old is Al today?
(A) 12
(B) 33
(C) 36
(D) 42
(E) 49

PS 156

Today Al is 3 times as old as Pat, In 13 years, Al will be one year less than twice as old as Pat will be then. How many years old is Al today?
(A) 12
(B) 33
(C) 36
(D) 42
(E) 49

PS 155

If k is an even integer and p and r are odd integers, which of the following CANNOT be an integer?
(A) r/k
(B) k/p
(C) p/r
(D) kp/r
(E) kr/p

PS 155

If k is an even integer and p and r are odd integers, which of the following CANNOT be an integer?
(A) r/k
(B) k/p
(C) p/r
(D) kp/r
(E) kr/p

PS 154

A discount of 20 percent on an order of goods followed by a discount of 10 percent amounts to
(A) less than one 15 percent discount
(B) the same as one 15 percent discount
(C) the same as one 30 percent discount
(D) less than a discount of 10 percent followed by a discount of 20 percent
(E) the same as a discount of 10 percent followed by a discount of 20 percent

PS 154

A discount of 20 percent on an order of goods followed by a discount of 10 percent amounts to
(A) less than one 15 percent discount
(B) the same as one 15 percent discount
(C) the same as one 30 percent discount
(D) less than a discount of 10 percent followed by a discount of 20 percent
(E) the same as a discount of 10 percent followed by a discount of 20 percent

PS 153

If n/41 is 1 more than m/41 , then n =
(A) m – 41
(B) m + 1
(C) m + 41
(D) m + 42
(E) 41m

PS 152

On a certain airline, the price of a ticket is directly proportional to the number of miles to be traveled. If the ticket for a 900-mile trip on this airline costs $120, which of the following gives the number of dollars charged for a k-mile trip on this airline?
(A) 2k/15
(B) 2/15k
(C) 15/2k
(D) 15k/2
(E) 40k/3

PS 151

Which of the following is equal to 351/558 ?
(A) 7/11
(B) 39/62
(C) 19/31
(D) 117/196
(E) 107/186

PS 150

In 1980 John’s salary was $15,000 a year and Don’s salary was $20,000 a year. If every year thereafter. John receives a raise of $2,450 and Don receives a raise of $2,000, the first year in which John’s salary will be more than Don’s salary is
(A) 1987
(B) 1988
(C) 1991
(D) 1992
(E) 2000

PS 150

In 1980 John’s salary was $15,000 a year and Don’s salary was $20,000 a year. If every year thereafter. John receives a raise of $2,450 and Don receives a raise of $2,000, the first year in which John’s salary will be more than Don’s salary is
(A) 1987
(B) 1988
(C) 1991
(D) 1992
(E) 2000

PS 149

Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of $3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?
(A) $297
(B) $594
(C) $702
(D) $858
(E) $1,782

PS 149

Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of $3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?
(A) $297
(B) $594
(C) $702
(D) $858
(E) $1,782

PS 148

The number 25 is 2.5 percent of which of the following?
(A) 10
(B) 62.5
(C) 100
(D) 625
(E) 1,000

PS 148

The number 25 is 2.5 percent of which of the following?
(A) 10
(B) 62.5
(C) 100
(D) 625
(E) 1,000

PS 147

The figure above represents a rectangular desk blotter in a holder with dimensions shown. If x = 8 centimeters, what is the area, in square centimeters, of the shaded portion of the blotter?
(A) 4,200
(B) 4,184
(C) 4,124
(D) 4,072
(E) 3,944

PS 146

then m could equal
(A) –1
(B) 0
(C) 1
(D) 2
(E) 3

PS 145

Which of the following has a value greater than 1?
(A) 2/sqrt(3)
(B) sqrt(2)/2
(C) 9/16
(D) (7^3)/(8^3)
(E) 2 * (3/7)

PS 144

On the number line above, what is the length of segment AB?
(A) 13
(B) 1.4
(C) 1.3
(D) 0.13
(E) 0.013

PS 143

Of the 1,000 students who entered College X as freshmen in September 1979,112 did not graduate in May 1983. If 962 students graduated in May 1983, how many of the graduates did not enter College X as freshmen in September 1979?
(A) 38
(B) 74
(C) 112
(D) 150
(E) 188

PS 142

An employee is paid a salary of $300 per month and earns a 6 percent commission on all her sales. What must her annual sales be in order for her to have a gross annual salary of exactly $21,600?
(A) $22,896
(B) $26,712
(C) $300,000
(D) $330,000
(E) $360,000

PS 141

A certain club has 237 local branches, one national office, and one social service office. If each local branch has 2 officers, and each of the two other offices has 4 officers, how many officers does the club have altogether?
(A) 482
(B) 476
(C) 474
(D) 239
(E) 235

PS 140

A merchant purchased a jacket for $60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
(A) $0
(B) $3
(C) $4
(D) $12
(E) $15

PS 139

The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?
(A) 10,100
(B) 10,200
(C) 15,050
(D) 20,050
(E) 20,100

PS 138

The outline of a sign for an ice-cream store is made by placing of the circumference of a circle with radius 2 feet on top of an isosceles triangle with height 5 feet, as shown above. What is the perimeter, in feet, of the sign? π
(A) 3π + (3 * Sqrt(3))
(B) 3π + (6 * Sqrt(3))
(C) 3π + (2 * Sqrt(33))
(D) 4π + (3 * Sqrt(3))
(E) 4π + (6 * Sqrt(3))

PS 137

Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
(A) 2/3
(B) 7/3
(C) 5/2
(D) 8/3
(E) 3

PS 136

The triangles in the figure above are equilateral and the ratio of the length of a side of the larger triangle to the length of a side of the smaller triangle is 2/1 . If the area of the larger triangular region is K, what is the area of the shaded region in terms of K?
(A) (3K)/4
(B) (2k)/3
(C) (K)/2
(D) (K)/3
(E) (K)/4

PS 135

In 1980 the government spent $12 billion for direct cash payments to single parents with dependent children. If this was 2,000 percent of the amount spent in 1956, what was the amount spent in 1956? (1 billion = 1,000,000,000)
(A) $6 million
(B) $24 million
(C) $60 million
(D) $240 million
(E) $600 million

PS 134

A corporation with 5,000,000 shares of publicly listed stock reported total earnings of $7.20 per share for the first 9 months of operation. During the final quarter the number of publicly listed shares was increased to 10,000,000 shares, and fourth quarter earnings were reported as $1.25 per share. What are the average annual earnings per share based on the number of shares at the end of the year?
(A) $1.83
(B) $2.43
(C) $4.85
(D) $8.45
(E) $9.70

PS 133

Which of the following is equivalent to the statement that 0.5 is between (2/n) and (3/n) ？
(A) 1< n <6
(B) 2< n <3
(C) 2< n <5
(D) 4< n <6
(E) n> 10

PS 132

Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27

PS 130

On July 1, 1982, Ms. Fox deposited $10,000 in a new account at the annual interest rate of 12 percent compounded monthly. If no addi¬tional deposits or withdrawals were made and if interest was credited on the last day of each month, what was the amount of money in the account on September 1, 1982?
(A) $10,200
(B) $10,201
(C) $11,100
(D) $12,100
(E) $12,544

PS 129

After 5 games, a rugby team had an average of 28 points per game. In order to increase the average by n points, how many points must be scored in a 6th game?
(A) n
(B) 6n
(C) 28n
(D) 28 + n
(E) 28 + 6n

PS 128

. If x +y = 5 and xy=6, then (1/x) + (1/y) =
(A) 1/6
(B) 1/5
(C) 5/6
(D) 6/5
(E) 5

PS 127

If 3 is the greatest common divisor of positive integers r and s, what is the greatest common divisor of 2r and 2s?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 12

PS 126

Mr. Jones drove from Town A to Town B in x hours. On the return trip over the same route, his average speed was twice as fast. Which of the following expresses the total number of driving hours for the round trip?
(A) 2x/3
(B) 3x/2
(C) 5x/3
(D) 2x
(E) 3x

PS 125

If d= 3.0641 and x is the number obtained by rounding d to the nearest hundredth, then d-x =
(A) 0.0001
(B) 0.0041
(C) 0.0059
(D) 0.0141
(E) 0.0410

PS 124

(A) 1/10
(B) 1/5
(C) 5
(D) 10
(E) 100

PS 123

6[-2(6-9)+11-23]=
(A) –224
(B) –108
(C) –36
(D) 24
(E) 79

PS 122

Each month for 6 months the amount of money in a benefit fund is doubled. At the end of the 6 months there is a total of $640 in the fund. How much money was in the fund at the end of 3 months?
(A) $80
(B) $100
(C) $120
(D) $160
(E) $320

PS 121

At the rate of $7.50 per hour, how many hours must a person work to earn $232.50?
(A) 25
(B) 27
(C) 29
(D) 30
(E) 31

PS 120

If 10 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
(A) 10•9•8•7•6•5•4•3•2•1
(B) 10•10
(C) 10•9
(D) 45
(E) 36

PS 119

How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 25 percent alcohol?
(A) 7/2
(B) 5
(C) 20/3
(D) 8
(E) 39/4

PS 118

When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?
(A) n – 3
(B) n + 3
(C) 2n
(D) 3n
(E) 4n

PS 117

If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?
(A) 4% (B) 10% (C) 14%
(D) 15% (E) 18%

PS 116

In Company X, 30 percent of the employees live over ten miles from work and 60 percent of the employees who live over ten miles from work are in car pools. If 40 percent of the employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?
(A) 12%
(B) 20%
(C) 22%
(D) 28%
(E) 32%

PS 115

The sum of the interior angles of any polygon with n sides is 180(n – 2) degrees. If the sum of the interior angles of polygon P is three times the sum of the interior angles of quadrilateral Q, how many sides does P have?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 14

PS 114

If q, r and s are the numbers shown above, which of the following shows their order from greatest to least?
(A) q, r, s
(B) q, s, r
(C) r, q, s
(D) s, q, r
(E) s, r, q

PS 113

The volume of a box with a square base is 54 cubic centimeters. If the height of the box is twice the width of the base, what is the height, in centimeters?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9

PS 112

If y > 0, which of the following is equal to sqrt(48*(y^3))
(A) 4y * Sqrt(3y)
(B) 3y * Sqrt(4y)
(C) 2 * Sqrt(12y)
(D) 3 * Sqrt(8y)
(E) 16y * Sqrt(3y)

PS 111

A man who died left an estate valued at $111,000. His will stipulated that his estate was to be distributed so that each of his three children received from the estate and his previous gifts, combined, the same total amount. If he had previously given his oldest child $15,000, his middle child $10,000, and his youngest $2,000, how much did the youngest child receive from the estate?
(A) $50,000
(B) $48,000
(C) $46,000
(D) $44,000
(E) $39,000

PS 110

For a positive integer n, the number n! is defined to be n(n - 1)(n - 2)…(1). For example, 4!=4(3)(2)(1). What is the value of 5!-3!?
(A) 120
(B) 114
(C) 20
(D) 15
(E) 2

PS 109

Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?
(A) x/(12n)
(B) x/(24n)
(C) xn/24
(D) 12xn
(E) 24xn

PS 108

Bottle R contains 250 capsules and costs $6.25. Bottle T contains 130 capsules and costs $2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?
(A) $0.25
(B) $0.12
(C) $0.05
(D) $0.03
(E) $0.002

PS 107

If one root of the equation 2x2 + 3x – k = 0 is 6, what is the value of k?
(A) 90
(B) 42
(C) 18
(D) 10
(E) –10

PS 106

In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the total length of the heavy line segments?
(A) 15 (B) 18 (C) 21
(D) 22 (E) 23

PS 105

In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 19,947. Approximately what was the percent increase?
(A) 45%
(B) 125%
(C) 145%
(D) 150%
(E) 225%

PS 104

When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.5 centimeter. The actual diameter of the tissue, in centimeters, is
(A) 0.005
(B) 0.002
(C) 0.001
(D) 0.0005
(E) 0.0002

PS 103

(A) 6.3
(B) 9.8
(C) 179.2
(D) 224
(E) 280

PS 102

On a purchase of $120, a store offered a payment plan consisting of a $20 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
(A) 16.7%
(B) 30%
(C) 75.8%
(D) 106.7%
(E) 107.5%

PS 101

If x is an even integer, which of the following is an odd integer?
(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x2
(E) x3

PS 100

. In ΔPQS above, if PQ =3 and PS = 4, then
(A) 9/4
(B) 12/5
(C) 16/5
(D) 15/4
(E) 20/3

PS 99

One-fifth of the light switches produced by a cer¬tain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%

PS 98

The figure above represents a rectangular parking lot that is 30 meters by 40 meters and an attached semicircular driveway that has an outer radius of 20 meters and an inner radius of 10 meters. If the shaded region is not included, what is the area, in square meters, of the lot and driveway?
(A) 1,350π
(B) 1,200 + 400π
(C) 1,200 + 300π
(D) 1,200 + 200π
(E) 1,200 + 150π

PS 97

A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?
(A) 3
(B) 4
(C) 15
(D) 18
(E) 20

PS 96

(A) 0.1
(B) 0.2
(C) 100
(D) 200
(E) 1,000

PS 95

Of a group of people surveyed in a political poll, 60 percent said that they would vote for candidate R. Of those who said they would vote for R. 90 percent actually voted for R. and of those who did not say that they would vote for R. 5 percent actually voted for R. What percent of the group voted for R?
(A) 56%
(B) 59%
(C) 62%
(D) 65%
(E) 74%

PS 94

then s exceeds r by
A) 1/3
B) 1/6
C) 1/9
D) 1/27
E) 1/81

PS 93

If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?
(A) 24
(B) 28
(C) 30
(D) 32
(E) 36

PS 92

The table above shows present rates and proposed rates for electricity for residential customers. For which of the monthly kilowatt-hours shown would the proposed rate be the greatest percent increase over the present rate?
(A) 500
(B) 1,000
(C) 1,500
(D) 2,000
(E) Each of the percent increases is the same.

PS 91

Ken left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
(A) 40
(B) 200
(C) 266
(D) 267
(E) 600

PS 90

If each photocopy of a manuscript costs 4 cents per page, what is the cost, in cents, to reproduce x copies of an x-page manuscript?
(A) 4x
(B) 16x
(C) x2
(D) 4x2
(E) 16x2

PS 89

(A) –1
(B) -1/2
(C) 1/2
(D) 1
(E) 2

PS 88

At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

PS 87

(-1)2 - (-1)3=
(A) –2
(B) –1
(C) 0
(D) 1
(E) 2

PS 86

A hospital pharmacy charges $0.40 per fluidram of a certain medicine but allows a discount of 15 percent to Medicare patients. How much should the pharmacy charge a Medicare patient for 3 fluidounces of the medicine?(128 fluidrams = 16 fluidounces)
(A) $9.60
(B) $8.16
(C) $3.20
(D) $2.72
(E) $1.02

PS 85

A) x^2 - x
B) (x^2)/4
c) (X^2)/2
D) 3(x^2)/4
E) 3(x^2)/2

PS 84

A manager has $6,000 budgeted for raises for 4 full-time and 2 part-time employees. Each of the full-time employees receives the same raise, which is twice the raise that each of the part-time employees receives. What is the amount of the raise that each full-time employee receives?
(A) $750
(B) $1,000
(C) $1,200
(D) $1,500
(E) $3,000

PS 83

Of the following, which is closest above expression
(A) 7.5
(B) 15
(C) 75
(D) 150
(E) 750

PS 81

Kathy bought 4 times as many shares in Company X as Carl, and Carl bought 3 times as many shares in the same company as Tom. Which of the following is the ratio of the number of shares bought by Kathy to the number of shares bought by Tom?
(A) 3/4
(B) 4/3
(C) 3/1
(D) 4/1
(E) 12/1

PS 81

What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?
(A) 14.2
(B) 16.5
(C) 17
(D) 17.5
(E) 18

PS 80

If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
(A) 100
(B) 120
(C) 140
(D) 150
(E) 160

PS 79

What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120

PS 78

A ladder 25 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 7 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
(A) 4
(B) 5
(C) 8
(D) 9
(E) 15

PS 77

If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?
(A) 4
(B) 70/19
(C) 64/19
(D) 56/19
(E) 40/19

PS 76

In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half the toys are size A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?

(A) 15
(B) 25
(C) 30
(D) 35
(E) 40

PS 75

If r☉s = rs + r + s, then for what value of s is r ☉s equal to r for all values of r?
(A) –1
(B) 0
(C) 1
(D) 1/(r+1)
(E) r

PS 74

There are cogs around the circumference of a wheel and each cog is X centimeter wide with a space of X centimeter between consecutive cogs, as shown above. How many cogs of this size, with the same space between any two consecutive cogs, fit on a wheel with diameter 6 centimeters?
(A) 96
(B) 64
(C) 48
(D) 32
(E) 24

PS 73

Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?
(A) 75
(B) 42
(C) 32
(D) 25
(E) 12

PS 72

An instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers. If the student answered all of the questions and received a score of 38, how many questions did that student answer correctly?
(A) 19
(B) 38
(C) 41
(D) 44
(E) 46

PS 71

Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 60 percent of the total number of employees work in research, how many male employees do NOT work in research?
(A) 520
(B) 480
(C) 392
(D) 208
(E) 88

PS 70

If A is the center of the circle shown above and AB=BC=CD, what is the value of x?
(A) 15
(B) 30
(C) 45
(D) 60
(E) 75

PS 69

There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
(A) 101
(B) 103
(C) 106
(D) 107
(E) 109

PS 68

A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $10.00?
(A) 40
(B) 60
(C) 90
(D) 120
(E) 240

PS 67

If x≠0, 2x =5y, and 3z =7x, what is the ratio of z to y?
(A) 2 to 21
(B) 3 to 5
(C) 14 to 15
(D) 6 to 5
(E) 35 to 6

PS 66

is between
(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8

PS 65

In 1980, approximately what fraction of the cost to the consumer for the production of 6 ounces of frozen orange juice went to the farmer?
(A) 3/11
(B) 1/3
(C) 4/9
(D) 5/9
(E) 3/5

PS 64

Of the following, which is closest to the increase from 1975 to 1980 in the amount received by the processor in producing 6 ounces of frozen orange juice?
(A) $0.03
(B) $0.05
(C) $0.06
(D) $0.08
(E) $0.13

PS 63

Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for T to be in the position where S is now shown. The number of degrees through which RSTU is rotated is
(A) 135o
(B) 180o
(C) 225o
(D) 270o
(E) 315o

PS 62

The regular hourly wage for an employee of a certain factory is $5.60. If the employee worked 8 hours overtime and earned 3/2 times this regular hourly wage for overtime, how much overtime money was earned?
(A) $67.20
(B) $55.40
(C) $50.00
(D) $44.80
(E) $12.00

PS 61

Which of the following is equal to 85 percent of 160?
(A) 1.88
(B) 13.6
(C) 136
(D) 188
(E) 13,600

PS 60

If each side of ΔACD above has length 3 and if AB has length 1, what is the area of region BCDE?
(A) 9/4
(B) (7/4 ) * sqrt(3)
(C) (9/4) * sqrt(3)
(D) (7/2) * sqrt(3)
(E) 6 + sqrt(3)

PS 59

(A) 0.004
(B) 0.02775
(C) 2.775
(D) 3.6036
(E) 36.036

PS 58

Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
(A) 30%
(B) 100/3 %
(C) 75/2 %
(D) 40%
(E) 50%

PS 57

and x≠0 .
then, in terms of y, x=
(A) 2y
(B) y
(C) y/2
(D) (-4y^2)/(1-2y)
(E) –2y

PS 56

A family made a down payment of $75 and borrowed the balance on a set of encyclopedias that cost $400. The balance with interest was paid in 23 monthly payments of $16 each and a final payment of $9. The amount of interest paid was what percent of the amount borrowed?
(A) 6%
(B) 12%
(C) 14%
(D) 16%
(E) 20%

PS 55

Working alone, R can complete a certain kind of job in 9 hours. R and S, working together at their respective rates, can complete one of these jobs in 6 hours. In how many hours can S, working alone, complete one of these jobs?
(A) 18
(B) 12
(C) 9
(D) 6
(E) 3

PS 54

A rectangular floor is covered by a rug except for a strip p meters wide along each of the four edges. If the floor is m meters by n meters, what is the area of the rug, in square meters?
(A) mn – p (m + n)
(B) mn – 2p(m +n)
(C) mn – p2
(D) (m - p)(n - p)
(E) (m –2p)(n – 2p)

PS 53

If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence?
(A) 22
(B) 32
(C) 36
(D) 40
(E) 44

PS 52

A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius meter and height 4 meters, can be filled to capacity with the oil in this container?
(A) 1
(B) 2
(C) 4
(D) 8
(E) 16

PS 51

If 0.497 mark has the value of one dollar, what is the value to the nearest dollar of 350 marks?
(A) $174
(B) $176
(C) $524
(D) $696
(E) $704

PS 50

The price of a model M camera is $209 and the price of a special lens is $69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?
(A) 14%
(B) 16%
(C) 29%
(D) 33%
(E) 86%

PS 49

(A) –2
(B) 0
(C) 1
(D) 2
(E) 16

PS 48

After paying a 10 percent tax on all income over $3,000, a person had a net income of $12,000. What was the income before taxes?
(A) $13,300
(B) $13,000
(C) $12,900
(D) $10,000
(E) $9,000

PS 47

A certain elevator has a safe weight limit of 2,000 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 215 pounds?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

PS 45

In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
(A) 30
(B) 45
(C) 60
(D) 90
(E) 120

PS 45

If x is a number such that x^2 – 3x + 2 =0 and x^2 –x –2= 0, what is the value of x？
(A) –2
(B) –1
(C) 0
(D) 1
(E) 2

PS 44

If each of 4 subsidiaries of Corporation R has been granted a line of credit of $700,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
(A) $1,568,000
(B) $448,000
(C) $406,000
(D) $313,600
(E) $116,000

PS 43

If p = 0.2 and n = 100, then
(A) -Sqrt(0.002)
(B) Sqrt(0.02) - 0.02
(C) 0
(D) 0.04
(E) 0.4

PS 42

What is the area of the region enclosed by the figure above?
(A) 116
(B) 144
(C) 176
(D) 179
(E) 284

PS 41

6.09 – 4.693 =
(A) 1.397
(B) 1.403
(C) 1.407
(D) 1.497
(E) 2.603

PS 40

The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) y/r
(B) y/(r-x)
(C) xy/(r-x)
(D) xy/r(r-x)
(E) y/r(r-x)

PS 39

. If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?
(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

PS 38

x-y=3
2x= 2y + 6
The system of equations above has how many
solutions?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

PS 37

The figure above shows the dimensions of a rectangular box that is to be completely wrapped with paper. If a single sheet of paper is to be used without patching, then the dimensions of the paper could be
(A) 17 in by 25 in
(B) 21 in by 24 in
(C) 24 in by 12 in
(D) 24 in by 14 in
(E) 26 in by 14 in

PS 36

If x and y are integers and xy2 is a positive odd integer, which of the following must be true?
Ⅰ. xy is positive.
Ⅱ. xy is odd.
Ⅲ. x + y is even.
(A) Ⅰ only
(B) Ⅱ only
(C) Ⅲ only
(D) Ⅰ and Ⅱ
(E) Ⅱ and Ⅲ

PS 35

When the stock market opened yesterday, the price of a share of stock X was . When the market closed, the price was . Of the following, which is closest to the percent increase in the price of stock X?
(A) 0.5%
(B) 1.0%
(C) 6.7%
(D) 7.1%
(E) 7.5%

PS 34

Which of the following groups of numbers could be the lengths of the sides of a right triangle?
Ⅰ. 1, 4,
Ⅱ. 4, 7,
Ⅲ. 4, 9, 6
(A) Ⅰonly
(B) Ⅰand Ⅱ only
(C) Ⅰand Ⅲ only
(D) Ⅱand Ⅲ only
(E) Ⅰ,Ⅱ, and Ⅲ

PS 33

10^3 is how many times (0.01)3?
(A) 10^6
(B) 10^8
(C) 10^9
(D) 10^12
(E) 10^18

PS 32

A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?
(A) 10
(B) 40
(C) 45
(D) 50
(E) 55

PS 31

If 6 gallons of gasoline are added to a tank that is already filled to of its capacity, the tank is then filled to of its capacity. How many gallons does the tank hold?
(A) 20
(B) 24
(C) 36
(D) 40
(E) 60

PS 30

When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
(A) (n - 1) x
(B) n + x –1
(C) (n-1)/x
(D) x/(n-1)
(E) n/(x-1)

PS 29

A certain business printer can print 40 characters per second, which is 4 times as fast as an average printer. If an average printer can print 5 times as fast as an electric typewriter, how many characters per minute can an electric typewriter print?
(A) 2
(B) 32
(C) 50
(D) 120
(E) 600

PS 28

is equivalent to which of the follwoing for all values of x .

(A) 1/(2x+6)
(B) 1/(9x+2)
(C) 2/(x+6)
(D) 1/(x+4)
(E) 1/(x+2)

PS 27

What is the least integer greater than –2+0.5?
(A) –2
(B) –1
(C) 0
(D) 1
(E) 2

PS 26

Of a certain high school graduating class, 75 percent of the students continued their formal education, and 80 percent of those who continued their formal education went to four-year colleges. If 300 students in the class went to four-year colleges, how many students were in the graduating class?
(A) 500
(B) 375
(C) 240
(D) 225
(E) 180

PS 25

. If Jack walked 5 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
(A) 4
(B) 4.5
(C) 6
(D) 6.25
(E) 15

PS 24

. If 2x = 3y = 10, then 12xy =
(A) 1,200
(B) 200
(C) 120
(D) 40
(E) 20

PS 23

In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.0, 9.0, 6.0, and 8.5, what was the point value of the dive?
(A) 68.8
(B) 73.6
(C) 75.2
(D) 76.8
(E) 81.6

PS 22

What percent of 50 is 15?
(A) 30%
(B) 35%
(C) 70%
(D) 300%
(E) 1000/3 %

PS 21

The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
(A) $8,000
(B) $5,600
(C) $3,200
(D) $2,400
(E) $800

PS 20

If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?
Ⅰ. x = y
Ⅱ. y = 1
III x and y are prime integers.
(A) None
(B) Ⅰ only
(C) Ⅱonly
(D) III only
(E) Ⅰand III

PS 19

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18

PS 18

Last year Mrs. Long received $160 in dividends on her shares of Company X stock, all of which she had held for the entire year. If she had had 12 more shares of the stock last year, she would have received $15 more in total annual dividends. How many shares of the stock did she have last year?
(A) 128
(B) 140
(C) 172
(D) 175
(E) 200

PS 17

In the below Formula

integers p and t are positive constants. If w =2 when v = 1 and if when v = 64, then t =
(A) 1
(B) 2
(C) 3
(D) 4
(E) 16

PS 16

There were 36.000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441.000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45.000
(B) 360.000
(C) 364.500
(D) 392.000
(E) 396.900

PS 15

If n is an Integer and

then which of the following could be the value of k?
(A) 22
(B) 26
(C) 35
(D) 54
(E) 60

PS 14

Dan and Karen, who live 10 miles apart meet at a cafe that is directly north of Dan’s house and directly east of Karen’s house. If the cafe is 2 miles closer to Dan’s house than to Karen’s house, how many miles is the cafe from Karen’s house?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10