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GED-Mathematical-Reasoning Questions and Answers

Question # 6

Biologists tagged trout and released them into a new man-made lake. The numbers of trout by gender and species are shown in the table below.

Later, biologists will net and inspect 50 of the tagged fish and re-release them into the lake.

If the netting captures fish randomly and all of the fish remain in the lake, approximately how many of the 50 fish are likely to be speckled trout?

A.

7

B.

8

C.

10

D.

15

E.

25

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Question # 7

The table at the left shows the distribution of 32 students in a night-school class by gender and by marital status.

If half of the females in the class are married, how many of the males in the class are NOT married?

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Question # 8

 

The ratio of VCR tapes to DVD disks available for rent at a local video store is 5.6 to 1. If there are 2436 VCR tapes, how many DVD disks are available?

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Question # 9

If the letter y represents a negative number, which of the following represents a positive number?

A.

y + y

B.

y 3

C.

(1/3)y

D.

1.5(y)

E.

-7(y)

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Question # 10

Eli has a net (after-tax) monthly income of $2000. Each month, he takes his check to the bank, deposits most into his three accounts, and receives some cash for miscellaneous expenses. The money is distributed as shown in the table below.

Approximately what percent of Eli’s GROSS (before-tax) monthly income is deposited into his two savings accounts?

A.

  2.5%

B.

  5.0%

C.

  7.5%

D.

10.0%

E.

Not enough information is given.

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Question # 11

The slopes of the lines give the average growth rates of the plants, in centimeters per week, using the two fertilizers.

What is the average growth rate, in centimeters per week, using fertilizer A?

A.

85

B.

45

C.

15

D.

10

E.

5

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Question # 12

To raise funds for a charity drive, Danielle convinced 40 businesses to each pledge to donate $10 per month for 6 months.

Which expression equals the total number of dollars pledged for the charity drive?

A.

40(10)(6)

B.

40(6)(6)

C.

40(10)(60)

D.

40(6)(60)

E.

Not enough information is given.

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Question # 13

To convert Celsius temperature to Fahrenheit temperature, the following procedure is used:

Multiply Celsius degrees by 9, divide by 5, then add 32.

If a temperature reading is 40° Celsius, what is the equivalent temperature in degrees Fahrenheit?

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Question # 14

A college recruiter interviewed 18 potential students about their interests. Ten students said they participated in sports and 12 in music programs. All said they participated in at least one of these programs, and some participated in both. How many students said they participated in both sports and music programs?

A.

14

B.

8

C.

6

D.

4

E.

2

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Question # 15

A shipment of 84 cell phones was sent in two types of boxes. Some boxes contained 6 phones and others contained 8 phones. An equal number of each type of box was used.

How many of each type of box was used?

A.

6

B.

12

C.

36

D.

42

E.

48

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Question # 16

What is true about the perimeters (shown by the solid lines) and the areas of the two arrangements?

A.

The perimeters are the same, but the areas are different.

B.

The perimeters are different, but the areas are the same.

C.

The perimeters and areas are both the same.

D.

The perimeters and areas are both different.

E.

Not enough information is given.

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Question # 17

What is the length of the roof, in feet, from the floor to the top of the open front of the shelter?

A.

6

B.

8

C.

10

D.

12

E.

14

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Question # 18

Fran works 6 hours each day and Karen works 8 hours each day. Fran makes $2 more per hour than Karen. How many days must Karen work to earn $240?

A.

15

B.

24

C.

30

D.

40

E.

Not enough information is given.

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Question # 19

A local electric company charges $0.07893740 for each kilowatt-hour of electricity used. To the nearest cent,what is the kilowatt-hour charge for electricity?

A.

$0.07

B.

$0.0789

C.

$0.079

D.

$0.08

E.

$0.79

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Question # 20

The United States and Indonesia have the same percent of inland water area, but their total areas are different.

Approximately how many times as great as the total area of Indonesia is the total area of the United States?

A.

4

B.

6

C.

8

D.

10

E.

12

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Question # 21

Shortly after the tank was filled to capacity, a leak was discovered. By the time the hole was repaired, the level of the liquid had dropped 2 meters. What portion of the original liquid REMAINED after the leak was repaired?

A.

1/10

B.

1/5

C.

2/5

D.

1/2

E.

4/5

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Question # 22

How many 4-ounce hamburger patties can be made from25.5pounds of hamburger? (1 pound = 16 ounces)

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Question # 23

Bacteria infected 3/5 of the 300 trees in a forest. How many of the trees were infected with the bacteria?

A.

60

B.

100

C.

120

D.

180

E.

270

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Question # 24

If a, b, and c are three different numbers, and a minus b equals c, which of the following statements must be true?

A.

b = ac

B.

a = bc

C.

b = a - c

D.

a = b - c

E.

a = c - b

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Question # 25

In 0.35 hours, 4,200 gallons of water flow over a small dam. At this rate, how many gallons of water will flow over the dam in one hour?

A.

12,000

B.

8,400

C.

7,000

D.

2,730

E.

1,470

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Question # 26

Each bag of topsoil that Kyle wants to purchase will cover an area of 2.25 square feet. What is the minimum number of bags he should purchase to cover the garden area?

A.

8

B.

9

C.

10

D.

16

E.

20

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Question # 27

Santos runs a restaurant in his neighborhood. Of his employees,4/5are willing to work nights. Of those willing to work nights,½are willing to work on weekends.

If Santos has 40 employees, how many are willing to work on weekend nights?

A.

  5

B.

16

C.

20

D.

24

E.

32

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Question # 28

A sandwich shop offers customers a book of coupons that will allow them to purchase 8 sandwiches for $2 each after purchasing 10 sandwiches at the regular price of $6 each.

What is the total amount, in dollars, that a customer would pay for purchasing all 18 sandwiches with this offer?

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Question # 29

If n represents a negative number, which of the following expressions represents a positive number?

A.

n5

B.

n/-5

C.

n + n + n + n + n

D.

(0.5) × n

E.

5n

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Question # 30

At Gray’s Garden Shop, flowering plants are sold in trays of 12 for $19 or separately for $2 each. George bought one tray of 12 plants and 6 individual plants.

Which of the following expressions equals the average price, in dollars, of the plants George bought?

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Question # 31

Cassandra, the sales manager at a jewelry store, receives a commission of 30% of her sales. In addition, she receives a commission of 4.5% of the total sales of other salespeople under her supervision.

If Cassandra sells jewelry worth $2250 and her sales staff sells jewelry worth a total of $6800, what is her total commission in dollars?

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Question # 32

Harry plans to buy a holiday basket at Diane’s Gift Shop. Each basket contains a beverage, cheese, and crackers. Harry must choose one of 4 types of beverages, one of 5 kinds of cheeses, and one of 3 types of crackers.

From how many holiday baskets with different contents can Harry choose?

A.

12

B.

17

C.

23

D.

35

E.

60

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Question # 33

Tara earns $460 for working 40 hours a week. This week she also earned $69 in overtime pay and a bonus of $75 for meeting her weekly production quota. Withheld from her pay were $86 for taxes and $18 for insurance.

Which of the following expressions represents the number of dollars Tara received in her paycheck this week?

A.

69 + 75 - (86 + 18)

B.

460 + 69 + 75 + 86 + 18

C.

460 - (69 + 75) - (86 + 18)

D.

460 + 69 + 75 - (86 - 18)

E.

460 + 69 + 75 - (86 + 18)

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Question # 34

Conrad is required to review an average of 30 insurance cases each day during his five-day workweek. The table at the left shows how many cases he reviewed during the first four days.

What is the minimum number of cases Conrad must review on Friday to meet his required average for the week?

A.

150

B.

127

C.

33

D.

30

E.

23

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Question # 35

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

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Question # 36

If Keisha purchased 10 CDs during the year, how much MORE would she pay if she were NOT a member of the club than if she were a member?

A.

$10

B.

$20

C.

$30

D.

$40

E.

$50

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Question # 37

In the figure below, two parallel lines are intersected by a straight line.

What is the measure of angle ABC?

A.

10°

B.

20°

C.

80°

D.

100°

E.

120°

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Question # 38

Which of the following statements is supported by the graph?

A.

The growth rate of bacteria A is constant.

B.

The growth rate of bacteria B is constant.

C.

The difference between the numbers of bacteria A and B is constant.

D.

The growth rates of the two bacteria are approximately the same.

E.

The difference between the counts of bacteria A and B is constantly increasing.

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Question # 39

Five items were purchased for a total of $52.50. The three least expensive items cost $3.40, $7.90, and $9.80, respectively.

What was the cost of the most expensive of the 5 items?

A.

$15.70

B.

$42.70

C.

$44.60

D.

$49.10

E.

Not enough information is given.

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Question # 40

How many minutes must the chute remain open before all the grain is emptied?

A.

1

B.

2

C.

3

D.

4

E.

5

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Question # 41

Louise is raising money for a charity fund by participating in a walk-a-thon. Each of her 30 co-workers has pledged $0.25 for each mile she walks.

If Louise walks the entire 20-mile route, which of the following expressions represents the total amount, in dollars, she will raise for the charity fund?

A.

30 × 20 × 0.25

B.

30 × 20 + 0.25

C.

20 × 0.25 + 30

D.

20 + 30 × 0.25

E.

20 + 30 + 0.25

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Question # 42

 

A teacher has 12 pieces of candy for each of his 20 students. However, 5 students do not want any. If all the candy is distributed evenly to the remaining students, how many pieces will each receive?

A.

24

B.

20

C.

18

D.

16

E.

15

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Question # 43

Ella wants to save $800 for her college expenses. She has $200 in her savings account now, and she can save an additional $75 per week from her earnings at her part-time job.

How many weeks will it be before Ella has $800 in her savings account?

A.

12

B.

10

C.

8

D.

4

E.

Not enough information is given.

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Question # 44

An irrigation system for a small farm uses 750 gallons of water per hour. The system was turned on for 5 consecutive days for the following numbers of hours: 4.5, 8, 6.5, 2.5, and 8. What was the mean (average) number of gallons of water used daily by the irrigation system during those 5 days?

A.

3,161

B.

3,688

C.

4,425

D.

21,000

E.

22,125

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