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GMAT MATH

PRACTICE SESSION

Arithmetic - 2

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For the tutor

• Student should be asked to mark the correct answer.

• If the student commits a mistake, clear the concept immediately.

• For each correct answer, give one score.

• The scores for each slide should be written in the box at the bottom right

corner.

• After the session, the consolidated score should be written on the

last slide.

• These scores should be mailed to the manager.

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1. A laboratory has 55 rabbits, some white and the rest brown. Which of the

following could be the ratio of white rabbits to brown rabbits in the lab?

A) 2:3

B) 3:8

C) 5:11

D) 4:3

E) 5:1

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2. A ratio of to is equivalent to a ratio of

A) 7 to 10

B) 13 to 5

C) 17 to 10

D) 5 to 3

E) 7 to 5

25

3

13

3

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3. A recipe for egg nog calls for 2 eggs for every three cups of milk. If there are

four cups in a quart, how many eggs will be needed to mix with six quarts of

milk?

A) 48

B) 36

C) 24

D) 16

E) 12

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4. A student’s grade in a course is determined by four quizzes and one exam. If the

exam counts twice as much as each of the quizzes, what fraction of the final grade

is determined by the exam?

1A)

2

1B)

3

1C)

5

1D)

6

1E)

4

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5. In a certain factory with 2,700 workers, one-third of the workers are unskilled. If

600 of the unskilled workers are apprentices, what fraction of the unskilled

workers are not apprentices?

1A)

2

1B)

3

1C)

5

1D)

7

1E)

9

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6. If a kilogram is equal to approximately 2.2 pounds, which of the following is the

best approximation of the number of kilograms in one pound?

1A)

5

1B)

3

5C)

11

5D)

8

11E)

5

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7. If the ratio of boys to girls in a class is 4 to 3, which of the following could not be

the number of students in the class?

A) 56

B) 21

C) 84

D) 69

E) 63

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8. If cement, gravel and sand are to be mixed in the ratio 3:5:7 respectively, and 5

tons of cement were available, how many tons of the mixture can be made?

(Assume there is enough gravel and sand available to use all the cement.)

A) 75

B) 25

C) 20

D) 30

E) 15

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9. One-twentieth of the entrants in a contest won prizes. If 30 prizes were won,

and no entrant won more than one prize, how many entrants did NOT win

prizes?

A) 600

B) 540

C) 570

D) 300

E) 30

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10. An oculist charges $30 for an eye examination, frames and glass lenses, but $42 for

an eye examination, frames and plastic lenses. If the plastic lenses cost four times as

much as the glass lenses, how much do the glass lenses cost?

A) $8

B) $6

C) $5

D) $4

E) $2

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11. If 60 percent of X equals 20 percent of Y, what percent is X of Y?

1A) 133 %

3

1B) 33 %

3

C) 12%

D) 120%

E) 60%

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12. 36 percent of 18 is 18 percent of what number?

A) 48

B) 40

C) 36

D) 24

E) 9

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13. A $100 chair is increased in price by 50 percent. If the chair is then discounted by

50 percent of the new price, at what price will it be offered for sale?

A) $150

B) $125

C) $100

D) $75

E) $50

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14. Tim took 20 math tests last year. If he failed six of them, what percent of the math

tests did he pass?

A) 70%

B) 62.5%

C) 66.67%

D) 60%

E) 37.5%

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15. During April, a store had sales of $30,000. If this was a 20 percent increase over

the March sales, what were the March sales?

A) $28,000

B) $27,000

C) $25,000

D) $24,000

E) $22,500

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16. A stock decreases in value by 20 percent. By what percent must the stock price

increase to reach its former value?

A) 40%

B) 20%

C) 30%

D) 15%

E) 25%

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17. The population of a certain city increases by 50 percent every 50 years. If the

population in 1950 was 810, in what year was the population 160?

A) 1700

B) 1750

C) 1800

D) 1850

E) 1650

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18. A man bought 10 crates of oranges for $80 total. If he lost 2 of the crates, at what

price would he have to sell each of the remaining crates in order to earn a total

profit of 25 percent of the total cost?

A) $10.00

B) $120.00

C) $100.00

D) $15.00

E) $12.50

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19. A brush salesman earns $50 salary each month plus 10 percent commission on

the value of his sales. If he earned $200 last month, what was the total value of

his sales?

A) $1,000

B) $2,500

C) $2,000

D) $1,200

E) $1,500

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20. Five percent of a certain grass seed is timothy. If the amount of the mixture needed

to plant one acre contains 2 pounds of timothy, how many acres can be planted

with 240 pounds of the seed mixture?

A) 120

B) 24

C) 20

D) 6

E) 12

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21. In 1957, a new sedan cost $2,500; in 1965, the same type of sedan cost $4,800. The

cost of that type of sedan has increased by what percent between 1957 and 1965?

A) 48

B) 52

C) 92

D) 152

E) 192

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22. If then 3

4

d

e=

3

3

e

d=

9A)

16

16B)

9

27C)

16

27D)

64

64E)

27

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23. If a is less than b, which of the following numbers is greater than a and less than

b?

2 2

A) 2

B) 2

C)

D)

E)

ab

a b

ab

b a

b a

+

−

−

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24. A bus uses one gallon of gasoline to travel 15 miles. After a tune-up, the bus

travels 15% farther on one gallon. How many gallons of gasoline (to the nearest

tenth) will it take for the bus to travel 150 miles after tune-up?

A) 10.0

B) 9.0

C) 8.9

D) 8.7

E) 8.5

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25. In a survey of a city, it was found that 65% of the people surveyed watched the

news on television, 40% read a newspaper, and 25% read a newspaper and

watched the news on television. What percent of the people surveyed neither

watched the news on television nor read a newspaper?

A) 0%

B) 5%

C) 10%

D) 15%

E) 20%

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26. A share of stock in a company cost D dollars on Jan. 1, 2000. One year later, a

share increased to Q dollars. The fraction by which the cost of a share of stock

has increased in the year is

A)

B)

C)

D)

E)

Q D

D

Q

D

D

Q

D Q

Q

Q D

Q

−

−

−

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27. How much simple interest will $2,000 earn in 18 months at an annual rate of 6%?

A) $120

B) $180

C) $216

D) $1,800

E) $2,160

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28. The average of six positive numbers is 5. If the average of the least and the

greatest of these numbers is 7, what is the average of the other four numbers?

A) 3

B) 4

C) 5

D) 6

E) 7

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29. If the average of a, b and 7 is 13, what is the average of a + 3, b – 5 and 6?

A) 16

B) 12

C) 10

D) 9

E) 7

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30. Fifteen movie theaters average 600 customers per theater per day. If six of the

theaters close down but the total theater attendance stays the same, what is the

average daily attendance per theater among the remaining theaters?

A) 1,200

B) 1,500

C) 1,000

D) 750

E) 500

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Scores Obtained

Maximum scores 30

Scores Obtained