gremath set8-1-signed.pdf

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GRE Math °-ÁÂ Set 8-1

À±ÅÂÈ- ¿µ¾î ¿¬±¸ ½Ç, http://www.vstudy.co.kr, [email protected] , 02-538-5999, Page 1

Category 8 Word Problem

1. Water has been pouring into a tank for2

112 minutes at the constant rate of 1 gallon per

second. If the tank was initially empty and is now3

1 full, what is the total capacity of the

tank, in gallons?

(A) 375

(B) 1,125

(C) 1,500

(D) 2,160

(E) 2,250

2. During a sale, Pam paid the regular price for one quart of oil and paid $0.01 for a second quart.

If she paid a total of $1.20 for the two quarts, the amount paid for the second quart was what

fraction of the amount paid for the first quart?

(A)1181

(B)1191

(C)120

1 (D)

1211

(E)122

1

3. A carpenter purchases a hammer costing $8.03, a bag of nails costing $5.16, and a tape measure

costing $2.81 with a twenty-dollar bill. How much change does the carpenter receive if a salestax of 5 percent is charged on the entire purchase?

(A) $3.20

(B) $3.29

(C) $3.80

(D) $4.00

(E) $4.80

answer

E

answer

answer


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4. A certain property doubl ed in value from 1950 to 1960 and tripled in value from 1960 to 1980.

The value of the property in 1980 was how many times the value in 1950?

(A) 3(B) 5

(C) 6

(D) 8

(E) 9

5. Of the final grades received by the students in a certain math course,5

1 are A ’s,

4

1 are

B ’s,2

1 are C ’ s and the remaining 10 grades are D ’ s. What is the number of students

in the course?

(A) 80

(B) 110

(C) 160

(D) 200

(E) 400

6. If 50 tomatoes weigh a total of 30 pounds and cost 35 cents per pound, what is the cost per

tomato?(A) 17 cents

(B) 21 cents

(C) 24 cents

(D) 28 cents

(E) 35 cents

answer

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7. On a new job Alice earned $198 the first week and $220 the second week. If she worked 4

more hours the second week than the first week and was paid at the same hourly rate, how

much did she earn per hour?(A) $4.00

(B) $4.50

(C) $5.00

(D) $5.50

(E) $6.00

8. If a store purchased 6 dozen items at a cost of $1.80 per dozen and later sold them all for $0.20

apiece, what was the store’ s profit on these items?

(A) $2.16

(B) $2.40

(C) $2.84

(D) $3.20

(E) $3.60

9. A mail clerk put 1 or 2 stamps on each of 20 envelopes, using a total of 36 stamps. On how

many of the envelopes did the clerk put 2 stamps?

(A) 4

(B) 6(C) 8

(D) 12

(E) 16

answer

answer

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10. In 1984 the production costs of Company X totaled $719,000 and nonproduction costs

totaled $15,000. In 1985 robots were introduced, and production costs dropped to $600,000,

but nonproduction costs rose to $65,000 for the year. What was the decrease in total costs forCompany X from 1984 to 1985?

(A) $50,000

(B) $69,000

(C) $119,000

(D) $134,000

(E) $169,000

11. In traveling from a dormitory to a certain city, a student went5

1 of the way by foot,

3

2 of

the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers,

from the dormitory to the city?

(A) 30

(B) 45

(C) 60

(D) 90

(E) 120

12. 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 thebananas was $10.00?

(A) 40

(B) 60

(C) 90

(D) 120

(E) 240

answer

answer

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13. 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, hismiddle child $10,000, and his youngest $2,000, how much did the youngest child receive from

the estate?

(A) $50,000

(B) $48,000

(C) $46,000

(D) $44,000

(E) $39,000

14. On a 3-day fishing trip, 4 adults consumed food costing $60. For the same food costs per

person per day, what would be the cost of food consumed by 7 adults during a 5-day fishing

trip?

(A) $300

(B) $175

(C) $105

(D) $100

(E) $84

15. 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 monthswill he weigh 180 pounds?

(A) 3

(B) 3.5

(C) 4

(D) 4.5

(E) 5

answer

answer

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16. Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable

income of $22,500 for the year. If the state tax rate were 4 percent of the year’ s taxable

income prorated for the proportion of the year during which the taxpayer was a resident, whatwould be the amount of Mr. Hernandez’s State X tax for last year?

(A) $900

(B) $720

(C) $600

(D) $300

(E) $60

17. If a 50-pound food package consists of individual 4-ounce packets, how many individual

packets are contained in 4 tons of 50-pound packages? (Assume that all weights given exclude

the weight of packaging material. 1 ton = 2,000 pounds; 1 pound = 16 ounces)

(A) 32,000

(B) 8,000

(C) 800

(D) 200

(E) 160

18. The cost of sending a package is 30 cents per ounce in addition to a basic fee of 5 dollars. If

integer x represents the weight in ounces of a certain package, which of the followingrepresents the cost, in dollars, of sending the package?

(A) 30.05 + x (B) 30.0)5( x+ (C) x30.05 − (D) 530.0 + x (E) 570.0 + x

answer

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19. An empty oil tanker was filled with oil at a uniform rate in t hours. What proportion of

the tanker was filled during the first x hours if t x < ?

(A)t

x (B) xt (C)

xt x−

(D)t xt − (E) x xt −

20. If a basketball team scores an average (arithmetic mean) of x points per game for n

games and then scores y points in its next game, what is the team’ s average score for the

1+n games?

(A)1+

+n

ynx

(B)1+

+n

y x

(C)n

y x +

(D) 1

)(

+

+n

y xn

(E)1+

+n

ny x

21. If a train travels at a speed of k meters per second, how many kilometers will it travel in t

minutes? (1 kilometer = 1,000 meters)

(A)000,1

60kt

(B)100

60kt

(C)60

000,1 kt

(D) kt 000.6

(E) kt 000,60

answer

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< High Level ¹®Á¦ >

22. Mason and Kathy, who both work in the evening wish to arrange for an evening off together.Each evening that Mason is off is followed by 3 evenings that he is a work, and each evening

that Kathy is off is followed by 5 evenings that she is at work. If Mason will be off this

evening, and Kathy will be off tomorrow evening, how many evenings must pass before they

have an evening off together?

(A) 10

(B) 12

(C) 24

(D) 28

(E) So long as they continue this working pattern, they will never have the same evening off.

23. On a certain 10-question test, each question after the first question is worth 2 points more

than the previous question. If the greatest number of points that can be scored on the test is

100, how many points is the eighth question worth?

(A) 9

(B) 14

(C) 15

(D) 19

(E) 33

24. A certain car dealership sells only full-size and mid-size cars. One of its sales representatives

receives an annual salary of $15,000. He also receives a commission of $800 for each full-sizecar he sells and $500 for each midsize car he sells. What is the least number of cars he must

sell in a year to receive total annual earnings of exactly $25,000?

(A) 7

(B) 12

(C) 13

(D) 14

(E) 17

answer

answer

answer


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25. A school supply store sells only one kind of desk and one kind of chair, at a uniform cost per

desk or per chair. If the total cost of 3 desks and 1 chair is twice that of 1 desk and 3 chairs

then the total cost of 4 desks and 1 chair is how many times that of 1 desk and 4 chairs?

(A) 5 (B) 3 (C)3

8 (D)

2

5 (E)

3

7

26. A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of

the calculators as demonstrators and sold each of the others for $5 more than the average

(arithmetic mean) cost of the x calculators. If the total revenue from the sale of the

calculators was $120 more than the cost of the shipment, how many calculators were in the

shipment?

(A) 24

(B) 25

(C) 26

(D) 28

(E) 30

27. A manufacturer can save x dollars per unit in production costs by overproducing in certain

seasons. If storage costs for the excess are y dollars per unit per day )( y x > , which ofthe following expresses the maximum number of days that n excess units can be stored

before the storage costs exceed the savings on the excess units?

(A) y x − (B) n y x )( −

(C) y

x

(D) y

xn

(E) yn

x

answer

answer

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28. A certain disability plan pays monthly benefits of 60 percent of the first $2,000 of monthly

salary plus 40 percent of any portion in excess of $2,000 —the total monthly benefit not to

exceed $2,500. What is the smallest monthly salary that will yield the maximum monthlybenefit under this plan?

(A) $5,750

(B) $5,250

(C) $4,500

(D) $3,250

(E) $2,200

29. One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the

defective switches are rejected and20

1 of the nondefective switches are rejected by mistake.

If all the switches not rejected are sold, what percent of the switches sold by the factory are

defective?

(A) 4%

(B) 5%

(C) 6.25%

(D) 11%

(E) 16%

30. In Company X , 30 percent of the employees live over ten miles from work and 60 percent of

the employees who live over ten miles from work are in car pools. If 40 percent of the

employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?

(A) 12%

(B) 20%

(C) 22%

(D) 28%

(E) 32%

answer

answer

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31. A garment order consists of jackets costing $36 each and shirts costing $26 each. If the total

cost of the order is $1,200, and if the average (arithmetic mean) cost per garment is $30, how

many more shirts than jackets are in the order?(A) 32

(B) 22

(C) 18

(D) 13

(E) 8

32. The front wheels of a toy truck are 4 inches in circumference. The back wheels are 7 inches

in circumference. If the truck travels in a straight line without slippage, how many inches

will the truck have traveled when the front wheels have made 12 more revolutions than the

back wheels?

(A) 112

(B) 64

(C) 48

(D) 36

(E) 28

33. A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female

members, the average number sold was 84, and among the male members, the average number

sold was 96. What was the ratio of the number of male members to the number of femalemembers i n the club?

(A) 1 : 1

(B) 1 : 2

(C) 1 : 3

(D) 2 : 1

(E) 3 : 1

answer

answer

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34. A team won 40 percent of the 15 games it has already played. If the team were to win 75

percent of its remaining games, it will have won 60 percent of all its games. How many

remaining games are there?(A) 12

(B) 20

(C) 24

(D) 30

(E) 45

35. In a quality control process it has been determined that all of the engines that fail inspection

are faulty, but approximately6

1 of the faulty engines pass inspection. If, in a group of 1,000

engines, 100 fail inspection, approximately how many faulty engines pass inspection?

(A) 16

(B) 20

(C) 50

(D) 70

(E) 120

36. If an organization were to sell n tickets for a theater production, the total revenue from

ticket sales would be 20 percent greater than the total costs of the production. If the

organization actually sold all but 5 percent of the n tickets, the total revenue from ticket

sales was what percent greater than the total costs of the production?(A) 4%

(B) 10%

(C) 14%

(D) 15%

(E) 18%

answer

answer

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37. Jeff drove to work from his home averaging 40 miles per hour, and was 12 minutes late. The

next day he left home for work at the same time, took the same route, averaging 48 miles per

hour, and was 7 minutes late. How far in miles is it from Jeff’ s home to his work?(A) 20.0

(B) 24.5

(C) 30.0

(D) 37.5

(E) 40.0

38. If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per

hour faster, he would have covered 70 more miles than he actually did. How many more

miles would he have covered than he actually did if he had driven 2 hours longer and at an

average rate of 10 miles per hour faster on that day?

(A) 100

(B) 120

(C) 140

(D) 150

(E) 160

39. When a certain stretch of highway was rebuilt and straightened, the distance along the stretch

was decreased by 20 percent and the speed limit was increased by 25 percent. By what

percent was the driving time along this stretch reduced for a person who always drives at the

speed limit?

(A) 16%(B) 36%

(C)2

137 %

(D) 45%

(E)4

156 %

answer

answer

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40. Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water

evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the

remaining 6 kilograms of liquid, what percent of this new solution is liquid X ?(A) 30%

(B)3

133 %

(C)2

137 %

(D) 40%

(E) 50%

41. How many gallons of water must be mixed with 1 gallon of a 15-percent salt solution to obtain

a 10-percent salt solution?

(A) 0.50

(B) 0.67

(C) 1.00

(D) 1.50

(E) 2.00

42. The seating chart of an airplane shown 30 rows of seats. Each row has 3 seats on each side of

the center aisle, and one of the seats on each side is a window seat. The view from the window

seats in 5 of the rows is obscured by the wings of the airplane. If the first person to be assigned

a seat is assigned a window seat and the window seat is assigned randomly, what is the

probability that the person will get a seat with an unobscured view?

(A)

6

1

(B)3

1

(C)3

2

(D)6

5

(E)

18

17

answer

answer

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43. One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot

Monday morning. If 50 percent of the trucks that were rented out during the week were

returned to the lot on or before Saturday morning of that week, and if there were at least 12trucks on the lot that Saturday morning, what is the greatest number of different trucks that

could have been rented out during the week?

(A) 18

(B) 16

(C) 12

(D) 8

(E) 4

44. A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of

gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the

highway, how many miles per gallon did the car travel in the city?

(A) 14

(B) 16

(C) 21

(D) 22

(E) 27

45. On a 20-mile course Pat bicycled at an average rate of 30 miles per hour for the first 12

minutes and, without a break, ran the rest of the distance at an average rate of 8 miles per hour.How many minutes did Pat take to cover the entire course?

(A) 75

(B) 105

(C) 117

(D) 150

(E) 162

answer

answer

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46. An investor bought n shares of Company X stock at $75 per share. She sold 60 percent

of the shares for $120 per share and the rest at a later date for $70 per share. If her gross

profit on the sale of the n shares of stock was $7,500, how many shares did she buy?(A) 375

(B) 300

(C) 100

(D) 95

(E) 75

47. In 1982 a certain company had losses of $10,000 per month. In the first three months of 1983,

this company had gains of $4,000 per month. On the average, what would the company need

to gain per month in the remainder of 1983 in order to break even over this two-year period?

(A) $9,000

(B) $10,800

(C) $12,000

(D) $13,500

(E) $18,000

48. An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and

$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties,how many copies of her book were sold?

(A) 130,000

(B) 300,000

(C) 380,000

(D) 400,000

(E) 420,000

answer

answer

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49. For each hour worked in excess of 40 hours per week, a mechanic is paid2

11 times her

regular rate of $12 per hour. Her gross pay for a week in which she works 52 hours is equalto her pay at the regular rate for how many hours?

(A) 58

(B) 64

(C) 66

(D) 70

(E) 78

50. Fifty percent of the subscribers to newspaper X are corporate managers and of these, 30

percent are in the financial field. If 40 percent of the subscribers who are corporate

managers in the financial field are money managers, how many of the newspaper’s 25,000

subscribers are corporate money managers in the financial field?

(A) 1,500

(B) 3,000

(C) 3,750

(D) 7,500

(E) 8,750

51. Reggie had to type 90 letters. During the first day he typed3

1 of the letters, and during the

second day he typed

5

2 of the remaining letters. How many letters were still untyped at the

end of the second day?

(A) 36

(B) 32

(C) 24

(D) 18

(E) 12

answer

answer

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52. One karat signifies that24

1 of an alloy is pure gold. If a certain ring is 14-karat gold,

approximately what percent of the alloy composing the ring is not gold?(A) 14% (B) 24% (C) 42% (D) 55% (E) 58%

53. At a certain pizzeria,8

1 of the pizzas sold in one week were mushroom and

3

1 of the

remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how many

were mushroom?

(A) n8

3

(B) n7

3

(C) n16

7

(D) n8

7

(E) n3

54. Beth received10

3 of the votes cast in a certain election. What fraction of the other votes

cast would she have needed in order to have received2

1 of the votes cast?

(A)

5

1

(B)7

2

(C)10

3

(D)20

7

(E)

2

1

answer

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55. From January 1, 1980, to January 1, 1984, the number of employees of Company X

declined by 700 per year. If the number of employees on January 1, 1984, was 80 percent of

the number on January 1, 1980, how many employees did the company have on January 1,1984?

(A) 2,800

(B) 3,500

(C) 11,200

(D) 16,800

(E) 17,500

56. Both marble tiles and terra-cotta tiles are available in squares with 12-centimeter sides, but

marble tiles cost x cents more per tile than terra-cotta tiles. How much more would it cost,

in cents, to tile a rectangular floor 240 centimeters by 120 centimeters with marble tiles than

with terra-cotta tiles?

(A) x200

(B) x360

(C) x720 (D) x400,2

(E) x144800,28 −

57. If 6 machines ran at the same constant rate, they can complete a certain job in 8 hours. If

only 5 of these machines run at this rate, how many more minutes will be required to completethe same job?

(A) 38

(B) 72

(C) 80

(D) 90

(E) 96

answer

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58. An inlet pipe can fill an empty pool with water in 3 hours, and the pool’ s outlet pipe can empty

a full pool in 4 hours. The water flows at constant rates through both pipes regardless of the

water level in the pool. If both pipes were inadvertently left open, what fraction of the poolwould be filled exactly 2 hours after water began to flow into the empty pool?

(A)12

1 (B)

6

1 (C)

4

1 (D)

3

1 (E)

2

1

59. Working alone, R can complete a certain kind of job in 9 hours. R and S , working

together at their respective rates, can complete one of these jobs in 6 hours. In how many

hours can S , working alone, complete one of these jobs?

(A) 18

(B) 12

(C) 9

(D) 6

(E) 3

60. Machines ,, B A and C working together, but independently, at their respective constant

rates can do a certain job in2

11 hours. If A alone can do the job in 5 hours, and B

alone can do the job in 3 hours, in how many hours can C alone do the job?

(A)311

(B)7

12

(C) 3

(D) 5

(E)2

17

answer

answer

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61. Bell X rings once every 12 minutes, bell Y once every 14 minutes, and bell Z once every

15 minutes. If, during a given day, the three bells ring at exactly the same instant, how many

minutes will elapse before the three bells next ring simultaneously?(A) 60

(B) 210

(C) 420

(D) 840

(E) 2,520

62. How many bits of computer memory will be required to store the integer x , were

000,810−= x , if each digit requires 4 bits of memory and the sign of x requires 1 bit?

(A) 25

(B) 24

(C) 17

(D) 13

(E) 12

63. 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 areon the same science?

(A) 81

(B) 159

(C) 166

(D) 285

(E) 324

answer

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64. In a certain game, a player can accumulate points only by scoring either an X , which counts

3 points, or a Y , which counts 2 points. If a player scored 24 points in the game and t

points were made by scoring X ’ s how many different values could t have?(A) Four

(B) Five

(C) Six

(D) Seven

(E) Eight

65. An apartment building has 9 floors with n2 apartments per floor. If3

1 of the apartments

are to have walls removed to form, in each case, one bigger apartment from two smaller ones,

how many apartments will there be after the remodeling?

(A) n3

(B) n5

(C) n6

(D) n12

(E) 4 n15

66. One-fourth of a solution that was 10 percent sugar by weight was replaced by a second

solution, resulting in a solution that was 16 percent sugar by weight. The second solution was

what percent sugar by weight?

(A) 34%

(B) 24%(C) 22%

(D) 18%

(E) 8.5%

STOP

answer

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¼öÇÐÇØ¼³ Category 8-1 Word Problems

1. Water has been pouring into a tank for2

112 minutes at the constant rate of 1 gallon per

second. If the tank was initially empty and is now3

1 full, what is the total capacity of the

tank, in gallons?

(A) 375 (B) 1,125 (C) 1,500 (D) 2,160 (E) 2,250

12(1/2)minuteś Â 12º Ð 30ÃÊ, ´ Ù½Ã second·Î °í Ä¡ ¸ é 12×60 + 30 = 750 seconds. À§¿¡ ¼ per second

´ ç 1 gallonÀÇ ¼Óµµ·Î Áõ°¡ ÇÑ́ Ù°í ÇßÀ̧ ´ Ï 750ÃÊ µÚ¿¡ ´ Â 750 gallonÀÌ Áõ°¡ ÇßÁÒ. ÀÌ ¾çÀº ÀüÃ¼

ÅÊÅ©ÀÇ capacityÀÇ 1/3À» Ã¤¿î ´ Ù. µû¶ó¼ 7503

=capacity

ÿ Á¤´ äÀº (E)

2. During a sale, Pam paid the regular price for one quart of oil and paid $0.01 for a second quart.

If she paid a total of $1.20 for the two quarts, the amount paid for the second quart was what

fraction of the amount paid for the first quart?

(A)118

1 (B)

119

1 (C)

120

1 (D)

121

1 (E)

122

1

119

1

)01.020.1(19.1$

01.0$ =

−

Tip : fractions À̄ ÇüÀÇ ¹ ®Á¦ ¸ ¦ Ç® ¶§ ÁÖÀÇÇÒ Á¡ Àº º Ð̧ ð¿Í º ÐÀÚ

¸ ¦ È¥µ¿ÇÏ Áö ¸ »¾Æ¾ß ÇÑ́ Ù́ Â Á¡ ÀỐ Ï ´ Ù. ¿©±â¼ ´ Â the amount paid for the first quartÀÇ what

fractionÀ» ¹ ¯´ Â °Í ÀÌ ´ Ï ±î ÀÌ °Í ÀÌ º Ð̧ ð°¡ µÇ¾î ¾ß ÇṌ Ï ´ Ù.

ÿ Á¤´ äÀº (B)

Tips: Fractions ÀÇ Á¤ÀÇ

divisor

dividend

whole

part

ator deno

numerator

n

d ===min


24/48



3. A carpenter purchases a hammer costing $8.03, a bag of nails costing $5.16, and a tape measure

costing $2.81 with a twenty-dollar bill. How much change does the carpenter receive if a sales

tax of 5 percent is charged on the entire purchase?(A) $3.20

(B) $3.29

(C) $3.80

(D) $4.00

(E) $4.80

$ 20 – 1.05($8.03 + $5.16 + $2.81) = $3.20

ÿ Á¤´ äÀº (A)

4. A certain property doubled in value from 1950 to 1960 and tripled in value from 1960 to 1980.

The value of the property in 1980 was how many times the value in 1950?

(A) 3

(B) 5

(C) 6

(D) 8

(E) 9

1950 2¹ è 1960 3¹ è 1980 , µû¶ó¼ 1980³ âÀº 1950³ âÀ» ±âÁØÀ̧ · Î 6¹ è° ¡ Áõ°¡

ÇßÁÒ.

ÿ Á¤´ äÀº (C)

5. Of the final grades received by the students in a certain math course,5

1 are A ’s,

4

1 are

B ’s,2

1 are C ’ s and the remaining 10 grades are D ’ s. What is the number of students

in the course?

(A) 80 (B) 110 (C) 160 (D) 200 (E) 400

1− (1/5+1/4+1/2) =20

1(the number of students in the course) = 10 ¸ í

µû¶ó¼ ÀüÃ¼ ÇÐ»ý¼ö´ Â 200¸ í ÀỐ Ï ´ Ù.

ÿ Á¤´ äÀº (D)


25/48



6. If 50 tomatoes weigh a total of 30 pounds and cost 35 cents per pound, what is the cost per

tomato?

(A) 17 cents(B) 21 cents

(C) 24 cents

(D) 28 cents

(E) 35 cents

Åä¸ ¶Åä 50°³ ÀÇ ¹ «°Ô°¡ 30 poundsÀÌ ¸ ç 1 pound́ ç °¡ °ÝÀº 35centÀÏ ¶§ Åä¸ ¶Åä ° ³ ´ ç ° ¡ °ÝÀ» ¹ °

¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

¼ö½Ä: ( 30 pounds × 35(cents) ) / 50 (°³ ) = 21 cents


7. On a new job Alice earned $198 the first week and $220 the second week. If she worked 4

more hours the second week than the first week and was paid at the same hourly rate, how

much did she earn per hour?

(A) $4.00 (B) $4.50 (C) $5.00 (D) $5.50 (E) $6.00

½Ã°£´ ç ±Þ·á° ¡ ÀÏ Á¤ÇÑ Á¶° Ç ÇÏ ¿¡ ¼ Ã¹ ÁÖ́ Â $198À» µÎ ¹ øÂ° ÁÖ¿¡ ´ Â $220À» ¹ ú¾úÀ̧ ¸ ç, µÎ ¹ ø

Â° ÁÖ¿¡ ´Â 4½Ã°£À» ´ õ ÀÏ Çß´ Ù°í ÇṌ Ï ´ Ù. ½Ã°£´ç ±Þ· á¸ ¦ ¾Ë°í ½Í À̧ ¸ é µÎ ÁÖ°£ÀÇ ±Þ· áÀÇ Â÷ÀÌ

¸ ¦ 4½Ã°£À̧ · Î ³ ª ´ ©̧ é µÇ°Ú±º ¿ä.

¼ö½Ä) 22(dollars) / 4 (hours) = 5. 5 (dollar/hour)

ÿ ´ äÀº (D)ÀỐ Ï ´ Ù.

8. If a store purchased 6 dozen items at a cost of $1.80 per dozen and later sold them all for $0.20apiece, what was the store’ s profit on these items?

(A) $2.16 (B) $2.40 (C) $2.84 (D) $3.20 (E) $3.60

12°³ ¿¡ $1.8ÇÏ ´ Â ¹ °°ÇÀ» 72° ³ ±̧ ÀÔ(6 dozen items)ÇÏ°í ÀÌ ¸ ¦ ° ³ ´ ç $0.20¿¡ ÆÇ̧ ÅÇÒ ¶§ÀÇ ¼öÀÍ À»

¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

°³ ´ ç ±¸ÀÔ°¡ °ÝÀ» ¸ ÕÀú ±¸ ÇÏ °í ( 1.8 (dollars) / 12(°³ ) = 0.15 ) ÆÇ̧ Å°¡ °Ý¿¡ ¼ ±̧ ÀÔ°¡ °ÝÀ» »« ±Ý

¾×¿¡ ( 0.2(dollar) – 0.15(dollar) = 0.05(dollar) ) ¼ö· ®À» °öÇÏ ¿© ÁÖ̧ é µÇ°Ú½À́ Ï ´ Ù.

ÿ ´ äÀº (E)ÀỐ Ï ´ Ù.


26/48



9. A mail clerk put 1 or 2 stamps on each of 20 envelopes, using a total of 36 stamps. On how

many of the envelopes did the clerk put 2 stamps?

(A) 4 (B) 6 (C) 8 (D) 12 (E) 16

20°³ ÀÇ º ÀÅõ¿¡ ÇÑ °³ ¶Ḉ Â µÎ °³ ÀÇ ¿ì Ç¥¸ ¦ º Î Ä¡ ´ Âµ¥ 36°³ ÀÇ ¿ì Ç¥¸ ¦ »ç¿ëÇß´Ù. µÎ °³ ÀÇ ¿ì Ç¥

¸ ¦ º Î Ä£ º ÀÅõ´Â ¸ î °³ ÀÎ °¡ ¸ ¦ º Ñ°í ÀÖ½À́ Ï ´ Ù.

±âº »ÀûÀ̧ · Î 20°³ÀÇ º ÀÅõ¿¡ ÇÑ °³ ¾¿ ¿ì Ç¥¸ ¦ º Î Ä¡ °í µµ 16°³ ¸ ¦ ´ õ »ç¿ëÇßÀ̧ ¹ Ç· Î µÎ °³ ÀÇ ¿ì Ç¥

¸ ¦ º Î Ä£ º ÀÅõ´Â 16°³ ÀỐ Ï ´ Ù.


10. In 1984 the production costs of Company X totaled $719,000 and nonproduction costs

totaled $15,000. In 1985 robots were introduced, and production costs dropped to $600,000,

but nonproduction costs rose to $65,000 for the year. What was the decrease in total costs for

Company X from 1984 to 1985?

(A) $50,000 (B) $69,000 (C) $119,000 (D) $134,000 (E) $169,000

production cost´Â$719,000, nonproduction cost´ Â $15,000¿´ ´ Âµ¥ ÀÛ¾÷°øÁ¤¿¡ · Î º ¸ Æ®°¡ µµÀÔµÈ ÈÄ

production cost´ Â $600,000À̧ · Î °¨ ¼ÒÇÏ °í nonproduction cost $65,000· Î º ¯ÇßÀ» ¶§ º ñ¿ëÀüÃ¼ °¨

¼Ò̧ ¦ ±¸ÇÏ ¶ó´ Â ¹ ®Á¦ ÀỐ Ï ´ Ù. Áï $719,000 e $600,000À̧ · Î °¨ ¼Ò: $15,000 e 65,000Áõ°¡

µÎ °ª À» ÇÕÄ¡ ¸ é $734,000 e $665,000 °¨ ¼ÒµË́ Ï ´ Ù. ÀÌ µÎ °ª ÀÇ Â÷ÀÌ °¡ Á¤´ äÀÌ ³ ×¿ä.


11. In traveling from a dormitory to a certain city, a student went5

1 of the way by foot,

3

2 of

the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers,

from the dormitory to the city?(A) 30 (B) 45 (C) 60 (D) 90 (E) 120

1/5¸ ¦ µµº ¸ · Î 2/3´ Â ¹ ö½º · Î ±×̧ ®°í ³ ª ¸ ÓÁö 8Km´ Â ÀÚµ¿Â÷̧ ¦ ÀÌ ¿ëÇÑ́ Ù°í ÇÒ ¶§ ±â¼÷»ç¿¡¼

µµ½Ã±î ÁöÀÇ °Å̧ ®̧ ¦ ¹ °¾î º ¸ °í ÀÖ́ Ù.

ÀüÃ¼°Å̧ ®̧ ¦ D¶ó °¡ Á¤ÇÏ °í Ç®̧ é : D – (1/5D+2/3D)= 8 (Km)



27/48



12. A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at

4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the

bananas was $10.00?(A) 40 (B) 60 (C) 90 (D) 120 (E) 240

3 pounds ÀÇ ¹ Ù³ ª ³ ª ¸ ¦ $0.5¿¡ ±¸ ÀÔÇÏ ¿© 4 poundsÀÇ ¹ Ù³ ª ³ ª ¸ ¦ $1¿¡ ÆÇ̧ ÅÇÒ ¶§ ¾ó¸ ¶¸ ¸ Å ÀÇ ¹ Ù

³ ª ³ ª ¸ ¦ ÆÇ̧ ÅÇØ¾ß $10.00ÀÇ ¼öÀÍ À» ° ÅµÑ ¼ö ÀÖ́ ÂÁö¸ ¦ ¹ °¾î º ¸ ° í ÀÖ́ Ù.

ÆÄ¿î µå ´ ç ±¸ÀÔ°¡ °Ý ¹ × ÆÇ̧ Å°¡ °ÝÀ» ±̧ ÇÏ¿© $10À» ³ ª ´ ©¾î µµ µÇ°ÚÁö¸¸ , ´ äÀ» »¡ ¸ ® ±̧ ÇÏ±â À§

ÇØ¼ ´ Â 3° ú 4ÀÇ ÃÖ¼Ò°ø¹ è¼öÀÎ 12¸ ¦ ±¸ ÇÏ ¿© Ç®̧ é º ü¸ £°Ô Ç® ¼ö ÀÖ́ Ù.

±¸ ÀÔ½Ã : 12 pounds $ 2

ÆÇ̧ Å½Ã : 12 pounds $ 3

±×· ¯¹ Ç· Î 12 pound¸ ¦ ÆÇ̧ ÅÇÒ ¶§ ¸ ¶´ Ù $1¸ ¸ Å ¼öÀÍ À» ¿Ã̧ °´ Ù.

12 pounds: $1 = x : $10


13. A man who died left an estate valued at $111,000. His will stipulated that his estate was to be

distributed so that each of his three children received from the estate and his previous gifts,

combined, the same total amount. If he had previously given his oldest child $15,000, his

middle child $10,000, and his youngest $2,000, how much did the youngest child receive from

the estate?

(A) $50,000

(B) $48,000

(C) $46,000

(D) $44,000

(E) $39,000

$111,000ÀÇ Àç»êÀ» ¼¼ ¾Æµéµé¿¡ °Ô ³ ª ´ ©¾î ÁÙ ¶§, Å« ¾ÆµéÀÌ $15,000, µÑÂ°°¡ $10,000, ±×̧ ®°í

¸ · ³ »°¡ $2,000À» ±× Àü¿¡ ¹ Þ¾Ò½À́ Ï ´ Ù. $111,000ÀÇ ³ ª ´ ©µÇ ±× Àü¿¡ ¹ ÞÀº µ· °ú »õ·Î ¹ ÞÀº µ·À»

ÇÕÃÄ ¸ ðµÎ ¶È°°Àº ±Ý¾×À» ¹ Þ¾Ò́ Ù̧ é , $111,000 Áß¿¡ ¼ ¸ · ³ » ¾ÆµéÀÇ ¸ òÀÌ ¾ó¸¶ÀÎ °¡ ¸ ¦ ±̧ ÇÏ ´Â

¹ ®Á¦ ³ ×¿ä.

$111,000+$15,000+$10,000+$2,000 ÷3 = $46,000( °¢°¢ÀÌ ¹ ÞÀº ÃÑ ¾×¼ö)

¸ · ³ »´ Â ±× Àü¿¡ $2,000À» ¹ Þ¾ÒÀ̧ ¹ Ç· Î $46,000 - $2,000 = $44,000À» estate¿¡ ¼ ¹ Þ¾Ò½À́ Ï ´ Ù.



28/48



14. On a 3-day fishing trip, 4 adults consumed food costing $60. For the same food costs per

person per day, what would be the cost of food consumed by 7 adults during a 5-day fishing

trip?(A) $300 (B) $175 (C) $105 (D) $100 (E) $84

4¸ í ÀÌ 3ÀÏ µ¿¾È $60À» food¿¡ ÁöÃâÇß´Ù̧ é 1¸ í ÀÌ ÇÏ · çµ¿¾È À½½Ä¿¡ ¾² ´ Â °æº ñ´Â

5$43

60$ =×− adultsday

, 7¸ í ÀÌ 5ÀÏ µ¿¾È À½½Ä¿¡ ÁöÃâÇÏ ´ Â µ·Àº $5×7 adults ×5-day = $175


15. 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?

(A) 3

(B) 3.5

(C) 4

(D) 4.5

(E) 5

6 months: 24 pounds (222 pounds − 198 pounds) = X : 18 pounds(198 pounds – 180 pounds)

X = 4.5


16. Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable

income of $22,500 for the year. If the state tax rate were 4 percent of the year’ s taxable

income prorated for the proportion of the year during which the taxpayer was a resident , what

would be the amount of Mr. Hernandez’s State X tax for last year?(A) $900 (B) $720 (C) $600 (D) $300 (E) $60

$ 22,500 × 0.04 × (8/12) = $ 600;

¹ ®Á¦ ¿¡ ¼ »¡°£ ÁÙÀÌ ÀÖ́ Â ºÎ º ÐÀÇ ÀÇ¹ Ì ´ Â ¼¼±Ý³ ³ ¼¼ÀÚ°¡ ÀÏ³ â Áß resident· Î¼ ±× ÁÖ¿¡ ¼ »ê

±â°£¸ ¸ Å ¼¼±ÝÀ» ° è»êÇÑ́ Ù́ Â ÀÇ¹ Ì ÁÒ. ÀÏ³ â Áß 8°³ ¿ùÀ» ¾î ¶² ÁÖ¿¡ ¼ »ì ¾Ò́ Ù̧ é ÀüÃ¼ ¼¼±ÝÀÇ

12

8¸ ¸ Å ¸ ¸ ³ ³ ¼¼ÇÏ ¿© µÈ́ Ù́ Â ¶æÀỐ Ï ´ Ù.



29/48



17. If a 50-pound food package consists of individual 4-ounce packets, how many individual

packets are contai ned in 4 tons of 50-pound packages? (Assume that all weights given exclude

the weight of packaging material. 1 ton = 2,000 pounds; 1 pound = 16 ounces)(A) 32,000 (B) 8,000 (C) 800 (D) 200 (E) 160

4tons ×2000 pounds ×16 ounces = 128,000 ounces

ÀÌ °Í À» 4-ounce· Î ³ ª ´ ©̧ é ±× °ª ÀÌ packetsÀÇ ÃÑ ¼öÀỐ Ï ´ Ù. 128,000 ÷ 4 = 32,000


18. The cost of sending a package is 30 cents per ounce in addition to a basic fee of 5 dollars. If

integer x represents the weight in ounces of a certain package, which of the following

represents the cost, in dollars, of sending the package?

(A) 30.05 + x (B) 30.0)5( x+ (C) x30.05 − (D) 530.0 + x (E) 570.0 + x

¹ °°ÇÀ» º ¸ ³ »´Âµ¥ ±âº »¿ä±ÝÀÌ $5¿¡ ounce´ ç 30cent¾¿ Ãß°¡ µÈ́ Ù́ Â ³ »¿ëÀỐ Ï ´ Ù.´ ÜÀ§¸ ¦ ÁÖÀÇÇÏ ¿©

¹ ®Á¦ ¸ ¦ ÇØ°áÇØ¾ß ÇṌ Ï ´ Ù.

Cent¸ ¦ $´ ÜÀ§· Î ° í Ä¡ ¸ é 30cent´ Â $0.3ÀÌ µÇÁÒ…

ÿ ´ äÀº (D)ÀỐ Ï ´ Ù.

19. An empty oil tanker was filled with oil at a uniform rate in t hours. What proportion of

the tanker was filled during the first x hours if t x < ?

(A)t

x (B) xt (C)

xt x−

(D)t xt − (E)

x xt −

¼®À̄ ÅÊÅ©°¡ ÀÏÁ¤ÇÑ ¼Óµµ· Î t ½Ã°£ ¸ ¸ ¿¡ Ã¤¿ö Áú ¶§ Ã¹ x½Ã°£ µ¿¾È¿¡ Ã¤¿ì Áö́ Â ÅÊÅ©ÀÇ º ñÀ²

À» ±¸ÇÏ ¶ó´ Â ¹ ®Á¦ ÀỐ Ï ´ Ù.

ÅÊÅ©́ Â ÇÑ ½Ã°£´ ç ¾ó¸ ¶ ¸ ¸ Å½Ä Ã¤¿öÁú±î ¿ä.t

1 ¸ ¸ Å ¾¿ Ã¤¿öÁöÁÒ.±×· ¡ ¾ß¸ ¸ ÀÌ t½Ã°£ÀÌ Áö³ ª ¾ß

Áö ÀüÃ¼°¡ Ã¤¿öÁö°ÚÁÒ.



30/48



20. If a basketball team scores an average (arithmetic mean) of x points per game for n

games and then scores y points in its next game, what is the team’ s average score for the

1+n games?(A)

1++

n

ynx

(B)1+

+n

y x

(C)n

y x +

(D)1

)(

++

n

y xn

(E)1+

+n

ny x

N°ÔÀÓ¿¡ ¼ ´ ÂX points Æò±ÕµæÁ¡ ; N°ÔÀÓ ´ ÙÀ½ °æ±â µæÁ¡ Àº y. ¾Æ· ¡ °ø½ÄÀ» ÀÌ ¿ëÇÏ ¸ é:

< Average Problem > ±×·ì 1 N ÀÇaveragéÂ 1 A ÀÌ °í , 2 N ÀÇÆò±ÕÀº 2 A ÀÏ ¶§,

Combined Average =

21

2211

N N

A N A N

+⋅+⋅ , ℵ♣ℵ∩≠→ℑƒ÷ƒ↵⇒ℜ⊇ℵ∩°⊗↵ϒ×ℵ™∩∉÷


21. If a train travels at a speed of k meters per second, how many kilometers will it travel in t

minutes? (1 kilometer = 1,000 meters)

(A)000,1

60kt

(B)100

60kt

(C)

60

000,1 kt

(D) kt 000.6

(E) kt 000,60

Distance(°Å¸®) = Rate(¼Óµµ) × Time(½Ã° £)

ÃẾ ç k metersÀ» °¡ ´ Â ±âÂ÷°¡ t minutes ÈÄ ¸ î kilometersÀ» °¡ ´ ÂÁö¸ ¦ ±¸ ÇÏ ´ Â ¹ ®Á¦ ³ ×¿ä.

K metersÀ» 1,000À̧ · Î ³ ª ´ « ÈÄ ´ Ù½Ã 60À» ° öÇØÁÖ̧ é Á¤´ äÀ» ±¸ ÇÒ ¼ö ÀÖ³ ×¿ä.



31/48



22. Mason and Kathy, who both work in the evening wish to arrange for an evening off together.

Each evening that Mason is off is followed by 3 evenings that he is a work, and each evening

that Kathy is off is followed by 5 evenings that she is at work. If Mason will be off thisevening, and Kathy will be off tomorrow evening, how many evenings must pass before they

have an evening off together?

(A) 10 (B) 12 (C) 24 (D) 28

(E) So long as they continue this working pattern, they will never have the same evening off.

Mason Àº 4ÀÏ¿¡ ÇÑ ¹ ø, Kathy´ Â 5¿¡ ÇÑ ¹ ø¾¿ ½®́ Ù́ Â ÀÇ¹ Ì ÀỐ Ï ´ Ù. ÀÌ ¹ ®Á¦ ´ Â ½ÇÁ¦ · Î ±×̧ ² À»

±×· Á °¡ ¸ ç µûÁ®¾ß ÇÏ ´ Â ¹ ®Á¦ ÀỐ Ï ´ Ù. °¡ ² û ÀÌ · ¯ÇÑ ¹ ®Á¦ µµ ÃâÁ¦ µË́ Ï ´ Ù.


23. On a certain 10-question test, each question after the first question is worth 2 points more

than the previous question. If the greatest number of points that can be scored on the test is

100, how many points is the eighth question worth?

(A) 9 (B) 14 (C) 15 (D) 19 (E) 33

10¹ ®Á¦ · Î ÀÌ · ç¾î Áø test¿¡ ¼ °¢ ¹ ®Á¦ ¿¡ ´ëÇÑ Á¡ ¼ö´ Â 1¹ ø ¹ ®Á¦ ÀÌ ÈÄ· Î ´ Â ¾ÕÀÇ ¹ ®Á¦ º ¸ ´Ù 2Á¡

¾¿ ¿Ã¶ó °¡ ¸ ç ¹ ®Á¦ ¸ ¦ Ç®¾î ¼ ÃÖ°í · Î ¾òÀ» ¼ö ÀÖ́ Â Á¡ ¼ö°¡ 100Á¡ÀÏ ¶§ 8¹ ø ¹ ®Á¦ ÀÇ Á¡ ¼ö¸¦ ¹ °

¾î º ¸ ° í ÀÖ́ Ù.

10S(Ã³ À½ °ª ) + (2 + 4 + 6 + ⋅⋅⋅ + 18) = 100 ⇒ S = 1(ÃÊ±â° ª )¿¡ 2×7 = 14À» ´ õÇÏ ¸ é 15.


24. A certain car dealership sells only full-size and mid-size cars. One of its sales representatives

receives an annual salary of $15,000. He also receives a commission of $800 for each full-size

car he sells and $500 for each midsize car he sells. What is the least number of cars he must

sell in a year to receive total annual earnings of exactly $25,000?(A) 7 (B) 12 (C) 13 (D) 14 (E) 17

$ 15,000Àº ÆÇ̧ Å· ®°ú »ó°ü ¾øÀÌ ¹ Þ́ Â ¿¬ºÀÀÌ ±â ¶§¹ ®¿¡ ¿ì ¼± $25,000¿¡ ¼ »©¾î ÁÖ°í ³ ² °Ô µḈ Â

$10,000¸ ¸ Å À» commissionÀ̧ · Î ¹ ÞÀ̧ ¸ é µË́ Ï ´ Ù.

ÀÌ Á¦ ÀÚµ¿Â÷ ÆÇ̧ Å· ®À» °¡Àå ÀÛ°Ô ÇÏ· Á̧ é µÉ ¼ö· Ï ´ ë´ ç commissionÀÌ ³ ôÀº a full size carÀ» ¸ ¹

ÀÌ ÆÇ̧ ÅÇÏ ¸ é µÇ°ÚÁÒ. $ 800x + $ 500y = $10,000 À» ¸ ¸ Á· ÇÏ ´ Â °ª À» ±̧ ÇÏ ¸é X°¡ 12ÀÏ ¶§°¡

$9,600ÀÌ µÇ¹ Ç· Î Á¤´ äÀỐ Ï ´ Ù. .



32/48



25. A school supply store sells only one kind of desk and one kind of chair, at a uniform cost per

desk or per chair. If the total cost of 3 desks and 1 chair is twice that of 1 desk and 3 chairs

then the total cost of 4 desks and 1 chair is how many times that of 1 desk and 4 chairs?

(A) 5 (B) 3 (C)3

8 (D)

2

5

(E)

3

7

3Desk + Chair = 2(D+3C) ⇒ D = 5C

4D + C = x (D+4C) ⇒ ¿©±â¿¡ D = 5CÀ» ´ ëÀÔÇÏ ¸ é 21C = x ( 9C )⇒ x = 7/3


26. A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of

the calculators as demonstrators and sold each of the others for $5 more than the average

(arithmetic mean) cost of the x calculators. If the total revenue from the sale of the

calculators was $120 more than the cost of the shipment, how many calculators were in the

shipment?

(A) 24 (B) 25 (C) 26 (D) 28 (E) 30

Total revenue = $120 + the cost of shipment ⇒ Total Revenue − the cost of shipment = $120

$5( x − 2) – ($300/ x ) × 2 = $120 ⇒ x = 30

(300/ x ) × 2, x °³ Áß ±¸ ÀÔÀº ÇßÀ̧ ³ ª ÆÇ̧ ÅÇÏ Áö ¾Ê°í µ¥¸ð¿ëÀ̧ · Î »ç¿ëÇÑ °Í À» º ñ¿ëÀ̧ · Î Àâ¾Æ

ÁÖ¾î ¾ß ÇṌ Ï ´ Ù.


27. A manufacturer can save x dollars per unit in production costs by overproducing in certain

seasons. If storage costs for the excess are y dollars per unit per day )( y x > , which ofthe following expresses the maximum number of days that n excess units can be stored

before the storage costs exceed the savings on the excess units?

(A) y x − (B) n y x )( − (C) y

x (D)

y

xn (E)

yn

x

D¸ ¦ º ¸ °üÇÏ ´ Â ³ ¯ÀÌ ¶ó°í ÇÏ ¸ é,

ynDnx = ⇒ D = y

x



33/48



28. A certain disability plan pays monthly benefits of 60 percent of the first $2,000 of monthly

salary plus 40 percent of any portion in excess of $2,000 —the total monthly benefit not to

exceed $2,500. What is the smallest monthly salary that will yield the maximum monthlybenefit under this plan?

(A) $5,750 (B) $5,250 (C) $4,500 (D) $3,250 (E) $2,200

$2,000ÀÌ ÇÏ ÀÎ ±Þ¿©¿¡ ´ ëÇØ¼ ´ Â 60%°¡ Áö±ÞµÇ±â ¶§¹ ®¿¡ $2,500¿¡ ¼ $1,200À» Á¦ ¿ÜÇÑ $1,300À»

¹ Þ±â À§ÇÑ ÃÖ¼Ò±Þ¿©°¡ ¾ó¸ ¶ÀÎ Áö¸ ¦ °è»êÇÏ ¸ é µË́ Ï ´ Ù.

$ 1,300 ×(5/2)= $ 3,250

°á±¹ , $2,000 + $ 3,250 = $ 5,250

(ÇÔÁ¤) $3,250¿¡ $2,000À» ´ õÇÏ ¿© ÁÖ́ Â °Í À» ÀØÀ̧ ¸ é ¾ÈµË́ Ï ´ Ù.


29. One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the

defective switches are rejected and20

1 of the nondefective switches are rejected by mistake.

If all the switches not rejected are sold, what percent of the switches sold by the factory are

defective?

(A) 4% (B) 5% (C) 6.25% (D) 11% (E) 16%

ÀüÃ¼ »ý»ê· ®ÀÇ51

°¡ º Ò· ®Ç°ÀÌ ¸ ç , º Ò· ®Ç°ÀÇ54

°¡ Á¦ °Å µÇ¾î Áö³ ª º Ò·®Ç°ÀÌ ¾ǼÑ Á¦ Ç°ÀÇ201

ÀÌ ¶ÇÇÑ ½Ç¼ö· Î Á¦ °Å µÇ¾î Áø´ Ù°í ÇṌ Ï ´ Ù.ÀÌ · ² ¶§ ÆÇ̧ Å µÇ¾î Áö´ Â Á¦ Ç° Áß º Ò· ®Ç°ÀÇ º ñÀ² À»

±¸ÇÏ ¶ó´ Â ¹ ®Á¦ ÀỐ Ï ´ Ù.

• º Ò· ®Ç°ÀÌ ¸ ç Á¦ °ÅµÇ¾î Áö´ Â Á¦ Ç°ÀÇ º ñÀ² (defective and rejected) :

16.05

4

5

1 =× (16%), ÀüÃ¼ »ý»ê· ® Áß 20%(5

1)°¡ º Ò· ®Ç°ÀÌ ¶ó°í Çß±â ¶§¹®¿¡ 20% - 16% =4%

ÀÇ º Ò· ®Ç°ÀÌ Á¦ °ÅµÇÁö ¾Ê´Ấ Ù́ Â ÀÇ¹ Ì ÀỐ Ï ´ Ù.

• º Ò· ®Ç°ÀÌ ¾ǼÏ Áö¸ ¸ Á¦ °ÅµÇ¾î Áö´ Â Á¦ Ç°ÀÇ º ñÀ² (not defective and rejected) :

04.020

1

5

4=× , ÀüÃ¼ »ý»ê· ® Áß º Ò· ®Ç°ÀÌ ¾ǼÑ 4%ÀÇ Á¦ Ç°ÀÌ º Ò· ®Ç°À̧ · Î ¿ÀÀÎ µÇ¾î ÆÇ̧ ÅµÇ

Áö ¾Ê½À́ Ï ´ Ù. µÎ °á°ú¸ ¦ ÇÕÄ¡ ¸é ÀüÃ¼ »ý»ê· ® Áß º Ò· ®Ç° 16%, Á¤»óÁ¦ Ç° 4%° ¡ Á¦ °Å µÇ¾î

ÃÑ»ý»ê· ®ÀÇ 80%°¡ ÆÇ̧ ÅµÇ¾î Áö° í ÀÌ Áß º Ò· ®Ç° 4%°¡ ¼̄ ÀÌ ¾î µé¾î °©́ Ï ´ Ù.

Æ÷ÀÎ Æ®́ Â ÆȨ̀ ° ¹ °°Ç Áß¿¡ ¸ î percent °¡ defectiveÀÎ °¡ ¸ ¦ ¹ ¯´ Â ¹ ®Á¦ ÁÒ. °ø½ÄÀ» Á¤¸ ®ÇÏ ¸ é:

%5%4%)4%80(

)&%(4 =+−

= sold defectivewhole

part

ÿ Á¤´ äÀº (B)ÀỐ Ï ´ Ù.


34/48



30. In Company X , 30 percent of the employees live over ten miles from work and 60 percent of

the employees who live over ten miles from work are in car pools. If 40 percent of the

employees of Company X are in car pools, what percent of the employees of Company X live ten miles or less from work and are in car pools?

(A) 12% (B) 20% (C) 22% (D) 28% (E) 32%

10 miles ÀÌ»ó 10 miles ÀÌ ÇÏ Total

Car pool 30% × 60% 40 – 18 = 22% 40%

Not Car pool

30%

¹ ®Á¦ ´ Â 10milesÀÌ ÇÏ ÀÌ °í car poolÀ» ÇÏ ´ Â »ç¶÷ÀÇ percentÀ» ±¸ ÇÏ ´ Â °Í ÀỐ Ï ´ Ù. À§ÀÇ ±×¸ ² Âü°í !ÿ Á¤´ äÀº (C)

31. A garment order consists of jackets costing $36 each and shirts costing $26 each. If the total

cost of the order is $1,200, and if the average (arithmetic mean) cost per garment is $30, how

many more shirts than jackets are in the order?

(A) 32 (B) 22 (C) 18 (D) 13 (E) 8

jacketÀÇ °¡ °ÝÀº $36, shirtÀÇ °¡ °ÝÀº $26ÀÌ ¸ ç Æò±Õº ñ¿ëÀº $30ÀÌ ¶ó¸ é, jacketÀ» 2¹ ú ±¸ ÀÔÇÒ ¶§shirt¸ ¦ 3¹ ú ±¸ ÀÔÇß´ Ù́ Â °Í ÀÌ ´ Ù. ±×· ¡¾ß °¡ Áß Æò±ÕÀ» ±¸ ÇÒ ¶§ Æò±Õº ñ¿ëÀÌ $30ÀÌ µÇ¾î Áø´ Ù. ÀÌ

· ¯ÇÑ »ç½ÇÀ» ÀÌ ¿ëÇÏ ¿© ´ ÙÀ½°ú ° °ÀÌ ¹ ®Á¦ ¸ ¦ ÇØ°áÇÒ ¼ö ÀÖ́ Ù.

$36× N + $26×1.5N= $1,200 ⇒ N(jackets) = 16°³ , µû¶ó¼ shirts´ Â 16×1.5 =24° ³ ÀỐ Ï ´ Ù.

24°³ – 16°³ = 8°³


32. The front wheels of a toy truck are 4 inches in circumference. The back wheels are 7 inches

in circumference. If the truck travels in a straight line without slippage, how many inches

will the truck have traveled when the front wheels have made 12 more revolutions than the

back wheels?

(A) 112 (B) 64 (C) 48 (D) 36 (E) 28

¾Õ ¹ ÙÄûÀÇ ¿øÁÖ°¡ 4 inches, µÚ ¹ ÙÄûÀÇ ¿øÁÖ°¡ 7inches ÀÏ ¶§ ¾Õ ¹ ÙÄû°¡ µÚ ¹ ÙÄûº ¸ ´ Ù 12¹ ÙÄû

´ õ Ȩ̀ Àü ÇßÀ» ¶§ ¿òÁ÷ÀÎ °Å̧ ®̧ ¦ ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

ÀÌ ¹ ø ¹ ®Á¦ ´ Â ¸¶Ä¡ °ø¹ è¼ö¸¦ ±¸ÇØ ÁÖ́ Â ¹ ®Á¦ ¿Í °°Àº ³ í ¸ ®· Î ÇØ°áÇÏ ¸ é µË́ Ï ´ Ù. µÎ ¹ ÙÄûÀÇ ¿ø

ÁÖ°¡ ¼·Î ´ Ù̧ £Áö¸ ¸ ¿òÁ÷ÀÎ °Å̧ ®́ Â °°°Ô µË́ Ï ´ Ù. ¿òÁ÷ÀÎ °Å̧ ®°¡ ÀÏ Ä¡ ÇÏ · Á̧ é µÚ ¹ ÙÄû°¡ 4¹ Ù

Äû (28inches) µ¹ ¶§ ¾Õ ¹ ÙÄû´ Â 7¹ ÙÄû(28inches) µ¹ ¾Æ¾ß ÇṌ Ï ´ Ù. °á±¹ 3¹ ÙÄû¸ ¦ ´ õ µ¹ ¾Æ¾ß µË́ Ï


35/48



´ Ù. ÀÌ · ¯ÇÑ °á° ú· Î 28 inches¾¿ ° ¥ ¶§ ¾Õ ¹ ÙÄû´ Â µÚ ¹ ÙÄû º ¸ ´ Ù 3 ¹ ÙÄû¸ ¦ ´ õ µ¹ ¾Æ¾ß ÇÑ́ Ù́ Â

»ç½ÇÀ» ¾Ë¾Ò½À́ Ï ´ Ù. ¹ ®Á¦ ´Â ¾Õ ¹ ÙÄû°¡ 12 ¹ ÙÄû¸ ¦ ´ õ µ¹ ¸ é, Áï 3 revolution : 28 inches = 12

revolution : X ÀÌ ½ÄÀ» Á¤¸ ®ÇÏ ¸ é X = 112 ÀỐ Ï ´ Ù.ÿ Á¤´ äÀº (A)ÀỐ Ï ´ Ù.

33. A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female

members, the average number sold was 84, and among the male members, the average number

sold was 96. What was the ratio of the number of male members to the number of female

members in the club?

(A) 1 : 1 (B) 1 : 2 (C) 1 : 3 (D) 2 : 1 (E) 3 : 1

ÀüÃ¼ Æò±ÕÀ̧ · Î Ȩ̀ ¿ø 1¸ í ÀÌ 92°³ ÀÇ ticketÀ» ÆÈ¾Ò°í , Ȩ̀ ¿ø Áß ³ ² ¼º Àº 96Àå ¿©¼º Àº 84Àå ÆÈ¾Ò́ Ù

¸ é ³ ² ¼º Àº 1¸ í ´ ç Æò±Õº ¸ ´ Ù 4Àå¾¿ ´ õ ÆÈ¾Ò°í ¿©¼º Àº 8¾¿À» ´ ú ÆÈ¾Ò́ Ù. ÀÌ · ¯ÇÑ »óÈ² ¿¡ ¼ Æò±Õ

À» ¸ ÂÃß¾î ÁÖ±â À§ÇØ¼ ´ Â ¿©¼º 1¸ í ´ ç ³ ² ¼º 2¸ í ÀÌ ticketÀ» ÆÈ¾Æ¾ß Æò±Õ°ú ÀÏ Ä¡ ÇÏ °Ô µË́ Ï ´ Ù.


34. A team won 40 percent of the 15 games it has already played. If the team were to win 75

percent of its remaining games, it will have won 60 percent of all its games. How many

remaining games are there?

(A) 12 (B) 20 (C) 24 (D) 30 (E) 45

ÀÌ ¹ Ì 15 °æ±â Áß¿¡ ¼6°æ±â¸ ¦ ½Â̧ ®ÇÏ ¿© 40%ÀÇ ½Â· üÀ» ±â· Ï ÇÏ °í ÀÖÀ̧ ¸ç , ³ ª ¸ ÓÁö °æ±â¿¡ ¼

75%ÀÇ ½Â· üÀ» ±â· Ï ÇÒ ¶§ ÀüÃ¼ °æ±âÀÇ ½Â· üÀÌ 60%°¡ µÈ́ Ù°í ÇṌ Ï ´ Ù. 40%ÀÇ ½Â· üÀ» ±â· Ï ÇÏ °í

ÀÖ́ Â 15° æ±â¿¡ ¼ ½Â· üÀÌ Æò±ÕÀÎ 60%°¡ µÇ±â À§ÇØ¼ ´ Â 3°æ±â¸ ¦ ´ õ ÀÌ °å¾î ¾ß µË́ Ï ´ Ù. °á±¹

15° æ±â ÀÌ ¿ÜÀÇ °æ±â¿¡ ¼( n ) ½Â· üÀÌ 75%°¡ µÇ̧ é ÀÌ ´ Â ÃÑ°æ±â¿¡ ´ ëÇÑ Æò±Õ ½Â· ü 60%º ¸ ´ Ù15%¸¸ Å »óȨ̀ ÇÏ °í ÀÖ́ Â °Í ÀÌ ¸ ç 15%´ Â 3°æ±â¿¡ ¼ ÀÇ ½Â̧ ®̧ ¦ ÀÇ¹ Ì ÇÏ ´ Â °Í ÀÌ ´ Ù.

3100

15 =×n (°æ±â) e n = 20

ÇØ¼³ 2 ¶Ç ´ Ù̧ ¥ ¹ æ¹ ýÀº nÀ» ³ ² Àº °æ±â¼ö¶ó ° ¡ Á¤ÇÏ °í ´ ÙÀ½°ú °°ÀÌ ½ÄÀ» ¸ ¸ µé ¼ö ÀÖÁÒ:

6 games + 0.75( n ) = (15 + n )0.6 , ÀÌ ½ÄÀ» Á¤¸ ®ÇÏ ¸ é n = 20

ÿ Á¤´ äÀº (B)ÀỐ Ï ´ Ù.


36/48



35. In a quality control process it has been determined that all of the engines that fail inspection

are faulty, but approximately

6

1 of the faulty engines pass inspection. If, in a group of 1,000

engines, 100 fail inspection, approximately how many faulty engines pass inspection?

(A) 16 (B) 20 (C) 50 (D) 70 (E) 120

º Ò· ® ¿£ÁøÀÇ 5/6ÀÌ °Ë»ç¸ ¦ Åë° úÇÏ Áö ¸ øÇßÀ̧ ¸ ç ±× °³ ¼ö´ Â 100° ³ ÀÌ ´ Ù.

º Ò· ®¿£Áø°³ ¼ö°¡ F°³ ¶ó¸ é,

F × (5/6) = 100 , ÀüÃ¼ º Ò· ® ¿£Áø °³ ¼ö´ Â 120°³ ÀÌ ´ Ù.


36. If an organization were to sell n tickets for a theater production, the total revenue from

ticket sales would be 20 percent greater than the total costs of the production. If the

organization actually sold all but 5 percent of the n tickets, the total revenue from ticket

sales was what percent greater than the total costs of the production?

(A) 4% (B) 10% (C) 14% (D) 15% (E) 18%

ticketÀÇ °¡ °ÝÀ» P , cost¸ ¦ C¶ó°í ÇÏ ¸ é,

P× N = 1.2C, ±×· ¯³ ª ticketÀÌ 95%¸ ¸ ÆÇ̧ Å µÇ¾ú±â ¶§¹ ®¿¡ ´ ÙÀ½°ú °°´ Ù.

0.95×(N×P) = 0.95×1.2C = 1.14C


37. Jeff drove to work from his home averaging 40 miles per hour, and was 12 minutes late. The

next day he left home for work at the same time, took the same route, averaging 48 miles per

hour, and was 7 minutes late. How far in miles is it from Jeff’ s home to his work?

(A) 20.0 (B) 24.5 (C) 30.0 (D) 37.5 (E) 40.0

¼Óµµ́ Â 40miles ¿¡ ¼ 48miles · Î º ¯È ÇÏ ¿© 20% Áõ°¡ ÇÏ ¿´ À̧ ¸ ç , ½Ã°£Àº 5º ÐÀÌ ´ ÜÃàµÇ¾ú½À́ Ï ´ Ù.

Ãâ±Ù°Å̧ ®̧ ¦ D ¶ó° í ÇÏ ¸ é ´ ÙÀ½ÀÇ ½ÄÀÌ ¼º ¸ ³ ÇṌ Ï ´ Ù.

D = (¼Óµµ) × (ÁÖÇà½Ã°£),

Ãâ±Ù°Å̧ ®́ Â º¯ÈÇÏ Áö ¾Ê°í ¼Óµµ¿Í ½Ã°£¸ ̧ º ¯ÈÇÑ °Í ÀÌ ±â ¶§¹ ®¿¡ ¶ÇÇÑ ´ ÙÀ½ÀÇ ½ÄÀÌ ¼º ¸ ³ ÇṌ Ï

´ Ù. xH S H S D ×=×= 2.1

À§ÀÇ ½ÄÀÌ ¼º ¸ ³ ÇÏ ±â À§ÇØ¼ ´ Â 48miles· Î ´ Þ¸ ± ¶§ ¼Ò¿äµḈ Â ½Ã°£Àº H

6

5°¡ µÇ¾î ¾ß ÇÏ°í , ÀÌ


37/48



· Î½á ¹ ß»ýÇÏ ´ Â ½Ã°£ÀÇ Â÷ÀÌ H 6

1´ Â40miles· Î Ãâ±ÙÇßÀ» ¶§¿Í 48miles· Î Ãâ±ÙÇßÀ» ¶§ ¹ ß»ýÇÏ

´ Â ½Ã°£ÀÇ Â÷ÀÌ 5º ÐÀÌ µḈ Â °Í ÀỐ Ï ´ Ù. °á±¹ 40 mileÀÇ ¼Óµµ· Î 30º Ð°£ ÃÑ20mileÀÇ °Å̧ ®̧ ¦´ Þ¸ ° °Í ÀỐ Ï ´ Ù.

ÇØ¼³ 2 µµÂøÇÏ °í ½Í Àº ½Ã°£À» T¶ó °¡ Á¤ÇÏ °í 12º Ð°ú 7º Ð ´ Ê¾ú´ Ù́ Â °Í Àº T¿¡ ´ õÇØÁÖ́ Â ½ÄÀ̧

· Î À̄ µµÇÏ ¸ é: 40 miles(T + 12 minutes) = 48miles(T+7minutes)

ÀÌ ½ÄÀ» Á¤¸ ®ÇÏ ¸ é T= 18 minutesÀ» ±¸ ÇÒ ¼ö ÀÖ³ ×¿ä . ¾Æ¹ « °÷¿¡ T¸ ¦ ´ ëÀÔÇØ¼ Ç®̧ é °Å̧ ®̧ ¦ ±¸

ÇÒ ¼ö ÀÖÁÒ. ´ Ü ¿©±â¼ ´ Â ´ ÜÀ§´ Â hours ÀÌ ¹ Ç· Î minutesÀ» hours· Î ¹ Ù² ã¾ß°Ú³ ×¿ä!!!

ÿ Á¤´ äÀº (A)ÀỐ Ï ´ Ù.

38. If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per

hour faster, he would have covered 70 more miles than he actually did. How many more

miles would he have covered than he actually did if he had driven 2 hours longer and at an

average rate of 10 miles per hour faster on that day?

(A) 100 (B) 120 (C) 140 (D) 150 (E) 160

Æò±Õ5 miles ´ õ »¡ ¸ ® ±×̧ ®°í ÁÖÇà ½Ã°£À» ÇÑ ½Ã°£ Áõ°¡ ÇÏ ¸ é 70miles¸ ¦ ´ õ °¡ °Ô µÈ́ Ù°í ÇṌ Ï

´ Ù. ½ÇÁ¦ · Î ¿î ÇàÇÑ ½Ã°£À» h , ½ÇÁ¦ ¼Óµµ¸ ¦ s ¶ó ÇÏ ¸ é ´ ÙÀ½ ½ÄÀÌ ¼º ¸ ³ ÇṌ Ï ´ Ù: h × s = D¶ó

°¡ Á¤ÇÏ ¸ é ] ( ) ( ) 7015 +=××+ Dh s (miles) h × s = D ÀÌ ¹ Ç· Î ÀÌ ½ÄÀ» Á¤¸ ®ÇÏ ¸ éS + 5 h = 65À» ±¸ ÇÒ ¼ö ÀÖ́ Ù. ±× ´ ÙÀ½Àº 10miles ´ õ »¡ ¸ ® ±×¸®°í 2½Ã°£ ´ õ ÁÖÇàÇÑ́ Ù̧ é,

( ) X Dh s +=××+ )2(10 , ¿©±â¼ ±¸ ÇÒ °ª Àº XÀÌ °í ,jh × s = D ÀÌ °í ,k S + 5 h = 65j úkÀ ÀÌ ¿ëÇØ À§ÀÇ ½ÄÀ» Á¤¸ ®ÇÏ ¸ é X °ª À» ±¸ ÇÒ ¼ö ÀÖ½À́ Ï ´ Ù.

ÿ Á¤´ äÀº (D)ÀỐ Ï ´ Ù.

39. When a certain stretch of highway was rebuilt and straightened, the distance along the stretchwas decreased by 20 percent and the speed limit was increased by 25 percent. By what

percent was the driving time along this stretch reduced for a person who always drives at the

speed limit?

(A) 16% (B) 36% (C)2

137 % (D) 45% (E)

4

156 %

°Å̧ ®(distance) = ¼Óµµ(speed) × ½Ã°£(time), ½Ã°£ = °Å̧ ®/ ¼Óµµ = 0.8°Å̧ ®/ 5/4 ¼Óµµ



38/48



40. Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water

evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the

remaining 6 kilograms of liquid, what percent of this new solution is liquid X ?(A) 30% (B)

3

133 % (C)

2

137 % (D) 40% (E) 50%

¿ø· ¡ ¿ë¾× Y ÀÇ ±̧ ¼º : liquid 30%, water 70% ±¸ ¼º µÊ

](1) 8 kilogramsÀÇ Y ¿ë¾×¿¡ ¼ ¹ °¸ ¸ Kg 2 Áõ¹ ßµÈ ÈÄ ¿ë¾×Y :

Liquid X ÀÇ Áú·® : )(4.23.0)(8 Kg Kg =× (º ¯ÇÏÁö ¾ÊÀ½)¹ °ÀÇ Áú· ® : Kg Kg kg Kg 6.32%)708(6.5 =−×= (2 Kg Áõ¹ ß)

](2) Ã· º Î ÇÒ Kg 2 solution Y ÀÇ ±¸ ¼º

Liquid X ÀÇ Áú· ® : )(6.03.0)(2 Kg Kg =× ¹ °ÀÇ Áú· ® : )(4.17.0)(2 Kg Kg =× ](3) ³ ² ¾ÆÀÖ́ Â 6 kilograms (8kilograms¿¡¼ ¹ °ÀÌ 2 kilogramsÁõ¹ß)ÀÇ ¿ë¾× Y¿¡ »õ· Î ¿î 2

kilograms Y¸ ¦ È¥ÇÕÇÑ ÈÄ(8 kilograms)

Liquid X ÀÇ Áú· ® : )(0.3)(6.0)(4.2 Kg Kg Kg =+ ¹ °ÀÇ Áú· ® : )(0.5)(4.1)(6.3 Kg Kg Kg =+

Liquid XÀÇ percent =2

75100

0.8

0.3 =×

ÿ Á¤´ äÀº (C)ÀỐ Ï ´ Ù.

41. How many gallons of water must be mixed with 1 gallon of a 15-percent salt solution to obtain

a 10-percent salt solution?

(A) 0.50 (B) 0.67 (C) 1.00 (D) 1.50 (E) 2.00

ÇöÀç ¿ë¾× : 1 gallon, ±× Áß¿¡ ¼Ò±ÝÀº 0.15 gallon

Èñ¸ Á ¿ë¾× : ¼Ò±Ý 10%À» ¸ ¸ µé· Á̧ é 0.15 gallonÀÌ ÀüÃ¼ ¿ë¾× 1.5gallonÀÇ 10%¸ ¦ Â÷ÁöÇÏ ¸ é µÇ¹ Ç

· Î ÇÊ¿äÇÑ ¿ë¾×Àº 0.50ÀÌ µÈ́ Ù.



39/48



42. The seating chart of an airplane shown 30 rows of seats. Each row has 3 seats on each side of

the center aisle, and one of the seats on each side is a window seat. The view from the window

seats in 5 of the rows is obscured by the wings of the airplane. If the first person to beassigned a seat is assigned a window seat and the window seat is assigned randomly, what is the

probability that the person will get a seat with an unobscured view?

(A)6

1 (B)

3

1 (C)

3

2 (D)

6

5 (E)

18

17

ÃÑ ÁÂ¼® ¼ö : 180°³ ( ÇÑ ÁÙ¿¡ 6 ÁÂ¼®¾¿ 30 ÁÙ )

º ñÇà±â ³ ¯°³ ¿¡ ÀÇÇØ °æÄ¡ °¡ º ¸ ÀÌ Áö ¾Ế Â ÁÂ¼® ¼ö : 30 ÁÂ¼®

°æÄ¡ °¡ º ¸ ÀÌ ´ Â ÁÂ¼®¿¡ ¾É°Ô µÉ È®· ü : 150 / 180


43. One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot

Monday morning. If 50 percent of the trucks that were rented out during the week were

returned to the lot on or before Saturday morning of that week, and if there were at least 12

trucks on the lot that Saturday morning, what is the greatest number of different trucks that

could have been rented out during the week?

(A) 18 (B) 16 (C) 12 (D) 8 (E) 4

ÃÑ 20´ ëÀÇ truckÀÌ ¿ù¿äÀÏ ¿¡ ÀÚµ¿Â÷ rentalȨ̀ »çÀÇ ÁÖÂ÷Àå¿¡ ÀÖ°í º ô· Á ÁØ Â÷ÀÇ 50%°¡ Åä¿äÀÏ

¾ÆÄ§ Àü±î Áö È¸ ¼öµÇ¾î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÖ¼Ò 12´ ëÀÇ truckÀÌ ÀÖÀ» ¶§ ÁÖÁß¿¡ ´ ë¿© µÇ¾ú´ ø Â÷

ÀÇ ¼ö¸ ¦ ¹ ¯° í ÀÖ́ Â ¹ ®Á¦ ÀỐ Ï ´ Ù.

Åä¿äÀÏ ¾ÆÄ§ Àü±î Áö ´ ë¿© µÇ¾ú´ ø Â÷ÀÇ 50%°¡ Ȩ̀ ¼öµḈ Â °Í ÀÌ ¹ Ç· Î º ô· ÁÁØ ÀÚµ¿Â÷ÀÇ ´ ë¼ö´Â

¿ì ¼± Â¦ ¼öÀÌ ¾î ¾ß ÇṌ Ï ´ Ù.¸ ¸ ¾à 18´ ë°¡ ÁÖÁß¿¡ ´ ë¿© µÇ¾ú´ Ù̧ é Åä¿äÀÏ ¾ÆÄ§±î Áö 9´ ë°¡ ¹ Ý³ ³ µÇ¾î Áú °Í ÀÌ °í ´ ë¿©µÇÁö ¾Ê

°í ÁÖÂ÷Àå¿¡ ÀÖ́ ø Â÷ 2´ ë¿Í ÇÔ² ² 11´ ëÀÇ Â÷°¡ Åä¿äÀÏ ¾ÆÄ§¿¡ ÀÖ¾î ¾ß ÇṌ Ï ´ Ù. ±×· ¯¹ Ç· Î 18Àº

´ äÀÌ ¾ǼṌ Ï ´ Ù. 16´ ë°¡ ´ ë¿© µÇ¾ú´ Ù̧ é 8° ³ °¡ ¹ Ý³ ³ µÇ¾î Áö°í ÁÖÂ÷Àå¿¡ 4´ ëÀÇ Â÷°¡ ÀÖ¾úÀ» °ÍÀÌ

¹ Ç· Î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÑ12´ ëÀÇ Â÷°¡ ÁÖÂ÷Àå¿¡ ÀÖ°Ô µË́ Ï ´ Ù.



40/48



44. A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of

gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the

highway, how many miles per gallon did the car travel in the city?(A) 14 (B) 16 (C) 21 (D) 22 (E) 27

°í ¼Óµµ· Î ¿¡ ¼ per gallon ´ ç °¡ ´ Â °Å̧ ®̧ ¦ x ¶ó ÇÏ ¸ é:6

336462

−=

x x ⇒ x = 22

µû¶ó¼ ½Ã³ »¿¡ ¼ ÀÇ per gallon´ ç °¡ ´ Â °Å̧ ®́ Â 22 − 6 = 16


45. On a 20-mile course Pat bicycled at an average rate of 30 miles per hour for the first 12

minutes and, without a break, ran the rest of the distance at an average rate of 8 miles per hour.

How many minutes did Pat take to cover the entire course?

(A) 75 (B) 105 (C) 117 (D) 150 (E) 162

20mileÀÇ °Å̧ ®̧ ¦ Ã³ À½ 12º Ð°£Àº 30mile· Î , ³ ª ¸ ÓÁö ° Å̧ ®́ Â 8mileÀÇ ¼Óµµ· Î ´ Þ·ÈÀ» ¶§ 20mileÀ»

¿Ï ÁÖ ÇÏ ´ Âµ¥ ¼Ò¿äµÈ ½Ã°£À» ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

12º ÐÀº 1/5½Ã°£ÀỐ Ï ´ Ù. 30mileÀÇ ¼Óµµ· Î 12º Ð°£ 6mileÀ» ´ Þ¸° °ÍÀÌ °í ³ ª ¸ ÓÁö °Å̧ ® 14mileÀº

8mileÀÇ ¼Óµµ· Î ´ Þ¸ ° °Í ÀỐ Ï ´ Ù. 14mileÀÇ °Å̧ ®̧ ¦ ¼Óµµ8mile· Î ³ ª ´ ©¾î ÁÖ̧ é ¼Ò¿äµÈ ½Ã°£ÀÌ

1(3/4)° ¡ ³ ª ¿É´ Ï ´ Ù. 12º Ð°ú 1(3/4)½Ã°£ °ð 105º ÐÀ» ´ õÇÏ ¿© ÁÖ̧ é 117º ÐÀÌ ´ äÀÌ µË́ Ï ´ Ù.


46. An investor bought n shares of Company X stock at $75 per share. She sold 60 percent

of the shares for $120 per share and the rest at a later date for $70 per share. If her gross

profit on the sale of the n shares of stock was $7,500, how many shares did she buy?(A) 375 (B) 300 (C) 100 (D) 95 (E) 75

Company X È¸ »çÀÇ ÁÖ½ÄÀ» ÁÖ́ ç $75¿¡ nÁÖ ¸ Å¼öÇÏ ¿© 60%´ Â $120¿¡ ³ ª ¸ÓÁö´Â $70¿¡ ¸ ÅµµÇÏ

¿´ À» ¶§ ¼öÀÍ ÀÌ $7,500ÀÌ ¿´ À» ¶§ ±¸ ÀÔÇÑ ÁÖ½ÄÀÇ ¼ö¸ ¦ ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´Ù. ¿¬̧ ³ ½ÄÀ» ±¸ÇÏ ¿©

¹ ®Á¦ ¸ ¦ Ç® ¼ö ÀÖ½À́ Ï ´ Ù.

$45× (3/5)n + $5(2/5) =$7,500



41/48



47. In 1982 a certain company had losses of $10,000 per month. In the first three months of 1983,

this company had gains of $4,000 per month. On the average, what would the company need

to gain per month in the remainder of 1983 in order to break even over this two-year period?(A) $9,000 (B) $10,800 (C) $12,000 (D) $13,500 (E) $18,000

1982³ â¿ ¡ ¸ Å ´ Þ $10,000ÀÇ ¼Õ½ÇÀÌ ¹ ß»ýÇß°í 1983³ â 1/4º Ð±â µ¿¾È¿¡ ¸ Ǻ Þ $4,000¾¿ ¼öÀÍ ÀÌ ¹ ß

»ý ÇßÀ» ¶§ ’82,’83³ â µÎ ÇØ µ¿¾È¿¡ break evenÇÏ ±â À§ÇÏ ¿© ’ 83³ â ³ ª ¸ ÓÁö ±â°£ µ¿¾È¿¡ ¾ó¸¶¸ ¸

Å ÀÇ ¼öÀÍ ÀÌ ¹ ß»ýÇØ¾ß ÇÏ ´ ÂÁö¸ ¦ ¹ °¾î º ¸ ° í ÀÖ́ Ù.

’82³ âµµ ÃÑ¼Õ½ÇÀº $ 120,000ÀÌ °í ’ 83³ âµµ 1/4º Ð±â ÃÑ¼öÀÍ $12,000ÀÌ ¹ Ç· Î break even ÇÏ ±â À§

ÇØ¼ ´ Â ³ ª ¸ ÓÁö ±â° £ µ¿¾È¿¡ ¸ Ǻ Þ $108,000/8(´ Þ) ¸ ¸ Å ÀÇ ¼öÀÍ À» ¿À· Á¾ß ÇÑ́ Ù.


48. An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and

$0.60 in royalties for each additional copy sold. If she received a total of $260,000 in royalties,

how many copies of her book were sold?

(A) 130,000 (B) 300,000 (C) 380,000 (D) 400,000 (E) 420,000

{ $260,000 – ( $0.8×100,000) } / 0.6 = 30,000 , 3 ¸ ¸ ±ÇÀÇ Ã¥Àº 10,000±ÇÀÌ ÆȨ̀ ° ÈÄ Ãß°¡ · Î ÆȨ̀ ° Ã¥

ÀÓÀ» ÁÖÀÇ


49. For each hour worked in excess of 40 hours per week, a mechanic is paid2

11 times her

regular rate of $12 per hour. Her gross pay for a week in which she works 52 hours is equal

to her pay at the regular rate for how many hours?

(A) 58 (B) 64 (C) 66 (D) 70 (E) 78

40½Ã°£À» ÃÊ°úÇÏ ´ Â ±Ù¹ «½Ã°£¿¡ ´ ëÇØ¼ ´ Â ½Ã°£´ ç $12ÀÇ ±Þ· á¿¡ 1(1/2)¹ è¸ ¦ Áöº ÒÇÒ ¶§, 52½Ã°£

À» ±Ù¹ «ÇÏ ¿´ À» ¶§ ¹ Þ´ Â ±Þ·á´ Â ÃÊ°ú½Ã°£±Ù¹ «¸ ¦ ÇÏ Áö ¾Ê°í ¸ î ½Ã°£À» ÀÏ ÇÒ ¶§ ¹ Þ´Â ±Þ· á¿Í°°Àº Áö¸ ¦ ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

ÃÊ°ú±Ù¹ «¿¡ ´ ëÇÏ ¿©́ Â 1(1/2)¹ èÀÇ ±Þ· á¸ ¦ ¹ Þ°í ÀÖ±â ¶§¹ ®¿¡ Á¤»ó±Ù¹ «ÀÇ 2/3½Ã°£¸ ¸ À» ÀÏ ÇÏ °í µµ

Á¤»ó±Ù¹ «½Ã°£¿¡ ¹ Þ´ Â ±Þ· á¸ ¦ ¹ ÞÀ» ¼ö ÀÖ½À́ Ï ´ Ù. ±×· ¯¹ Ç· Î ÃÊ°ú½Ã°£ ±Ù¹ « 1½Ã°£Àº Á¤»ó±Ù¹ «

½Ã°£ÀÇ 3/2¹ èÀÎ °Í ÀỐ Ï ´ Ù.

¹ ®Á¦ ¿¡ ¼ 12½Ã°£À» ÃÊ°ú±Ù¹ « ÇÏ ¿´ ±â ¶§¹ ®¿¡ ÀÌ ¸ ¦ Á¤»ó±Ù¹ «½Ã°£À̧ · Î È̄ »êÇÏ ¸ é 18½Ã°£ÀÌ µË́ Ï

´ Ù. ÀÌ ¹ ®Á¦ ÀÇ ÇÙ½ÉÀº ½Ã°£´ ç ±Þ· á $12¸ ¦ °è»ê½Ä¿¡ ¿¬°ü ½ÃÅ°Áö ¾Ê°í ¹ ®Á¦ ¸ ¦ Ç®¾î ½Ã°£À»

´ ÜÃà ÇÏ ´ Â °Í ÀỐ Ï ´ Ù.



42/48



50. Fifty percent of the subscribers to newspaper X are corporate managers and of these, 30

percent are in the financial field. If 40 percent of the subscribers who are corporate

managers in the financial field are money managers, how many of the newspaper’ s 25,000subscribers are corporate money managers in the financial field?

(A) 1,500 (B) 3,000 (C) 3,750 (D) 7,500 (E) 8,750

50% ±¸µ¶ÀÚ°¡ corporate managerÀÌ ¸ ç, ÀÌµé Áß 30%°¡ finance º Ð¾ß¿¡ ¼ ÀÏ ÇÑ́ Ù°í ÇÑ́ Ù. finance

º Ð¾ß¿¡ ¼ ÀÏ ÇÏ ´ Â corporate managerÁß 40%°¡ money managerÀÏ °æ¿ì , 25,000¸ í ÀÇ ±̧ µ¶ÀÚ Áß

finance º Ð¾ß¿¡ ¼ ÀÏ ÇÏ ´ Âcorporate money manager´Â ¸ î ¸ í ÀÎ °¡ ¸ ¦ ¹ °¾î º ¸ °í ÀÖ́ Ù.

Finance º Ð¾ß¿¡ ¼ ÀÏ ÇÏ ´ ÂCorporate manager ÀÇ º ñÀ² : 50% × 30 %

finance º Ð¾ß¿¡ ¼ ÀÏ ÇÏ ´ Âcorporate money manager ÀÇ ºñÀ² : 50% × 30 %× 40%

µû¶ó¼ 25,000× 50% × 30 %× 40% = 1,500


51. Reggie had to type 90 letters. During the first day he typed3

1 of the letters, and during the

second day he typed5

2 of the remaining letters. How many letters were still untyped at the

end of the second day?

(A) 36 (B) 32 (C) 24 (D) 18 (E) 12

Ã¹ ¹ øÂ° ³ ¯ : (1/3) × 90

µÎ ¹ øÂ° ³ ¯ : 60 × (2/5)

¸ ¶Áö¸ · ³ ¯ : 90 – (30+24) = 36


52. One karat signifies that241 of an alloy is pure gold. If a certain ring is 14-karat gold,

approximately what percent of the alloy composing the ring is not gold?

(A) 14% (B) 24% (C) 42% (D) 55% (E) 58%

one-karatÀº È¥ÇÕ¹ °ÀÇ 1/24°¡ ¼ø±ÝÀÓÀ» ÀÇ¹ Ì

14-karat goldÀº È¥ÇÕ¹ °ÀÇ 14/24° ¡ ¼ø±Ý.



43/48



53. At a certain pizzeria,8

1 of the pizzas sold in one week were mushroom and

3

1 of the

remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how manywere mushroom?

(A) n8

3 (B) n

7

3 (C) n

16

7 (D) n

8

7 (E) n3

ÆÇ̧ ÅµÈ ÇÇÀÚÀÇ ÃÑ· ®À» P¶ó ÇÏ ¸ é,

Mushroom: 1/8P

Pepperoni: 7/8P × 1/3 = 7/24P = n

1/8P = 7/24P × 3/7 = 3/7n


54. Beth received10

3 of the votes cast in a certain election. What fraction of the other votes

cast would she have needed in order to have received2

1 of the votes cast?

(A)5

1 (B)

7

2 (C)

10

3 (D)

20

7 (E)

21

¼±°ÅÀÇ °á°ú° ¡ 1/2°¡ µÇ±â À§ÇØ¼ ´ Â 2/10ÀÇ Ç¥°¡ ´ õ ÇÊ¿äÇṌ Ï ´ Ù.

(7/10) × X = 2/10


55. From January 1, 1980, to January 1, 1984, the number of employees of Company X

declined by 700 per year. If the number of employees on January 1, 1984, was 80 percent of

the number on January 1, 1980, how many employees di d the company have on January 1,

1984?(A) 2,800 (B) 3,500 (C) 11,200 (D) 16,800 (E) 17,500

80³ âµµº Î ÅÍ 84³ â±î Áö ¸ Å³ â 700¸ í ¾¿ ±Ù· Î ÀÚ°¡ °¨ ¼ÒÇÏ ´ Â »óÈ² ÇÏ ¿¡ ¼ 84³ âµµ ±Ù· Î ÀÚÀÇ ¼ö°¡

80³ âµµÀÇ 80%ÀÏ ¶§ 84³ âµµ ±Ù· Î ÀÚÀÇ ¼ö¸ ¦ ±¸ÇÏ ¶ó´ Â ¹ ®Á¦ ÀỐ Ï ´ Ù.

80³ â¿¡ ¼ 84³ â±î Áö ¸ Å³ â 700¸ í ¾¿ ±Ù· Î ÀÚ°¡ °¨ ¼Ò Çß±â ¶§¹ ®¿¡ ÃÑ 2,800̧ í ÀÇ ±Ù· Î ÀÚ°¡ °¨ ¼Ò

Çß´ Ù́ Â »ç½ÇÀ» ¾Ë ¼ö ÀÖ½À́ Ï ´ Ù. ¶ÇÇÑ 84³ âµµÀÇ ÃÑ±Ù· Î ÀÚ°¡ 80³ âµµ ±Ù· Î ÀÚÀÇ 80%¶ó°í Çß±â

¶§¹ ®¿¡ °¨ ¼ÒÇÑ ±Ù· Î ÀÚ 2,800¸í Àº 80³ âµµ¿¡ °í ¿ëµÇ¾î ÀÖ́ ø ±Ù·ÎÀÚÀÇ 20%ÀÓÀ» ¾Ë ¼ö ÀÖ½À́ Ï

´ Ù : 80³ â ÀüÃ¼ ±Ù· Î ÀÚ ¼öe

4³ â ÈÄe

(80³ â ±Ù· Î ÀÚ ¼ö) × 0.8(=80%), Áï 4³ â µ¿¾È ±ÙÀÚÀÚ ¼ö


44/48



ÀÇ 20% °¡ ÁÙ¾î ´ Ù́ Â ÀÇ¹ Ì ³ ×¿ä.

°á±¹ 80³ âµµ¿¡ ° í ¿ëµÇ¾î ÀÖ́ ø ±Ù· Î ÀÚ ¼ö( x )´ Â ½Ä̈ ç° ú °°ÀÌ ±¸ÇÒ ¼ö ÀÖÀ̧ ¸ ç,

¨ ç 800,22.0 =× x ⇒ X = 14,000¸í84³ âµµ¿¡ ° í ¿ëµÇ¾î ÀÖ́ Â ±Ù· Î ÀÚÀÇ ¼ö´ Â ½Ä̈ è¿Í °°ÀÌ ±¸ÇÒ ¼ö ÀÖ½À́ Ï ´ Ù.

¨ è 200,11%)80(8.0000,14 =× ÿ Á¤´ äÀº (C)ÀỐ Ï ´ Ù.

56. Both marble tiles and terra-cotta tiles are available in squares with 12-centimeter sides, but

marble tiles cost x cents more per tile than terra-cotta tiles. How much more would it cost,

in cents, to tile a rectangular floor 240 centimeters by 120 centimeters with marble tiles than

with terra-cotta tiles?

(A) x200 (B) x360 (C) x720 (D) x400,2 (E) x144800,28 −

(240 cm × 120 cm) / (12×12) = 200

Á÷»ç°¢ÇüÀÇ ¸ ¶· ç¸ ¦ Àå½ÄÇÏ ´ Âµ¥ 200°³ ÀÇ Å̧ ÀÏ ÀÌ ÇÊ¿äÇÏ ¸ ç marble tile· Î Àå½ÄÀ» ÇÏ±â À§ÇÑ °³

´ ç ° ¡ °ÝÀÌ terra-cotta tileÀÇ °¡ °Ýº ¸ ´ Ùx cents ¸ ¸ Å ³ ô±â ¶§¹ ®¿¡ Á¤´ äÀº (A)ÀỐ Ï ´ Ù.


57. If 6 machines ran at the same constant rate, they can complete a certain job in 8 hours. If

only 5 of these machines run at this rate, how many more minutes will be required to complete

the same job?

(A) 38 (B) 72 (C) 80 (D) 90 (E) 96

À§ÀÇ ¹ ®Á¦ ´ Â ´ ÙÀ½ÀÇ °ø½Ä(word problems °ø½ÄÁ¤¸ ® Âü° í !)À» ÀÌ ¿ëÇÏ ¸ é ¾ÆÁÖ ½¬¾î Áý´ Ï ´ Ù.

N1(6 machines) ×H1(8 hours) = N2(5 of these machines) × H2(?) : µ¿ÀÏ ÇÑ ÀÏ À» ÇÏ ¹ Ç· Î “=”ÀÓ

ÀÌ ½ÄÀ» Á¤¸ ®ÇÏ ¸ é H2= 48/5ÀÌ´Ù. µû¶ó¼ 48/5¿¡ ¼ 8 hours À» »©ÁÖ̧ é 5 machines ÀÌ ¾ó¸ ¶¸ ¸ Å

ÀÇ ½Ã°£ÀÌ ´ õ °Ȩ́ ®́ ÂÁö °è»êÇÒ ¼ö ÀÖ́ Ù. 48/5 – 8 = 8/5 hoursÁÒ. Hours¸ ¦ minutesÀ̧ · Î ¹ Ù² Ù̧ é(8/5) × 60 = 96 minutes,

ÇØ¼³ 2 µ¿ÀÏ ÇÑ ÀÛ¾÷ ¼Óµµ· Î (at the same constant rate) ÀÏ ÇÏ ´ Â 6´ ëÀÇ ±â°è°¡ ǢÁ¤ÇÑ ÀÛ¾÷À» ¿Ï ¼ö

ÇÏ ´ Âµ¥ 8½Ã°£ÀÇ ½Ã°£ÀÌ ¼Ò¿äµÉ ¶§, 5°³ ÀÇ ±â°è¸ ¸ ÀÌ ÀÛ¾÷À» ¼öÇàÇÒ ¶§ Ãß°¡ ÀûÀ̧ · Î ¼Ò¿äµḈ Â

½Ã°£Àº (º Ð́ ÜÀ§· Î ) ¾ó¸ ¶ÀÎ Áö¸ ¦ ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.

6´ ëÀÇ ±â°è°¡ ÀÛ¾÷À» ¿Ï ¼öÇÏ ´ Âµ¥ ° Ȩ́ ®́ Â ½Ã°£ÀÌ 8½Ã°£ÀÌ ±â ¶§¹ ®¿¡ 1½Ã°£ µ¿¾È¿¡ ¿Ï ¼öÇÏ ´ Â

ÀÛ¾÷ÀÇ ¾çÀº 1/8ÀÌ ¸ ç, ÇÑ ´ ëÀÇ ±â° è°¡ ¿Ï ¼öÇÏ ´ Â ÀÏ ÀÇ ¾çÀº 1/48 ÀỐ Ï ´ Ù.

6´ ëÀÇ ±â°è°¡ ¾ǼÑ 5´ ëÀÇ ±â°è°¡ ÀÏ ÇÒ °æ¿ì ¿¡ µµ ±â°è° ¡ 1½Ã°£¿¡ ¿Ï ¼öÇÏ ´ Â ÀÛ¾÷·®ÀÎ 1/48Àº

º ¯ÇÏ Áö ¾Ê½À́ Ï ´ Ù. ÀÌÁ¦ 5´ ëÀÇ ±â° è° ¡ ÀÏÇÏ±â ¶§¹ ®¿¡ 1½Ã°£µ¿¾È¿¡ ¿Ï ¼öÇÏ ´ Â ÀÛ¾÷·®Àº 5/48ÀÌ


45/48



¸ ç ÀÛ¾÷À» ¿Ï ¼öÇÏ ´ Âµ¥ ¼Ò¿äµḈ Â ½Ã°£Àº ÃÑ 48/5½Ã°£ÀỐ Ï ´ Ù. ¹ ®Á¦ ¿¡ ¼ ´ Â 8½Ã°£º ¸ ´ Ù ¸ î º ÐÀÌ

´ õ ¼Ò¿ä µḈ ÂÁö¸ ¦ ¹ °¾î º ¸ °í ÀÖ±â ¶§¹ ®¿¡ ´ ÙÀ½ÀÇ °è»êÀ» ÇØÁÖ¾î ¾ß ÇṌ Ï ´ Ù.

( ) 96)60548(608 =×−×


58. An inlet pipe can fill an empty pool with water in 3 hours, and the pool’ s outlet pipe can empty

a full pool in 4 hours. The water flows at constant rates through both pipes regardless of the

water level in the pool. If both pipes were inadvertently left open, what fraction of the pool

would be filled exactly 2 hours after water began to flow into the empty pool?

(A) 12

1 (B) 6

1 (C) 4

1 (D) 3

1 (E) 2

1

¹ °À» Ã¤¿ì ´ Â ÆÄÀÌ ÇÁ· Î (an inlet pipe) ¹ °À» Ã¤¿ì ´ Âµ¥ 3½Ã°£ ¼Ò¿äµË́ Ï ´ Ù.

Ý 1½Ã°£µ¿¾È an empty poolÀ» 1/3ÀÌ Ã¤¿ö ³ ª °©́ Ï ´ Ù.

¹ °À» ¹ èÃâÇÏ ´ Â ÆÄÀÌ ÇÁ· Î (an outlet pipe) ¹ °À» º ñ¿ì ´ Âµ¥ 4½Ã°£ ¼Ò¿äµË́ Ï ´ Ù

Ý 1½Ã°£µ¿¾È a full poolÀ» 1/4ÀÌ º ñ¿ö ³ ª °©́ Ï ´ Ù.

¸ ¸ ¾à ¹ °ÀÌ Ã¤¿öÁö´ Â µ¿½Ã¿¡ ¹ °ÀÌ º ñ¿öÁö´ Â °æ¿ì ÇÑ ½Ã°£ µ¿¾È¿¡ Ã¤¿öÁö´ Â ¹ °ÀÇ ¾çÀº ´ ÙÀ½½Ä¿¡ µû¶ó °è»êÇṌ Ï ´ Ù.

= − 1214131

ÇÑ ½Ã°£ÀÌ Áö³ ª ¸ é 1/3ÀÇ ¹ °ÀÌ Ã¤¿öÁö°í , 1/4 ¹ °ÀÌ º üÁ® ³ ª °¡ ´ Ï ±î ³ ² ´ Â ¹ °ÀÇ ¾çÀº 1/12ÁÒ.

¹ ®Á¦ ¿¡ ¼ ´ Â µÎ ½Ã°£µ¿¾È¿¡ Ã¤¿öÁö´ Â ¹ °ÀÇ ¾çÀÇ ¾çÀ» ¹ °¾î º ¸ ° í ÀÖÀ̧ ¹ Ç· Î ÇÑ ½Ã°£µ¿¾È¿¡ Ã¤¿öÁö´ Â ¹ °ÀÇ ¾ç¿¡ 2½Ã°£À» ° öÇØ ÁÖ¾î ¾ß ÇṌ Ï ´ Ù .⇒ (1/12)×2 = 1/6

ÿ Á¤´ äÀº (B)ÀỐ Ï ´ Ù

59. 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 manyhours can S , working alone, complete one of these jobs?

(A) 18 (B) 12 (C) 9 (D) 6 (E) 3

R : 9½Ã°£ ° É· Á ÀÛ¾÷ ¿Ï ¼ö 1½Ã°£¿¡ 1/9ÀÛ¾÷ ¿Ï ¼ö

R°ú S°¡ µ¿½Ã¿¡ °°ÀÌ ÀÏ ÇÒ °æ¿ì 6½Ã°£ ¼Ò¿ä

RÀº 6½Ã°£ µ¿¾È ÀÛ¾÷· ®ÀÇ 2/3¸ ¦ ¿Ï ¼ö ÇÔÀ̧ · Î S° ¡ ³ ª ¸ ÓÁö 1/3À» 6½Ã°£ µ¿¾È ¿Ï ¼öÇÑ́ Ù.

°á±¹ S´ Â ½Ã°£´ ç 1/18¸ ¸ Å ¾¿ ÀÏ À» ÇÑ́ Ù.



46/48



60. Machines ,, B A and C working together, but independently, at their respective constant

rates can do a certain job in

2

11 hours. If A alone can do the job in 5 hours, and B

alone can do the job in 3 hours, in how many hours can C alone do the job?

(A)3

11 (B)

7

12 (C) 3 (D) 5 (E)

2

17

(A+B+C) 1(1/2) hours ½Ã°£´ ç 2/3¸ ¸ Å ¾¿ ÀÛ¾÷· ® ¿Ï ¼ö

±â° è A : ½Ã°£´ ç 1/5¸ ¸ Å ¾¿ ÀÛ¾÷·® ¿Ï ¼ö 1(1/2)½Ã°£µ¿¾È 3/10 ¿Ï ¼ö

±â° è B : ½Ã°£´ ç 1/3¸ ¸ Å ¾¿ ÀÛ¾÷·® ¿Ï ¼ö 1(1/2)½Ã°£µ¿¾È 1/2 ¿Ï ¼ö

±â°è C : 3/2½Ã°£µ¿¾È 1/5 ¿Ï ¼ö ÇÏ ¿©¾ß ÇÔ. 1(1/2)½Ã°£µ¿¾È 3/10 ¿Ï ¼ö


61. Bell X rings once every 12 minutes, bell Y once every 14 minutes, and bell Z once every

15 minutes. If, during a given day, the three bells ring at exactly the same instant, how many

minutes will elapse before the three bells next ring simultaneously?

(A) 60 (B) 210 (C) 420 (D) 840 (E) 2,520

Bell X́ Â ¸ Å 12ºÐ̧ ¶´ Ù, Bell Ý Â ¸ Å 14ºÐ̧ ¶´Ù, Bell Ź Â 15ºÐ̧ ¶´Ù ¿ï ¸ ± ¶§ 3°³ ÀÇ º §ÀÌ µ¿½Ã

¿¡ ¿ï ¸ ®°í ´ Ù½Ã µ¿½Ã¿

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