The 180 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT

Options :

4

20

30

40

90

Reset

Question 2 :

A parking garage rents parking spaces for $10 per week or $30 per month. How much does a person save in a year by renting by the month rather than by the week?

Options :

$140

$160

$220

$240

$260

Reset

Question 3 :

Options :

24

27

39

51

219

Reset

Question 4 :

Of the following, which is the best approximation to

Options :

0.05

0.06

0.16

0.5

0.6

Reset

Question 5 :

At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?

Options :

$0.30

$0.45

$0.60

$0.75

$0.90

Reset

Question 6 :

If ∠XYZ in the figure above is a right angle, what is the value of x?

Options :

155

145

135

125

110

Reset

Question 7 :

In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression?

Options :

Reset

Question 8 :

A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10:00 a.m., at what time was it one-eighth full?

Options :

9:00 a.m.

7:00 a.m.

6:00 a.m.

4:00 a.m

2:00 a.m.

Reset

Question 9 :

Al, Lew, and Karen pooled their funds to buy a gift for a friend. Al contributed $2 less than of the cost of the gift and Lew contributed $2 more than of the cost. If Karen contributed the remaining $15, what was the cost of the gift?

Options :

$24

$33

$36

$43

$45

Reset

Question 10 :

What is the total number of integers between 100 and 200 that are divisible by 3?

Options :

33

32

31

30

29

Reset

Question 11 :

Which of the following inequalities is equivalent to 10 - 2x > 18?

Options :

x > -14

x > -4

x > 4

x < 4

x < -4

Reset

Question 12 :

In 1979 approximately of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?

Options :

18.6

9.3

6.2

3.1

1.6

Reset

Question 13 :

A certain basketball team that has played of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least of all of its games?

Options :

7

6

5

4

3

Reset

Question 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?

Options :

6

7

8

9

10

Reset

Question 15 :

If 'n' is an integer and then which of the following could be the value of k?

Options :

22

26

35

54

60

Reset

Question 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?

Options :

45.000

360.000

364.500

392.000

396.900

Reset

Question 17 :

In the formula '' , integers p and t are positive constants. If w =2 when v = 1 and if when v = 64, then t =

Options :

1

2

3

4

16

Reset

Question 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?

Options :

128

140

172

175

200

Reset

Question 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?

Options :

$1.08

$1.10

$1.14

$1.16

$1.18

Reset

Question 20 :

If y ≠ 3 and 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

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?

Options :

$8,000

$5,600

$3,200

$2,400

$800

Reset

Question 22 :

What percent of 50 is 15?

Options :

Reset

Question 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?

Options :

68.8

73.6

75.2

76.8

81.6

Reset

Question 24 :

If 2x = 3y = 10, then 12xy =

Options :

1,200

200

120

40

20

Reset

Question 25 :

If Jack walked 5 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?

Options :

4

4.5

6

6.25

15

Reset

Question 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?

Options :

500

375

240

225

180

Reset

Question 27 :

What is the least integer greater than -2+0.5?

Options :

-2

-1

0

1

2

Reset

Question 28 :

Which of the following is equivalent to for all values of x for which both expressions are defined?

Options :

Reset

Question 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?

Options :

2

32

50

120

600

Reset

Question 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?

Options :

Reset

Question 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?

Options :

20

24

36

40

60

Reset

Question 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?

Options :

10

40

45

50

55

Reset

Question 33 :

10^{3} is how many times (0.01)^{3}?

Options :

10^{6}

10^{8}

10^{9}

10^{12}

10^{18}

Reset

Question 34 :

Which of the following groups of numbers could be the lengths of the sides of a right triangle?

Options :

I only

I and II only

I and III only

II and III only

I,II and III only

Reset

Question 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?

Options :

0.5%

1.0%

6.7%

7.1%

7.5%

Reset

Question 36 :

If x and y are integers and xy^{2} 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.

Options :

I only

II only

III only

I and II Ⅱ

II and IIIⅢ

Reset

Question 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

Options :

17 in by 25 in

21 in by 24 in

24 in by 12 in

24 in by 14 in

26 in by 14 in

Reset

Question 38 :

The system of equations above has how many
solutions?

Options :

None

Exactly one

Exactly two

Exactly three

Infinitely many

Reset

Question 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?

Options :

86

52

34

28

10

Reset

Question 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?

What is the area of the region enclosed by the figure above?

Options :

116

144

176

179

284

Reset

Question 43 :

If p = 0.2 and n = 100, then –

Options :

Reset

Question 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?

Options :

$1,568,000

$448,000

$406,000

$313,600

$116,000

Reset

Question 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？

Options :

-2

-1

0

1

2

Reset

Question 46 :

In traveling from a dormitory to a certain city, a student went of the way by foot of the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?

Options :

30

45

60

90

120

Reset

Question 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?

Options :

7

8

9

10

11

Reset

Question 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?

Options :

$13,300

$13,000

$12,900

$10,000

$9,000

Reset

Question 49 :

1-[2-(3-[4-5]+6)+7]=

Options :

-2

0

1

2

16

Reset

Question 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?

Options :

14%

16%

29%

33%

86%

Reset

Question 51 :

If 0.497 mark has the value of one dollar, what is the value to the nearest dollar of 350 marks?

Options :

$174

$176

$524

$696

$704

Reset

Question 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 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

Options :

1

2

4

8

16

Reset

Question 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?

Options :

22

32

36

40

44

Reset

Question 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?

Options :

mn - p (m + n)

mn - 2p(m +n)

mn - p2

(m - p)(n - p)

(m - 2p)(n - 2p)

Reset

Question 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?

Options :

18

12

9

6

3

Reset

Question 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?

Options :

6%

12%

14%

16%

20%

Reset

Question 57 :

If x≠0 and , then, in terms of y,x =

Options :

Reset

Question 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?

Options :

Reset

Question 59 :

Options :

36.036

2.775

3.6036

0.004

0.02775

Reset

Question 60 :

If each side of ΔACD above has length 3 and if AB has length 1, what is the area of region BCDE?

Which of the following is equal to 85 percent of 160?

Options :

1.88

13.6

136

188

13,600

Reset

Question 62 :

The regular hourly wage for an employee of a certain factory is $5.60. If the employee worked 8 hours overtime and earned 1 1/2 times this regular hourly wage for overtime, how much overtime money was earned?

Options :

$67.20

$55.40

$50.00

$44.80

$12.00

Reset

Question 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

Options :

135º

180º

225º

270º

315º

Reset

refer to following graph

Question 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?

Options :

$0.03

$0.05

$0.06

$0.08

$0.13

Reset

Question 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?

Options :

3/11

1/3

4/9

5/9

3/5

Reset

PROBLEM SOLVING

Question 66 :

is between

Options :

3 and 4

4 and 5

5 and 6

6 and 7

7 and 8

Reset

Question 67 :

If x≠0, 2x =5y, and 3z =7x, what is the ratio of z to y?

Options :

2 to 21

3 to 5

14 to 15

6 to 5

35 to 6

Reset

Question 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?

Options :

40

60

90

120

240

Reset

Question 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?

Options :

101

103

106

107

109

Reset

Question 70 :

If A is the center of the circle shown above and AB=BC=CD, what is the value of x?

Options :

15

30

45

60

75

Reset

Question 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?

Options :

520

480

392

208

88

Reset

Question 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?

Options :

19

38

41

44

46

Reset

Question 73 :

Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?

Options :

75

42

32

25

12

Reset

Question 74 :

There are cogs around the circumference of a wheel and each cog is π/16 centimeter wide with a space of π/16 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?

Options :

96

64

48

32

24

Reset

Question 75 :

If r☉s = rs + r + s, then for what value of s is r ☉s equal to r for all values of r?

Options :

-1

0

1

1/r+1

r

Reset

Question 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?

Options :

15

25

30

35

40

Reset

Question 77 :

If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

Options :

40/19

56/19

64/19

4

70/19

Reset

Question 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?

Options :

4

5

8

9

15

Reset

Question 79 :

What is the least possible product of 4 different integers, each of which has a value between -5 and 10, inclusive?

Options :

- 5040

- 3600

- 720

- 600

- 120

Reset

Question 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?

What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?

Options :

14.2

16.5

17

17.5

18

Reset

Question 82 :

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?

Options :

3/4

4/3

3/1

4/1

12/1

Reset

Question 83 :

Of the following, which if closest to ?

Options :

7.5

15

75

150

750

Reset

Question 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?

Options :

$750

$1,000

$1,200

$1,500

$3,000

Reset

Question 85 :

Options :

Reset

Question 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

Options :

$9.60

$8.16

$3.20

$2.72

$1.02

Reset

Question 87 :

(-1)² - (-1)³ =

Options :

-2

-1

0

1

2

Reset

Question 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?

Options :

7

8

9

10

11

Reset

Question 89 :

Options :

-1-1/2

-1/2

1/2

1

2

Reset

Question 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?

Options :

4x

16x

x²

4x²

16x²

Reset

Question 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?

Options :

40

200

266

267

600

Reset

Question 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?

Options :

500

1,000

1,500

2,000

Each of the percent increases is the same.

Reset

Question 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?

Options :

24

28

30

32

36

Reset

Question 94 :

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?

Options :

56%

59%

62%

65%

74%

Reset

Question 95 :

if and then s exceeds r by

Options :

Reset

Question 96 :

Options :

0.1

0.2

100

200

1,000

Reset

Question 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?

Options :

3

4

15

18

20

Reset

Question 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?

Options :

1,350π

1,200 + 400π

1,200 + 300π

1,200 + 200π

1,200 + 150π

Reset

Question 99 :

One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and examimage
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?

Options :

4%

5%

6.25%

11%

16%

Reset

Question 100 :

In ΔPQS above, if PQ =3 and PS = 4, then PR=

Options :

Reset

PROBLEM SOLVING

Question 101 :

If x is an even integer, which of the following is an odd integer?

Options :

3x + 2

7x

8x +5

x²

x³

Reset

Question 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?

Options :

16.7%

30%

75.8%

106.7%

107.5%

Reset

Question 103 :

Options :

6.3

9.8

179.2

224

280

Reset

Question 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

Options :

0.005

0.002

0.001

0.0005

0.0002

Reset

Question 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?

Options :

45%

125%

145%

150%

225%

Reset

Question 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?

Options :

15

18

21

22

23

Reset

Question 107 :

If one root of the equation 2x2 + 3x - k = 0 is 6, what is the value of k?

Options :

90

42

18

10

-10

Reset

Question 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?

Options :

$0.25

$0.12

$0.05

$0.03

$0.002

Reset

Question 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?

Options :

x/12n

x/24n

xn/24

12xn

24xn

Reset

Question 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!?

Options :

120

114

20

15

2

Reset

Question 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?

Options :

$50,000

$48,000

$46,000

$44,000

$39,000

Reset

Question 112 :

If y > 0, which of the following is equal to

Options :

Reset

Question 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?

Options :

2

3

4

6

9

Reset

Question 114 :

If q, r and s are the numbers shown above, which of the following shows their order from greatest to least?

Options :

q, r, s

q, s, r

r, q, s

s, q, r

s, r, q

Reset

Question 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?

Options :

6

8

10

12

14

Reset

Question 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?

Options :

12%

20%

22%

28%

32%

Reset

Question 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?

Options :

4%

10%

14%

15%

18%

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Question 118 :

When the integer n is divided by 6, the remainder is 3, Which of the following is NOT a multiple of 6?

Options :

n - 3

n + 3

2n

3n

4n

Reset

Question 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?

Options :

Reset

Question 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?

At the rate of $7.50 per hour, how many hours must a person work to earn $232.50?

Options :

25

27

29

30

31

Reset

Question 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?

Options :

$80

$100

$120

$160

$320

Reset

Question 123 :

6[-2(6-9)+11-23]=

Options :

-224

-108

-36

24

79

Reset

Question 124 :

Options :

1/10

1/5

5

10

100

Reset

Question 125 :

If d= 3.0641 and is the number obtained by rounding d to the nearest hundredth, then ?

Options :

0.0001

0.0041

0.0059

0.0141

0.0410

Reset

Question 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?

Options :

Reset

Question 127 :

If 3 is the greatest common divisor of positive integers r and s, what is the greatest common divisor of 2r and 2s?

Options :

2

3

4

6

12

Reset

Question 128 :

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?

Options :

n

6n

28n

28 + n

28 + 6n

Reset

Question 129 :

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 additional 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?

Options :

$10,200

$10,201

$11,100

$12,100

$12,544

Reset

Question 130 :

How many prime numbers are less than 25 and greater than 10?

Options :

Three

Four

Five

Six

Seven

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Question 131 :

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?

Options :

32

30

29

28

27

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Question 132 :

Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n

Options :

1

2

2

4

n>10

Reset

Question 133 :

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?

Options :

$1.83

$2.43

$4.85

$8.45

$9.70

Reset

Question 134 :

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)

Options :

$6 million

$24 million

$60 million

$240 million

$600 million

Reset

Question 135 :

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 . If the area of the larger triangular region is K, what is the area of the shaded region in terms of K?

Options :

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Question 136 :

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 pou-cup bottle?red into the 4

Options :

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Question 137 :

The outline of a sign for an ice-cream store is made by placing 3/4 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?

Options :

Reset

Question 138 :

The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?

Options :

10,100

10,200

15,050

20,050

20,100

Reset

Question 139 :

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 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?

Options :

482

476

474

239

235

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Question 141 :

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?

Options :

$22,896

$26,712

$300,000

$330,000

$360,000

Reset

Question 142 :

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?

Options :

38

74

112

150

188

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Question 143 :

On the number line above, what is the length of segment AB?

Options :

13

1.4

1.3

0.13

0.013

Reset

Question 144 :

Which of the following has a value greater than 1?

Options :

Reset

Question 145 :

if then m could equal

Options :

-1

0

1

2

3

Reset

Question 146 :

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?

Options :

4,200

4,184

4,124

4,072

3,944

Reset

Question 147 :

The number 25 is 2.5 percent of which of the following?

Options :

10

62.5

100

625

1,000

Reset

Question 148 :

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?

Options :

$297

$594

$702

$858

$1,782

Reset

Question 149 :

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

Options :

1987

1988

1991

1992

2000

Reset

Question 150 :

Which of the following is equal to

Options :

Reset

Question 151 :

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?

Options :

Reset

Question 152 :

If examimage is 1 more than examimage then n=

Options :

m-41

m+1

m+41

m+42

41m

Reset

Question 153 :

A discount of 20 percent on an order of goods followed by a discount of 10 percent amounts to

Options :

less than one 15 percent discount

the same as one 15 percent discount

the same as one 30 percent discount

less than a discount of 10 percent followed by a discount of 20 percent

the same as a discount of 10 percent followed by a discount of 20 percent

Reset

Question 154 :

If k is an even integer and p and r are odd integers, which of the following CANNOT be an integer?

Options :

Reset

Question 155 :

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?

Options :

12

33

36

42

49

Reset

Question 156 :

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?

Options :

23x + 17y =19

17x -23y = 9

17x +23y =19

14x + 5y = 6

5x - 14y = -6

Reset

Question 157 :

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 =

Options :

150

144

80

54

36

Reset

Question 158 :

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?

Options :

6

12

14

18

20

Reset

Question 159 :

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

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?

Options :

$32

$50

$320

$400

$500

Reset

Question 161 :

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?

Options :

90

180

270

500

1,000

Reset

Question 162 :

If an integer n is divisible by both 6 and 8, then it must also be divisible by which of the following?

Options :

10

12

14

16

18

Reset

Question 163 :

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 ?

Options :

-1

-1/2

0

1/2

1

Reset

Question 164 :

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?

Options :

$62.50

$187.50

$250.00

$375.00

$500.00

Reset

Question 165 :

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?

Options :

15

20

25

30

It cannot be determined from the information given.

Reset

Question 166 :

Options :

1/10

1/8

1

8

10

Reset

Question 167 :

Which of the following is the prime factorization of 2,520?

Options :

2² x 3² x 5²

2² x 3² x 5² x 7

2³ x 3 x 5 x 7²

2³ x 3² x 5 x 7

2³ x 3² x 5² x 7

Reset

Question 168 :

if

Options :

Reset

Question 169 :

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?

Options :

Reset

Question 170 :

if examimage then z=

Options :

23

23

23

23

23

Reset

Question 171 :

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 ?

Options :

7.1%

7.7%

8.3%

14.3%

15.3%

Reset

Question 172 :

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?

Options :

Reset

Question 173 :

If y + | y | = 0, which of the following must be true?

Options :

y > 0

y≥0

y < 0

y≤0

y = 0

Reset

Question 174 :

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 ?

Options :

z + w - x - y

z - w - x - y

z - w - x + y

w + x + y - z

w - x - y - z

Reset

Question 175 :

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?

Options :

81

159

166

285

324

Reset

Question 176 :

What is the greatest possible straight-line distance, in centimeters, between two vertices of the rectangular box shown above?

Options :

Reset

Question 177 :

A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?

Options :

2

2 1/2

3

3 1/2

4

Reset

Question 178 :

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?

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 ?

Options :

2

3

4

5

6

Reset

Question 181 :

-2 (- 4 - (- 3 + 5)) =

Options :

-16

-10

6

12

16

Reset

Question 182 :

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 ?

Options :

70.5

75.0

75.5

80.0

80.5

Reset

Question 183 :

If a hiker walks at a constant speed of 2 1/2 miles per hour, how many miles can the hiker walk in 4 hours and 12 minutes ?

Options :

10.0

10.3

10.4

10.5

10.8

Reset

Question 184 :

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?

Options :

0.125%

0.2%

0.8%

1.25%

2.0%

Reset

Question 185 :

x ( x + 1 ) ( x + 2 ) + x ( x + 3 ) =

Options :

x + 4x² + 5x

x³ + 3x² + 2x

x³ + 6x² + 3x

2x³ + 3x + 5x

2x² + 6x² +2

Reset

Question 186 :

What is the area of the shaded region in the figure above ?

Options :

Reset

Question 187 :

Which of the following equals the ratio of 3 1/3 to 1 1/3 ?

Options :

1 : 3

2 : 5

5 : 2

3 : 1

40 : 9

Reset

Question 188 :

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?

Options :

$41.60

$45.00

$50.75

$55.75

$61.25

Reset

Question 189 :

The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?

Options :

10 and 20

12 and 18

24 and 32

21 and 63

22 and 88

Reset

Question 190 :

If the sum of two integers is 6, then it must be true that

Options :

both integers are even

both integers are odd

both integers are positive

if one integer is negative, the other is positive

if one integer is positive, the other is negative

Reset

Question 191 :

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?

Options :

27

27 1/2

28

31 1/2

32

Reset

Question 192 :

if examimage then x=

Options :

-3

3

4

5

9

Reset

Question 193 :

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?

Options :

0.05

0.0625

0.2

0.25

0.6

Reset

Question 194 :

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?

The value of which of the following expressions is equal to 2 ?

Options :

I only

II only

III only

I and II only

I, II, and III

Reset

Question 196 :

If a survey shows that 28 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?

Options :

56%

64%

72%

82%

86%

Reset

Question 197 :

Joe went on a diet 6 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?

Options :

3

3.5

4

4.5

5

Reset

Question 198 :

Options :

2

4/3

1

3/4

1/2

Reset

Question 199 :

Options :

(3x + 4)(x - 2)

(3x - 4)(x + 2)

(3x + 2)(x - 4)

(3x - 2)(x + 4)

none of the above

Reset

Question 200 :

NOT SCORED

Options :

N/A

N/A

N/A

N/A

N/A

Reset

Question 201 :

If the sum of 7 consecutive integers is 434, then the greatest of the 7 integers is

Options :

71

69

67

65

62

Reset

Question 202 :

At a certain college, 50 percent of the total number of students are freshmen. If 20 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 30 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?

Options :

3%

6%

12%

15%

20%

Reset

Question 203 :

A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?

Options :

Reset

Question 204 :

In the figure above, CE = 5, BD = 8, and the area of quadrilateral ABCD is 36. What is the area of △ABD ?

Options :

4

9

16

20

56

Reset

Question 205 :

If the remainder is 7 when positive integer n is divided by 18, what is the remainder when n is divided by 6 ?

Options :

0

1

2

3

4

Reset

Question 206 :

There are how many hours between x minutes past 12 noon and 8:10 p.m. of the same day, where x < 60?

Options :

Reset

Question 207 :

If x = 4 and y = 16, then is closest to which of the following ?

Options :

1/3

1/2

3/4

7/8

1

Reset

Question 208 :

A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 8 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?

Options :

Reset

Question 209 :

If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 9 more than n. What is y in terms of x ?

Options :

10 - x

9 - x

x + 9

x - 1

x + 1

Reset

Question 210 :

Beth received 3/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes

Options :

Reset

Question 211 :

Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought ?

Options :

5

10

15

20

25

Reset

Question 212 :

if x is an even integer and y is an odd integer, which of the following CANNOT be true?

Options :

x is an even integer.

y is an odd integer.

x is a multiple of y

y is a multiple of x

xy is an even integer.

Reset

Question 213 :

In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?

Options :

10%

20%

30%

40%

50%

Reset

Question 214 :

The figure above shows the shape of a tunnel entrance. If the curved portion is 3/4 of a circle and the base of the entrance is 12 feet across, what is the perimeter, in feet, of the curved portion of the entrance'?

Of the 10 employees at a certain company, 5 had annual salaries of $20,000, 4 had annual salaries of $25,000, and 1 had an annual salary of $30,000. If a bonus equal to 10 percent of annual salary was given to each employee, what was the total amount of he bonuses?

Options :

$230,000

$75,000

$30,000

$23,000

$7,500

Reset

Question 216 :

In the figure above, if PQRS is a square and QT = TR, which of the following statements is NOT true?

Options :

PT = TS

x = y

u = v

r = y

The area of ΔPQT is equal to the area of ΔSRT.

Reset

Question 217 :

If ab ≠ 0, which of the following is equal to

Options :

a/b

1

a

b

b/a

Reset

Question 218 :

What is the greatest integer k such that

Options :

5

6

7

49

50

Reset

Question 219 :

A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates apply to
what fraction of a week?

Options :

Reset

Question 220 :

A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 140 pounds of the mixture ?

Options :

100

84

40

28

20

Reset

Question 221 :

Options :

0.0000166

0.0000274

0.00004

0.000166

0.0004

Reset

Question 222 :

The pages of a report are numbered consecutively from 1 to 10. If the sum of the page numbers up to and including page number x of the report is equal to one more than the sum of the page numbers following page number x, then x =

Options :

4

5

6

7

8

Reset

Question 223 :

In City R, streets run either east-west or north-south, as shown on the map above. Blocks along east-west streets are 400 feet long and blocks along north-south streets are 200 feet long. If the width of the streets is ignored, what is the straight-line distance, in feet, from X to Y ?

Options :

Reset

Question 224 :

if examimage then y=

Options :

1/x

x

x-2

1-1/x³

2-x

Reset

Question 225 :

A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing?

Options :

191

355

737

840

1,560

Reset

Question 226 :

The total price of n (n > 1) equally priced copies of a certain book is $50. In terms of n, which of the following gives the total price of n - 1 of these copies?

Options :

Reset

Question 227 :

Of the following sums, which is greatest ?

Options :

Reset

Question 228 :

One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?

Options :

$7.15

$8.87

$28.96

$35.57

$39.92

Reset

Question 229 :

A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,360 ?

Options :

$12

$14

$16

$17

$18

Reset

Question 230 :

if the value of which of the following products is greater than ?

Options :

None

I only

II only

III only

II and III

Reset

Question 231 :

If b and c are positive numbers and then b + c =

Options :

4

6

7

8

9

Reset

Question 232 :

In a certain performance of a 3-act play, the first act was 18 minutes shorter than the third act and half as long as the second act. If the average (arithmetic mean) length of the 3 acts was 46 minutes, how many minutes long was the third act?

Options :

30

39

46

48

66

Reset

Question 233 :

In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

Options :

48

64

50

144

160

Reset

Question 234 :

If n and p are different positive prime numbers, which of the integers , and np has (have) exactly 4 positive divisors

For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 84 color copies at Print Shop Y than at Print Shop X ?

Options :

$84.00

$105.00

$126.00

$231.00

$336.00

Reset

Question 236 :

The sum of 25 percent of 36 and 75 percent of 56 equals

Options :

23

37

41

51

69

Reset

Question 237 :

If x^{2} < x. then x must be

Options :

less than 0

equal to 0

between 0 and 1

equal to 1

greater than 1

Reset

Question 238 :

If 15 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is

Options :

$1.00

$1.25

$5.00

$6.00

$20.00

Reset

Question 239 :

If the cost of a yearly membership in a certain club increased from $199 to $299, what was the approximate percent increase in cost?

Options :

33 1/3%

50%

66 2/3%

100%

150%

Reset

Question 240 :

On the number line, the number p is twice as many units from -2 as -2 is from 6. If p is less than -2, what is the value of p ?

Options :

-18

-10

-6

10

14

Reset

Question 241 :

A telephone call costs $1.25 for the first minute and $0.32 for each additional minute. What is the cost, in dollars, of a telephone call that lasts for x minutes, where x is an integer?

Options :

0.32+ 1.25x

1.25+ 0.32x

0.32+ 1.25(x - 1)

1.25+ 0.32(x + 1)

1.25 + 0.32(x - 1)

Reset

Question 242 :

If x and y are integers, then CANNOT be equal to

Options :

-1

-1/2

000000

1/2

1

Reset

Question 243 :

The markup on a television set is 20 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)

Options :

8%

10%

12 1/2%

15%

16 2/3%

Reset

Question 244 :

If x and y are two-digit integers such that x > 40 and y<70, which of the following is closest to the maximum possible value of xy ?

Options :

700

2,800

4,000

7,000

28,000

Reset

Question 245 :

What is the diameter of a circular region that has area 10π ?

Options :

Reset

Question 246 :

If 3x + 2y = 7 and 2x - y = 7, what is the value of x ?

Options :

0

1

7/15

21/11

3

Reset

Question 247 :

Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 45.7 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?

Options :

0.08

1.0

1.1

10.5

41.8

Reset

Question 248 :

Raymond took several days to mow a certain lawn. He mowed 1/3 of the lawn the first day,1/2 of the remaining unmowed portion the second day, and 3/4 of the remaining unmowed portion the third day. What fraction of the lawn remained unmowed at the end of the third day?

Options :

Reset

Question 249 :

Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast?
(Each vote cast was either in favor of the proposal or against it.)

Options :

480

400

300

240

160

Reset

Question 250 :

If xy ≠ 0 and . Which of the following is equal to c ?

Options :

Reset

Question 251 :

Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?

Options :

5

8

10

15

24

Reset

Question 252 :

The figure above shows the dimensions of a rectangular board that is to be cut into four identical pieces by making cuts at points A, B, and C, as indicated. If x = 45, what is the length AB ?
(1 foot = 12 inches)

Options :

Reset

Question 253 :

If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z – x ?

Options :

6

7

8

9

10

Reset

Question 254 :

On the day of the performance of a certain play, each ticket that regularly sells for less than $10.00 is sold for half price plus $0.50, and each ticket that regularly sells for $10.00 or more is sold for half price plus $1.00. On the day of the performance, a person purchases a total of y tickets, of which x regularly sell for $9.00 each and the rest regularly sell for $12.00 each. What is the amount paid, in dollars, for the y tickets ?

A car with a 12-gallon gas tank used examimage of a full tank of gas to make a 150-mile trip. How many miles per gallon did the car average on the trip?

Options :

30

25

12 1/2%

8 1/3

6

Reset

Question 256 :

If 5n + 4 =11, what is the value of l0n - 2 ?

Options :

68

14

12

7

-1

Reset

Question 257 :

At the beginning of each year, the price of item X is 10 percent higher than its price at the beginning of the previous year. During three consecutive years, if the price of item X is $8 at the beginning of the first year, what is its price at the beginning of the third year?

Options :

$8.80

$9.60

$9.68

$10.00

$16.00

Reset

Question 258 :

Options :

1/9

1/4

1

3/2

6

Reset

Question 259 :

An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?

Options :

75%

58%

42%

34%

25%

Reset

Question 260 :

In the figure above, what is the value of x ?

Options :

50

70

80

90

100

Reset

Question 261 :

Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ?

Options :

3/11

7/9

1/8

4/7

1/6

Reset

Question 262 :

If P dollars is invested at an annual interest rate of 5 percent, which of the following gives the amount of simple interest, in dollars, earned after n months ?

Options :

0.05P + n

0.05P + n/12

0.05P × n

0.05P × 1/12n

0.05P ×n/12

Reset

Question 263 :

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

Options :

0

1/200

1/2

199/200

1

Reset

Question 264 :

Virginia, Adrienne, and Dennis have taught history for a combined total of 96 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?

Options :

23

32

35

41

44

Reset

Question 265 :

Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

Options :

10

8

6

4

2

Reset

Question 266 :

If x = 2u, then the average (arithmetic mean) of x and u, in terms of u, is

Options :

u/3

u/2

2u/3

3u/4

3u/2

Reset

Question 267 :

If the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers CANNOT be in the set ?

Options :

2

3

5

7

11

Reset

Question 268 :

A book dealer buys used books for prices ranging from $0.75 to $1.50 and then sells them for prices ranging from $3.00 to $5.50. If the dealer were to sell 20 of these books, the minimum gross profit from this sale would be

Options :

$15

$30

$45

$50

$80

Reset

Question 269 :

If x (a + b) = y, where y ≠ 0 and 2a = 3b = 1, then y/x =

Options :

1/6

1/3

2/3

5/6

6/5

Reset

Question 270 :

A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 50 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)

Options :

$15,360

$17,360

$18,000

$21,360

$27,360

Reset

Question 271 :

Options :

Reset

Question 272 :

If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?

Options :

4 1/60

5

5 5/11

5 1/2

11

Reset

Question 273 :

If m/7 is an integer, then each of the following must be an integer EXCEPT

A car with a 12-gallon gas tank used1/2 of a full tank of gas to make a 150-mile trip. How many miles per gallon did the car average on the trip?

Options :

30

25

12 1/2

8 1/3

6

Reset

Question 276 :

If 5n + 4 =11, what is the value of l0n - 2 ?

Options :

68

14

12

7

-1

Reset

Question 277 :

At the beginning of each year, the price of item X is 10 percent higher than its price at the beginning of the previous year. During three consecutive years, if the price of item X is $8 at the beginning of the first year, what is its price at the beginning of the third year?

Options :

$8.80

$9.60

$9.68

$10.00

$16.00

Reset

Question 278 :

Options :

1/9

1/4

1

3/2

6

Reset

Question 279 :

An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?

Options :

75%

58%

42%

34%

25%

Reset

Question 280 :

In the figure above, what is the value of x ?

Options :

50

70

80

90

100

Reset

Question 281 :

Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ?

Options :

3/11

7/9

1/8

4/7

1/6

Reset

Question 282 :

If P dollars is invested at an annual interest rate of 5 percent, which of the following gives the amount of simple interest, in dollars, earned after n months ?

Options :

0.05P + n

0.05P + n/12

0.05P × n

0.05P × 1/12n

0.05P × n/12

Reset

Question 283 :

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

Options :

0

1/200

1/2

199/200

1

Reset

Question 284 :

Virginia, Adrienne, and Dennis have taught history for a combined total of 96 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?

Options :

23

32

35

41

44

Reset

Question 285 :

Approximately 90 percent of the volume of a certain cube that is floating in a tank of water is beneath the surface. If 6.4 cubic centimeters of the cube is above the surface of the water, what is the approximate length, in centimeters, of an edge of the cube?

Options :

10

8

6

4

2

Reset

Question 286 :

If x = 2u, then the average (arithmetic mean) of x and u, in terms of u, is

Options :

Reset

Question 287 :

If the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers CANNOT be in the set ?

Options :

2

3

5

7

11

Reset

Question 288 :

A book dealer buys used books for prices ranging from $0.75 to $1.50 and then sells them for prices ranging from $3.00 to $5.50. If the dealer were to sell 20 of these books, the minimum gross profit from this sale would be

Options :

$15

$30

$45

$50

$80

Reset

Question 289 :

If x (a + b) = y, where y ≠ 0 and 2a = 3b = 1, then y/x =

Options :

1/6

1/3

2/3

5/6

6/5

Reset

Question 290 :

A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 50 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)

Options :

$15,360

$17,360

$18,000

$21,360

$27,360

Reset

Question 291 :

Options :

Reset

Question 292 :

If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?

Options :

Reset

Question 293 :

If is an integer, then each of the following must be an integer EXCEPT

A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into 12 equal monthly allocations. At the end of the 4th month of that fiscal year, the total amount actually spent on the project was $4,580. By how much was the project over its budget ?

Options :

$380

$540

$1,050

$1,380

$1,430

Reset

Question 296 :

For which of the following values of n is examimage NOT a examimage n integer ?

Options :

1

2

3

4

5

Reset

Question 297 :

Rectangular floors X and Y have equal area. If floor X is 12 feet by 18 feet and floor Y is 9 feet wide, what is the length of floor Y, in feet ?

Options :

13 1/2

18

18 3/4

21

24

Reset

Question 298 :

A case contains c cartons. Each carton contains b boxes and each box contains 100 paper clips. How many paper clips are contained in 2 cases ?

Options :

100bc

100b/c

200bc

200b/c

200/bc

Reset

Question 299 :

In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?

Options :

50%

53%

54%

55%

57%

Reset

Question 300 :

IF and y ≠ 0, then x =

Options :

2/3

5/3

7/3

1

4

Reset

Question 301 :

If x + 5 > 2 and, x – 3 < 7, the value of x must be between which of he following pairs of numbers ?

Options :

-3 and 10

-3 and 4

2 and 7

3 and 4

3 and 10

Reset

Question 302 :

A certain company retirement plan has a “rule of 70” provision that allows an employee to retire when the employee’s age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision ?

Options :

2003

2004

2005

2006

2007

Reset

Question 303 :

Options :

29/16

19/16

15/16

9/13

0

Reset

Question 304 :

The sum of the prime numbers that are greater than 60 and less than 70 is

Options :

67

128

191

197

260

Reset

Question 305 :

Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. Approximately how many grams of oxygen are there in 144 grams of water ?

Options :

16

72

112

128

142

Reset

Question 306 :

If x (2x + 1) = 0 and then x =

Options :

-3

-1/2

0

1/2

3/2

Reset

Question 307 :

A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm

Options :

9

14

25

30

44

Reset

Question 308 :

If s1, s2, s3, ...... is the sequence such that for all positive integers n, then the product of the first 10 terms of this sequence is

Options :

Reset

Question 309 :

On a scale that measures the intensity of a certain phenomenon, a reading of n + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3 ?

Options :

Reset

Question 310 :

John and Mary were each paid x dollars in advance to do a certain job together, John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance ?

According to the graph above, what percent of the funds for highway maintenance came from the tax on tires?

Options :

3%

6%

8%

10%

16%

Reset

Question 312 :

According to the graph above, when x = 3, y most nearly ?

Options :

-1

-1/2

0

1/2

1

Reset

Question 313 :

A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the least possible number of students in the class?

Options :

20

24

36

48

96

Reset

Question 314 :

At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass ?

Options :

19

17

16

14

13

Reset

Question 315 :

When 1/10 percent of 5,000 is subtracted from 1/10 of 5,000 the difference is

Options :

0

50

450

495

500

Reset

Question 316 :

A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

Options :

$21,500

$20,000

$17,500

$7,500

$7,000

Reset

Question 317 :

Options :

4/7

4/3

11/8

11/7

7/4

Reset

Question 318 :

IF and if T = 290, then K =

Options :

1,738/9

322

490

554

2,898/5

Reset

Question 319 :

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool ?

Options :

0.22

0.31

2.50

3.21

4.56

Reset

Question 320 :

Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax. How much money could she have saved if she had bought the stereo at the same retail price in a neighboring state where she would have paid a sales tax of 5 percent?

Options :

$1.00

$2.65

$4.30

$5.00

$5.30

Reset

Question 321 :

If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches?

Options :

40

60

80

100

120

Reset

Question 322 :

Which of the following is the value of ?

Options :

0.004

0.008

0.02

0.04

0.2

Reset

Question 323 :

The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?

Options :

5

8

10

12

15

Reset

Question 324 :

What is the smallest integer n for which ?

Options :

6

7

8

9

10

Reset

Question 325 :

Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2?

Options :

2/5

2/7

33/83

99/250

100/249

Reset

Question 326 :

If x and y are different prime numbers, each greater
than 2, which of the following must be true ?
I. x + y ≠91
II. x - y is an even integer.
III. x/y is not an integer.

As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with no commission or an annual salary of $10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method ?

Options :

$100,000

$120,000

$125,000

$130,000

$132,000

Reset

Question 328 :

A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. If the restaurant uses 1/2 cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare 60 servings of the compote ?

Options :

7

8

9

10

12

Reset

Question 329 :

If x > 3,000, then the value of is closest to

Options :

1/6

1/3

10/21

1/2

3/2

Reset

Question 330 :

Machine A produces 100 parts twice as fast as machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does machine A produce in 6 minutes ?

Options :

30

25

20

15

7.5

Reset

Question 331 :

If 18 is 15 percent of 30 percent of a certain number, what is the number ?

Options :

9

36

40

81

400

Reset

Question 332 :

A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal.

Options :

16

32

41

54

68

Reset

Question 333 :

if , and which of the following is true ?

Options :

y < x and x = z

z < x < y

y < z < x

x = y = z

x < y and x = z

Reset

Question 334 :

In △ABC above, what is x in terms of z ?

Options :

z + 73

z - 73

70 - z

z - 70

73 - z

Reset

Question 335 :

In 1990 a total of x earthquakes occurred worldwide, some but not all of which occurred in Asia. If m of these earthquakes occurred in Asia, which of the following represents the ratio of the umber of earth quakes that occurred in Asia to the number that did not occur in Asia ?

Options :

Reset

Question 336 :

if then y =

Options :

Reset

Question 337 :

If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes ?

Options :

15/16

7/8

1/4

1/8

1/16

Reset

Question 338 :

Last year Department Store X had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year ?

Options :

1/4

4/15

1/3

4/11

4/5

Reset

Question 339 :

How many integers n are there such that 1 < 5n + 5 < 25 ?

Options :

five

four

three

two

one

Reset

Question 340 :

If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N ?

Options :

181

163

121

99

44

Reset

Question 341 :

Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 15, and 18 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates ?

Options :

4/11

1/2

15/22

22/15

11/4

Reset

Question 342 :

In 1985 a company sold a brand of shoes to retailers for a fixed price per pair. In 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent, while the price per pair increased by 20 percent. If the company’s revenue from the sale of the shoes in 1986 was $3.0 million, what was the approximate revenue from the sale of the shoes in 1985 ?

A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?

Options :

x > 10y

x > y + 10

x > y - 10

x = y + 10

x = y - 10

Reset

Question 345 :

What is the maximum number of 1 1/4 -foot pieces of wire that can be cut from a wire that is 24 feet long?

Options :

11

18

19

20

30

Reset

Question 346 :

If each of the two lines λ_{1}and λ _{2} is parallel to line λ _{3} , which of the following must be true?

Options :

Lines λ_{1} , λ_{2} , and λ_{3} lie in the same plane.

Lines λ_{1},λ_{2} , and _{3} lie in different planes

Line λ_{1} is parallel to lineλ_{3} .

Line λ_{1} is the same line as lineλ_{2} .

Lineλ_{1} is the same line as lineλ_{3} .

Reset

Question 347 :

The expression above is approximately equal to

Options :

1

3

4

5

6

Reset

Question 348 :

Car X and car Y traveled the same 80-mile route. If car X took 2 hours and car Y traveled at an average speed that was 50 percent faster than the averages speed of car X, how many hours did it take car Y to travel the route ?

Options :

2/3

1

1 1/3

1 3/5

3

Reset

Question 349 :

If the numbers 17/24,1/2 ,3/8 ,3/4 , and 9/16 were ordered from greatest to least, the middle number of the resulting sequence would be

Options :

17/24

1/2

3/8

3/4

9/16

Reset

Question 350 :

If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to he paid?

Options :

$880

$900

$1,000

$1,100

$1,210

Reset

Question 351 :

Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount of Kim’s purchase, including postage and handling, in terms of n ?

Options :

8n + 2

8n + 4

9n + 2

9n + 3

9n + 4

Reset

Question 352 :

Options :

98

49

28

21

14

Reset

Question 353 :

If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K - 5, and 5K + 1 is 63, what is the value of K ?

Options :

11

15 3/4

22

23

25 3/10

Reset

Question 354 :

A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If the rabbit’s diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

Options :

100

140

150

160

200

Reset

Question 355 :

A company that ships boxes to a total of (12) distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding ? (Assume that the order of the colors in a pair does not matter.)

Options :

4

5

6

12

24

Reset

Question 356 :

If x + y = a and x - y = b, then 2xy =

Options :

Reset

Question 357 :

A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square inches. Which of the following equations must be true?

Options :

w² + Pw +k = 0

w² - Pw + 2k = 0

2w² + Pw + 2k = 0

2w² - Pw - 2k = 0

2w² - Pw + 2k = 0

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Question 358 :

On a certain road, 10 percent of the motorists exceed the posted speed limit and receive speeding tickets, but 20 percent of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit ?

A certain car uses 12 gallons of gasoline in traveling 240 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?

Options :

2

4

6

8

10

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Question 361 :

The figure above represents a window, with the shaded regions representing the openings for the glass. If all line segments in the figure are either horizontal or vertical and the openings are all the same size, what are the dimensions, in inches, of each opening (1 foot = 12 inches)?

Options :

12.0 by 18.0

10.5 by 16.5

9.0 by 15.0

8.0 by 10.0

7.5 by 13.5

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Question 362 :

A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many acres were used for corn?

Options :

188

258

376

470

517

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Question 363 :

if 2x² + 4² - 5 = x² + 2x + x² + 5 then x²=

Options :

0

4

10

25

100

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Question 364 :

Options :

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Question 365 :

A circle graph shows how the budget of a certain company was spent: 63 percent for salaries, 12 percent for research and development, 6 percent for utilities, 5 percent for equipment, 4 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent
transportation?