Gremath set8 1

GRE Math °-ÁÂ Set 8-1

Category 8 Word Problem

1
1. Water has been pouring into a tank for 12 minutes at the constant rate of 1 gallon per answer
2
1
second. If the tank was initially empty and is now full, what is the total capacity of the
3
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.
answer
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?
1 1 1 1 1
(A) (B) (C) (D) (E)
118 119 120 121 122

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

À±ÅÂÈ-¿µ¾î¿¬±¸½Ç http://www.vstudy.co.kr,
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4. A certain property doubl ed in value from 1950 to 1960 and tripled in value from 1960 to 1980. answer
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

1 1
5. Of the final grades received by the students in a certain math course, are A ’s, are answer
5 4
1
B ’s, are C ’s and the remaining 10 grades are D ’s. What is the number of students
2
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 answer
tomato?
(A) 17 cents
(B) 21 cents
(C) 24 cents
(D) 28 cents
(E) 35 cents



7. On a new job Alice earned $198 the first week and $220 the second week. If she worked 4 answer
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
answer
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 answer
many of the envelopes did the clerk put 2 stamps?
(A) 4
(B) 6
(C) 8
(D) 12
(E) 16



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

1 2
11. In traveling from a dormitory to a certain city, a student went of the way by foot, of
5 3 answer

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
answer
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



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

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



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

17. If a 50-pound food package consists of individual 4-ounce packets, how many individual answer
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 answer
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) 5 x + 0.30
(B) (5 + x )0.30
(C) 5 − 0.30 x
(D) 0.30 x + 5
(E) 0.70 x + 5



19. An empty oil tanker was filled with oil at a uniform rate in t hours. What proportion of answer
the tanker was filled during the first x hours if x < t ?
x t x t−x t−x
(A) (B) (C) (D) (E)
t x t−x t x

20. If a basketball team scores an average (arithmetic mean) of x points per game for n answer
games and then scores y points in its next game, what is the team’s average score for the
n + 1 games?
nx + y
(A)
n +1
y
(B) x+
n +1
y
(C) x+
n
n( x + y )
(D)
n +1
x + ny
(E)
n +1

21. If a train travels at a speed of k meters per second, how many kilometers will it travel in t
answer
minutes? (1 kilometer = 1,000 meters)
60kt
(A)
1,000
60kt
(B)
100
1,000kt
(C)
60
(D) 6.000kt
(E) 60, 000kt



< High Level ¹®Á¦ >
22. Mason and Kathy, who both work in the evening wish to arrange for an evening off together. answer
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
answer
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
answer
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



25. A school supply store sells only one kind of desk and one kind of chair, at a uniform cost per answer
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?
8 5 7
(A) 5 (B) 3 (C) (D) (E)
3 2 3

26. A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of
answer
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
answer
seasons. If storage costs for the excess are y dollars per unit per day ( x > y ) , which of
the 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) x−y
(B) ( x − y )n
x
(C)
y
xn
(D)
y
x
(E)
yn



28. A certain disability plan pays monthly benefits of 60 percent of the first $2,000 of monthly answer
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 monthly
benefit 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 answer
1
defective switches are rejected and of the nondefective switches are rejected by mistake.
20
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 answer
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%



31. A garment order consists of jackets costing $36 each and shirts costing $26 each. If the total answer
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 ar e 7 inches
answer
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 answer
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 i n the club?
(A) 1:1
(B) 1:2
(C) 1:3
(D) 2:1
(E) 3:1



34. A team won 40 percent of the 15 games it has already played. If the team were to win 75 answer
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 answer
1
are faulty, but approximately of the faulty engines pass inspection. If, in a group of 1,000
6
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 answer
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%



37. Jeff drove to work from his home averaging 40 miles per hour, and was 12 minutes late. The answer
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 hi s 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
answer
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
answer
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%
1
(C) 37 %
2
(D) 45%
1
(E) 56 %
4



40. Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water answer
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%
1
(B) 33 %
3
1
(C) 37 %
2
(D) 40%
(E) 50%

41. How many gallons of water must be mixed with 1 gallon of a 15-percent salt solution to obtain
answer
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 answer
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?
1
(A)
6
1
(B)
3
2
(C)
3
5
(D)
6
17
(E)
18



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

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



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



1
49. For each hour worked in excess of 40 hours per week, a mechanic is paid 1 times her answer
2
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

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

1
51. Reggie had to type 90 letters. During the first day he typed of the letters, and during the
3 answer

2
second day he typed of the remaining letters. How many letters were still untyped at the
5
end of the second day?
(A) 36
(B) 32
(C) 24
(D) 18
(E) 12



1
52. One karat signifies that of an alloy is pure gold. If a certain ring is 14-karat gold, answer
24
approximately what percent of the alloy composing the ring is not gold?
(A) 14% (B) 24% (C) 42% (D) 55% (E) 58%

1 1
53. At a certain pizzeria, of the pizzas sold in one week were mushroom and of the answer
8 3
remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how many
were mushroom?
3
(A) n
8
3
(B) n
7
7
(C) n
16
7
(D) n
8
(E) 3n

3
54. Beth received of the votes cast in a certain election. What fraction of the other votes answer
10
1
cast would she have needed in order to have received of the votes cast?
2
1
(A)
5
2
(B)
7
3
(C)
10
7
(D)
20
1
(E)
2



55. From January 1, 1980, to January 1, 1984, the number of employees of Company X answer
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
answer
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) 200x
(B) 360x
(C) 720x
(D) 2,400x
(E) 28,800−144x

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



58. An inlet pipe can fill an empty pool with water in 3 hours, and the pool’s outlet pipe can empty answer
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?
1 1 1 1 1
(A) (B) (C) (D) (E)
12 6 4 3 2

59. Working alone, R can complete a certain kind of job in 9 hours. R and S , working answer
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 A, B, and C working together, but independently, at their respective constant answer
1
rates can do a certain job in 1 hours. If A alone can do the job in 5 hours, and B
2
alone can do the job in 3 hours, in how many hours can C alone do the job?
1
(A) 1
3
1
(B) 2
7
(C) 3
(D) 5
1
(E) 7
2



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

x = − 810 , 000 , 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
answer
physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly
from the supply room, how many must be removed to ensure that 80 of the books removed are
on the same science?
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324



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

1
65. An apartment building has 9 floors with 2 n apartments per floor. If of the apartments
3 answer

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) 3n
(B) 5n
(C) 6n
(D) 12n
(E) 4 15n

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



¼öÇÐÇØ¼³ Category 8-1 Word Problems

1
1. Water has been pouring into a tank for 12 minutes at the constant rate of 1 gallon per
2
1
second. If the tank was initially empty and is now full, what is the total capacity of the
3
tank, in gallons?
(A) 375 (B) 1,125 (C) 1,500 (D) 2,160 (E) 2,250

12(1/2)minutes´Â 12ºÐ 30ÃÊ, ´Ù½Ã second·Î °íÄ¡¸é 12×60 + 30 = 750 seconds. À§¿¡¼- per second
´ç 1 gallonÀÇ ¼Óµµ·Î Áõ°¡ÇÑ´Ù°í ÇßÀ¸´Ï 750ÃÊ µÚ¿¡´Â 750 gallonÀÌ Áõ°¡ÇßÁÒ. ÀÌ ¾çÀº ÀüÃ¼
capacity
ÅÊÅ©ÀÇ capacityÀÇ 1/3À» Ã¤¿î´Ù. µû¶ó¼- = 750
3
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?
1 1 1 1 1
(A) (B) (C) (D) (E)
118 119 120 121 122

$ 0 . 01 1
= Tip : fractions À¯ÇüÀÇ ¹®Á¦¸¦ Ç® ¶§ ÁÖÀÇÇÒ Á¡Àº ºÐ¸ð¿Í ºÐÀÚ
$ 1 . 19 ( 1 . 20 − 0 . 01 ) 119

¸¦ È¥µ¿ÇÏÁö ¸»¾Æ¾ß ÇÑ´Ù´Â Á¡ÀÔ´Ï´Ù. ¿©±â¼-´Â the amount paid for the first quartÀÇ what
fractionÀ» ¹¯´Â °ÍÀÌ´Ï±î ÀÌ°ÍÀÌ ºÐ¸ð°¡ µÇ¾î¾ß ÇÕ´Ï´Ù.
ÿ Á¤´äÀº (B)

Tips: FractionsÀÇ Á¤ÀÇ

d numerator part dividend
= = =
n deno min ator whole divisor

À±ÅÂÈ-¿µ¾î¿¬±¸½Ç, http://www.vstudy.co.kr, help@vstudy.co.kr, 02-538-5999, Page 23


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 <ÀüÃ¼ ¹°°Ç °ª¿¡ 105%À» °öÇÏ¸é µÇÁÒ>
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 2¹è 1960 3¹è 1980 , µû¶ó¼- 1980³âÀº 1950³âÀ» ±âÁØÀ¸·Î 6¹è°¡ Áõ°¡
ÇßÁÒ.
ÿ Á¤´äÀº (C)

1 1
5. Of the final grades received by the students in a certain math course, are A ’s, are
5 4
1
B ’s, are C ’s and the remaining 10 grades are D ’s. What is the number of students
2
in the course?
(A) 80 (B) 110 (C) 160 (D) 200 (E) 400

1
1− (1/5+1/4+1/2) = (the number of students in the course) = 10 ¸í
20
µû¶ó¼- ÀüÃ¼ ÇÐ»ý¼ö´Â 200¸íÀÔ´Ï´Ù.
ÿ Á¤´äÀº (D)



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°³ÀÇ ¹«°Ô°¡ 30 poundsÀÌ¸ç 1 pound´ç °¡°ÝÀº 35centÀÏ ¶§ Åä¸¶Åä °³´ç °¡°ÝÀ» ¹°
¾î º¸°í ÀÖ½À´Ï´Ù.
¼ö½Ä: ( 30 pounds × 35(cents) ) / 50 (°³) = 21 cents
ÿ Á¤´äÀº (B)

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°¡ ÀÏÁ¤ÇÑ Á¶°Ç ÇÏ¿¡¼- Ã¹ ÁÖ´Â $198À» µÎ ¹øÂ° ÁÖ¿¡´Â $220À» ¹ú¾úÀ¸¸ç, µÎ ¹ø
Â° ÁÖ¿¡´Â 4½Ã°£À» ´õ ÀÏÇß´Ù°í ÇÕ´Ï´Ù. ½Ã°£´ç ±Þ·á¸¦ ¾Ë°í ½ÍÀ¸¸é µÎ ÁÖ°£ÀÇ ±Þ·áÀÇ Â÷ÀÌ
¸¦ 4½Ã°£À¸·Î ³ª´©¸é µÇ°Ú±º¿ä.

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

ÿ ´äÀº (D)ÀÔ´Ï´Ù.

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

12°³¿¡ $1.8ÇÏ´Â ¹°°ÇÀ» 72°³ ±¸ÀÔ (6 dozen items)ÇÏ°í ÀÌ¸¦ °³´ç $0.20¿¡ ÆÇ¸ÅÇÒ ¶§ÀÇ ¼öÀÍÀ»
¹°¾î º¸°í ÀÖ½À´Ï´Ù.
°³´ç ±¸ÀÔ°¡°ÝÀ» ¸ÕÀú ±¸ÇÏ°í ( 1.8 (dollars) / 12(°³) = 0.15 ) ÆÇ¸Å°¡°Ý¿¡¼- ±¸ÀÔ°¡°ÝÀ» »« ±Ý
¾×¿¡( 0.2(dollar) – 0.15(dollar) = 0.05(dollar) ) ¼ö·®À» °öÇÏ¿© ÁÖ¸é µÇ°Ú½À´Ï´Ù.
ÿ ´äÀº (E)ÀÔ´Ï´Ù.



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°³ÀÇ ºÀÅõ¿¡ ÇÑ °³ ¶Ç´Â µÎ °³ÀÇ ¿ìÇ¥¸¦ ºÎÄ¡´Âµ¥ 36°³ÀÇ ¿ìÇ¥¸¦ »ç¿ëÇß´Ù. µÎ °³ÀÇ ¿ìÇ¥
¸¦ ºÎÄ£ ºÀÅõ´Â ¸î °³ÀÎ°¡¸¦ ºÑ°í ÀÖ½À´Ï´Ù.
±âº»ÀûÀ¸·Î 20°³ÀÇ ºÀÅõ¿¡ ÇÑ °³¾¿ ¿ìÇ¥¸¦ ºÎÄ¡°íµµ 16°³¸¦ ´õ »ç¿ëÇßÀ¸¹Ç·Î µÎ °³ÀÇ ¿ìÇ¥
¸¦ ºÎÄ£ ºÀÅõ´Â 16°³ÀÔ´Ï´Ù.
ÿ Á¤´äÀº (E)

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¤¿¡ ·Îº¸Æ®°¡ µµÀÔµÈ ÈÄ
production cost´Â $600,000À¸·Î °¨¼ÒÇÏ°í nonproduction cost $65,000·Î º¯ÇßÀ» ¶§ ºñ¿ëÀüÃ¼ °¨
¼Ò¸¦ ±¸ÇÏ¶ó´Â ¹®Á¦ ÀÔ´Ï´Ù. Áï $719,000 e $600,000À¸·Î °¨¼Ò : $15,000 e 65,000Áõ°¡
µÎ °ªÀ» ÇÕÄ¡¸é $734,000 e $665,000 °¨¼ÒµË´Ï´Ù. ÀÌ µÎ °ªÀÇ Â÷ÀÌ°¡ Á¤´äÀÌ³×¿ä.

ÿ Á¤´äÀº (B)

1 2
11. In traveling from a dormitory to a certain city, a student went of the way by foot, of
5 3
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 ¹ö½º·Î ±×¸®°í ³ª¸ÓÁö 8Km´Â ÀÚµ¿Â÷¸¦ ÀÌ¿ëÇÑ´Ù°í ÇÒ ¶§ ±â¼÷»ç¿¡¼-
µµ½Ã±îÁöÀÇ °Å¸®¸¦ ¹°¾î º¸°í ÀÖ´Ù.

ÀüÃ¼°Å¸®¸¦ D¶ó °¡Á¤ÇÏ°í Ç®¸é : D – (1/5D+2/3D)= 8 (Km)
ÿ Á¤´äÀº (C)



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 ¹Ù³ª³ª¸¦ $0.5¿¡ ±¸ÀÔÇÏ¿© 4 poundsÀÇ ¹Ù³ª³ª¸¦ $1¿¡ ÆÇ¸ÅÇÒ ¶§ ¾ó¸¶¸¸Å-ÀÇ ¹Ù
³ª³ª¸¦ ÆÇ¸ÅÇØ¾ß $10.00ÀÇ ¼öÀÍÀ» °ÅµÑ ¼ö ÀÖ´ÂÁö¸¦ ¹°¾îº¸°í ÀÖ´Ù.
ÆÄ¿îµå ´ç ±¸ÀÔ°¡°Ý ¹× ÆÇ¸Å°¡°ÝÀ» ±¸ÇÏ¿© $10À» ³ª´©¾îµµ µÇ°ÚÁö¸¸ , ´äÀ» »¡¸® ±¸ÇÏ±â À§
ÇØ¼-´Â 3°ú 4ÀÇ ÃÖ¼Ò°ø¹è¼öÀÎ 12¸¦ ±¸ÇÏ¿© Ç®¸é ºü¸£°Ô Ç® ¼ö ÀÖ´Ù.
±¸ÀÔ½Ã : 12 pounds $ 2
ÆÇ¸Å½Ã : 12 pounds $ 3
±×·¯¹Ç·Î 12 pound¸¦ ÆÇ¸ÅÇÒ ¶§ ¸¶´Ù $1¸¸Å- ¼öÀÍÀ» ¿Ã¸°´Ù.
12 pounds: $1 = x : $10

ÿ Á¤´äÀº (D)

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 ³ª´©¾îÁÙ ¶§, Å« ¾ÆµéÀÌ $15,000, µÑÂ°°¡ $10,000, ±×¸®°í
¸·³»°¡ $2,000À» ±× Àü¿¡ ¹Þ¾Ò½À´Ï´Ù. $111,000ÀÇ ³ª´©µÇ ±× Àü¿¡ ¹ÞÀº µ·°ú »õ·Î ¹ÞÀº µ·À»
ÇÕÃÄ ¸ðµÎ ¶È°°Àº ±Ý¾×À» ¹Þ¾Ò´Ù¸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 ¹ÞÀº ÃÑ ¾×¼ö)
¸·³»´Â ±× Àü¿¡ $2,000À» ¹Þ¾ÒÀ¸¹Ç·Î $46,000 - $2,000 = $44,000À» estate¿¡¼- ¹Þ¾Ò½À´Ï´Ù.

ÿ Á¤´äÀº (D)



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¸íÀÌ 3ÀÏ µ¿¾È $60À» food¿¡ ÁöÃâÇß´Ù¸é 1¸íÀÌ ÇÏ·çµ¿¾È À½½Ä¿¡ ¾²´Â °æºñ´Â
$60
= $5 , 7¸íÀÌ 5ÀÏ µ¿¾È À½½Ä¿¡ ÁöÃâÇÏ´Â µ·Àº $5×7 adults ×5-day = $175
3 − day × 4adults

ÿ Á¤´äÀº (B)

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
ÿ Á¤´äÀº (D)

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 ÀÖ´Â ºÎºÐÀÇ ÀÇ¹Ì´Â ¼¼±Ý³³¼¼ÀÚ°¡ ÀÏ³â Áß resident·Î¼- ±× ÁÖ¿¡¼- »ê
±â°£¸¸Å- ¼¼±ÝÀ» °è»êÇÑ´Ù´Â ÀÇ¹ÌÁÒ. ÀÏ³â Áß 8°³¿ùÀ» ¾î¶² ÁÖ¿¡¼- »ì¾Ò´Ù¸é ÀüÃ¼ ¼¼±ÝÀÇ
8
¸¸Å-¸¸³³¼¼ÇÏ¿© µÈ´Ù´Â ¶æÀÔ´Ï´Ù.
12
ÿ Á¤´äÀº (C)



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°ÍÀ» 4-ounce·Î ³ª´©¸é ±× °ªÀÌ packetsÀÇ ÃÑ ¼öÀÔ´Ï´Ù. 128,000 ÷ 4 = 32,000
ÿ Á¤´äÀº (A)

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) 5 x + 0.30
(B) (5 + x )0.30
(C) 5 − 0.30 x
(D) 0.30 x + 5
(E) 0.70 x + 5

¹°°ÇÀ» º¸³»´Âµ¥ ±âº»¿ä±ÝÀÌ $5¿¡ ounce´ç 30cent¾¿ Ãß°¡µÈ´Ù´Â ³»¿ëÀÔ´Ï´Ù.´ÜÀ§¸¦ ÁÖÀÇÇÏ¿©
¹®Á¦¸¦ ÇØ°áÇØ¾ß ÇÕ´Ï´Ù.
Cent¸¦ $´ÜÀ§·Î °íÄ¡¸é 30cent´Â $0.3ÀÌ µÇÁÒ…
ÿ ´äÀº (D)ÀÔ´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 x < t ?
x t x t−x t−x
(A) (B) (C) (D) (E)
t x t−x t x

¼®À¯ÅÊÅ©°¡ ÀÏÁ¤ÇÑ ¼Óµµ·Î t ½Ã°£ ¸¸¿¡ Ã¤¿ö Áú ¶§ Ã¹ x½Ã°£ µ¿¾È¿¡ Ã¤¿ìÁö´Â ÅÊÅ©ÀÇ ºñÀ²
À» ±¸ÇÏ¶ó´Â ¹®Á¦ÀÔ´Ï´Ù.
1
ÅÊÅ©´Â ÇÑ ½Ã°£´ç ¾ó¸¶ ¸¸Å-½Ä Ã¤¿öÁú±î¿ä. ¸¸Å-¾¿ Ã¤¿öÁöÁÒ .±×·¡¾ß¸¸ÀÌ t½Ã°£ÀÌ Áö³ª¾ß
t
Áö ÀüÃ¼°¡ Ã¤¿öÁö°ÚÁÒ.
ÿ Á¤´äÀº (A)



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
n + 1 games?
nx + y
(A)
n +1
y
(B) x+
n +1
y
(C) x+
n
n( x + y )
(D)
n +1
x + ny
(E)
n +1

N°ÔÀÓ¿¡¼-´Â X points Æò±ÕµæÁ¡ ; N°ÔÀÓ ´ÙÀ½ °æ±â µæÁ¡Àº y. ¾Æ·¡ °ø½ÄÀ» ÀÌ¿ëÇÏ¸é:
< Average Problem> ±×·ì N 1 ÀÇ average Â A1 ÀÌ°í N 2 ÀÇ Æò±ÕÀºA2 ÀÏ ¶§
´ , ,
Combined Average = N1 ⋅ A1 + N 2 ⋅ A2 , ℵ♣ℵ∩
≠→ℑƒ÷ƒ
↵⇒ℜ⊇ℵ∩
°⊗↵ϒ ×ℵ™∩∉÷
N1 + N 2

ÿ Á¤´äÀº (A)

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)
60kt
(A)
1,000
60kt
(B)
100
1,000kt
(C)
60
(D) 6.000kt
(E) 60, 000kt

Distance(°Å¸®) = Rate(¼Óµµ) × Time(½Ã°£)
ÃÊ´ç k metersÀ» °¡´Â ±âÂ÷°¡ t minutes ÈÄ ¸î kilometersÀ» °¡´ÂÁö¸¦ ±¸ÇÏ´Â ¹®Á¦³×¿ä.
K metersÀ» 1,000À¸·Î ³ª´« ÈÄ ´Ù½Ã 60À» °öÇØÁÖ¸é Á¤´äÀ» ±¸ÇÒ ¼ö ÀÖ³×¿ä.
ÿ Á¤´äÀº (A)



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.

Mason Àº 4ÀÏ¿¡ ÇÑ ¹ø, Kathy´Â 5¿¡ ÇÑ ¹ø¾¿ ½®´Ù´Â ÀÇ¹ÌÀÔ´Ï´Ù . ÀÌ ¹®Á¦´Â ½ÇÁ¦·Î ±×¸²À»
±×·Á °¡¸ç µûÁ®¾ß ÇÏ´Â ¹®Á¦ÀÔ´Ï´Ù. °¡²û ÀÌ·¯ÇÑ ¹®Á¦µµ ÃâÁ¦ µË´Ï´Ù.
ÿ Á¤´äÀº (E)

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·ç¾îÁø test¿¡¼- °¢ ¹®Á¦¿¡ ´ëÇÑ Á¡¼ö´Â 1¹ø ¹®Á¦ ÀÌÈÄ·Î´Â ¾ÕÀÇ ¹®Á¦ º¸´Ù 2Á¡
¾¿ ¿Ã¶ó °¡¸ç ¹®Á¦¸¦ Ç®¾î¼- ÃÖ°í·Î ¾òÀ» ¼ö ÀÖ´Â Á¡¼ö°¡ 100Á¡ÀÏ ¶§ 8¹ø ¹®Á¦ÀÇ Á¡¼ö¸¦ ¹°
¾î º¸°í ÀÖ´Ù.
10S(Ã³À½ °ª) + (2 + 4 + 6 + ⋅⋅⋅ + 18) = 100 ⇒ S = 1(ÃÊ±â°ª)¿¡ 2×7 = 14À» ´õÇÏ¸é 15.
ÿ Á¤´äÀº (C)

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 ÆÇ¸Å·®°ú »ó°ü ¾øÀÌ ¹Þ´Â ¿¬ºÀÀÌ±â ¶§¹®¿¡ ¿ì¼± $25,000¿¡¼- »©¾îÁÖ°í ³²°Ô µÇ´Â
$10,000¸¸Å-À» commissionÀ¸·Î ¹ÞÀ¸¸é µË´Ï´Ù.
ÀÌÁ¦ ÀÚµ¿Â÷ ÆÇ¸Å·®À» °¡Àå ÀÛ°Ô ÇÏ·Á¸é µÉ ¼ö·Ï ´ë´ç commissionÀÌ ³ôÀº a full size carÀ» ¸¹
ÀÌ ÆÇ¸ÅÇÏ¸é µÇ°ÚÁÒ . $ 800x + $ 500y = $10,000À» ¸¸Á·ÇÏ´Â °ªÀ» ±¸ÇÏ¸é X°¡ 12ÀÏ ¶§°¡
$9,600ÀÌ µÇ¹Ç·Î Á¤´äÀÔ´Ï´Ù. .
ÿ Á¤´äÀº (D)



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?
8 5 7
(A) 5 (B) 3 (C) (D) (E)
3 2 3
3Desk + Chair = 2(D+3C) ⇒ D = 5C
4D + C = x (D+4C) ⇒ ¿©±â¿¡ D = 5CÀ» ´ëÀÔÇÏ¸é 21C = x ( 9C )⇒ x = 7/3
ÿ Á¤´äÀº (E)

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 ÇßÀ¸³ª ÆÇ¸ÅÇÏÁö ¾Ê°í µ¥¸ð¿ëÀ¸·Î »ç¿ëÇÑ °ÍÀ» ºñ¿ëÀ¸·Î Àâ¾Æ
ÁÖ¾î¾ß ÇÕ´Ï´Ù.
ÿ Á¤´äÀº (E)

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 ( x > y ) , which of
the 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?
x xn x
(A) x−y (B) ( x − y )n (C) (D) (E)
y y yn

D¸¦ º¸°üÇÏ´Â ³¯ÀÌ¶ó°í ÇÏ¸é,
x
nx = ynD ⇒ D =
y
ÿ Á¤´äÀº (C)



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 monthly
benefit under this plan?
(A) $5,750 (B) $5,250 (C) $4,500 (D) $3,250 (E) $2,200

$2,000ÀÌÇÏÀÎ ±Þ¿©¿¡ ´ëÇØ¼-´Â 60%°¡ Áö±ÞµÇ±â ¶§¹®¿¡ $2,500¿¡¼- $1,200À» Á¦¿ÜÇÑ $1,300À»
¹Þ±â À§ÇÑ ÃÖ¼Ò±Þ¿©°¡ ¾ó¸¶ÀÎÁö¸¦ °è»êÇÏ¸é µË´Ï´Ù.
$ 1,300 ×(5/2)= $ 3,250
°á±¹, $2,000 + $ 3,250 = $ 5,250
(ÇÔÁ¤) $3,250¿¡ $2,000À» ´õÇÏ¿© ÁÖ´Â °ÍÀ» ÀØÀ¸¸é ¾ÈµË´Ï´Ù.
ÿ Á¤´äÀº (B)

29. One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the
1
defective switches are rejected and of the nondefective switches are rejected by mistake.
20
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%
1 4 1
ÀüÃ¼ »ý»ê·®ÀÇ °¡ ºÒ·®Ç°ÀÌ¸ç , ºÒ·®Ç°ÀÇ °¡ Á¦°Å µÇ¾îÁö³ª ºÒ·®Ç°ÀÌ ¾Æ´Ñ Á¦Ç°ÀÇ
5 5 20
ÀÌ ¶ÇÇÑ ½Ç¼ö·Î Á¦°Å µÇ¾îÁø´Ù°í ÇÕ´Ï´Ù.ÀÌ·² ¶§ ÆÇ¸Å µÇ¾îÁö´Â Á¦Ç° Áß ºÒ·®Ç°ÀÇ ºñÀ²À»
±¸ÇÏ¶ó´Â ¹®Á¦ÀÔ´Ï´Ù.
• ºÒ·®Ç°ÀÌ¸ç Á¦°ÅµÇ¾îÁö´Â Á¦Ç°ÀÇ ºñÀ²(defective and rejected) :
1 4 1
× = 0.16 (16%), ÀüÃ¼ »ý»ê·® Áß 20%( )°¡ ºÒ·®Ç°ÀÌ¶ó°í Çß±â ¶§¹®¿¡ 20% - 16% =4%
5 5 5
ÀÇ ºÒ·®Ç°ÀÌ Á¦°ÅµÇÁö ¾Ê´Â´Ù´Â ÀÇ¹ÌÀÔ´Ï´Ù.
• ºÒ·®Ç°ÀÌ ¾Æ´ÏÁö¸¸ Á¦°ÅµÇ¾îÁö´Â Á¦Ç°ÀÇ ºñÀ²(not defective and rejected) :
4 1
× = 0.04 , ÀüÃ¼ »ý»ê·® Áß ºÒ·®Ç°ÀÌ ¾Æ´Ñ 4%ÀÇ Á¦Ç°ÀÌ ºÒ·®Ç°À¸·Î ¿ÀÀÎµÇ¾î ÆÇ¸ÅµÇ
5 20
Áö ¾Ê½À´Ï´Ù . µÎ °á°ú¸¦ ÇÕÄ¡¸é ÀüÃ¼ »ý»ê·® Áß ºÒ·®Ç° 16%, Á¤»óÁ¦Ç° 4%°¡ Á¦°Å µÇ¾î
ÃÑ»ý»ê·®ÀÇ 80%°¡ ÆÇ¸ÅµÇ¾îÁö°í ÀÌÁß ºÒ·®Ç° 4%°¡ ¼¯ÀÌ¾î µé¾î°©´Ï´Ù.
Æ÷ÀÎÆ®´Â ÆÈ¸° ¹°°Ç Áß¿¡ ¸î percent °¡ defective ÀÎ°¡¸¦ ¹¯´Â ¹®Á¦ÁÒ. °ø½ÄÀ» Á¤¸®ÇÏ¸é:
part 4%(defective & sold )
= = 5%
whole (80% − 4%) + 4%
ÿ Á¤´äÀº (B)ÀÔ´Ï´Ù.



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 ÀÌÇÏ Total

Car pool 30% × 60% 40 – 18 = 22% 40%
Not Car pool
30%
¹®Á¦´Â 10milesÀÌÇÏÀÌ°í car poolÀ» ÇÏ´Â »ç¶÷ÀÇ percentÀ» ±¸ÇÏ´Â °ÍÀÔ´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±Õºñ¿ëÀº $30ÀÌ¶ó¸é, jacketÀ» 2¹ú ±¸ÀÔÇÒ ¶§
shirt¸¦ 3¹ú ±¸ÀÔÇß´Ù´Â °ÍÀÌ´Ù. ±×·¡¾ß °¡Áß Æò±ÕÀ» ±¸ÇÒ ¶§ Æò±Õºñ¿ëÀÌ $30ÀÌ µÇ¾îÁø´Ù. ÀÌ
·¯ÇÑ »ç½ÇÀ» ÀÌ¿ëÇÏ¿© ´ÙÀ½°ú °°ÀÌ ¹®Á¦¸¦ ÇØ°áÇÒ ¼ö ÀÖ´Ù.
$36×N + $26×1.5N= $1,200 ⇒ N(jackets) = 16°³, µû¶ó¼- shirts´Â 16×1.5 =24°³ÀÔ´Ï´Ù.
24°³ – 16°³ = 8°³
ÿ Á¤´äÀº (E)

32. The front wheels of a toy truck are 4 i nches 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 ¹ÙÄûÀÇ ¿øÁÖ°¡ 4 inches, µÚ ¹ÙÄûÀÇ ¿øÁÖ°¡ 7inches ÀÏ ¶§ ¾Õ ¹ÙÄû°¡ µÚ ¹ÙÄûº¸´Ù 12¹ÙÄû
´õ È¸Àü ÇßÀ» ¶§ ¿òÁ÷ÀÎ °Å¸®¸¦ ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
ÀÌ¹ø ¹®Á¦´Â ¸¶Ä¡ °ø¹è¼ö¸¦ ±¸ÇØ ÁÖ´Â ¹®Á¦¿Í °°Àº ³í¸®·Î ÇØ°áÇÏ¸é µË´Ï´Ù. µÎ ¹ÙÄûÀÇ ¿ø
ÁÖ°¡ ¼-·Î ´Ù¸£Áö¸¸ ¿òÁ÷ÀÎ °Å¸®´Â °°°Ô µË´Ï´Ù. ¿òÁ÷ÀÎ °Å¸®°¡ ÀÏÄ¡ ÇÏ·Á¸é µÚ ¹ÙÄû°¡ 4¹Ù
Äû (28inches) µ¹ ¶§ ¾Õ ¹ÙÄû´Â 7¹ÙÄû(28inches) µ¹¾Æ¾ß ÇÕ´Ï´Ù. °á±¹ 3¹ÙÄû¸¦ ´õ µ¹¾Æ¾ß µË´Ï



´Ù. ÀÌ·¯ÇÑ °á°ú·Î 28 inches¾¿ °¥ ¶§ ¾Õ ¹ÙÄû´Â µÚ ¹ÙÄû º¸´Ù 3 ¹ÙÄû¸¦ ´õ µ¹¾Æ¾ß ÇÑ´Ù´Â
»ç½ÇÀ» ¾Ë¾Ò½À´Ï´Ù. ¹®Á¦´Â ¾Õ ¹ÙÄû°¡ 12 ¹ÙÄû¸¦ ´õ µ¹¸é, Áï 3 revolution : 28 inches = 12
revolution : X ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é X = 112 ÀÔ´Ï´Ù.
ÿ Á¤´äÀº (A)ÀÔ´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±ÕÀ¸·Î È¸¿ø 1¸íÀÌ 92°³ÀÇ ticketÀ» ÆÈ¾Ò°í, È¸¿ø Áß ³²¼ºÀº 96Àå ¿©¼ºÀº 84Àå ÆÈ¾Ò´Ù
¸é ³²¼ºÀº 1¸í´ç Æò±Õº¸´Ù 4Àå¾¿ ´õ ÆÈ¾Ò°í ¿©¼ºÀº 8¾¿À» ´ú ÆÈ¾Ò´Ù . ÀÌ·¯ÇÑ »óÈ²¿¡¼- Æò±Õ
À» ¸ÂÃß¾î ÁÖ±â À§ÇØ¼-´Â ¿©¼º 1¸í´ç ³²¼º 2¸íÀÌ ticketÀ» ÆÈ¾Æ¾ß Æò±Õ°ú ÀÏÄ¡ÇÏ°Ô µË´Ï´Ù.

ÿ Á¤´äÀº (D)

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

ÀÌ¹Ì 15 °æ±â Áß¿¡¼-6°æ±â¸¦ ½Â¸®ÇÏ¿© 40%ÀÇ ½Â·üÀ» ±â·ÏÇÏ°í ÀÖÀ¸¸ç , ³ª¸ÓÁö °æ±â¿¡¼-
75%ÀÇ ½Â·üÀ» ±â·ÏÇÒ ¶§ ÀüÃ¼ °æ±âÀÇ ½Â·üÀÌ 60%°¡ µÈ´Ù°í ÇÕ´Ï´Ù . 40%ÀÇ ½Â·üÀ» ±â·ÏÇÏ°í
ÀÖ´Â 15°æ±â¿¡¼- ½Â·üÀÌ Æò±ÕÀÎ 60%°¡ µÇ±â À§ÇØ¼-´Â 3°æ±â¸¦ ´õ ÀÌ°å¾î¾ß µË´Ï´Ù . °á±¹
15°æ±â ÀÌ¿ÜÀÇ °æ±â¿¡¼-( n ) ½Â·üÀÌ 75%°¡ µÇ¸é ÀÌ´Â ÃÑ°æ±â¿¡ ´ëÇÑ Æò±Õ ½Â·ü 60%º¸´Ù
15%¸¸Å- »óÈ¸ÇÏ°í ÀÖ´Â °ÍÀÌ¸ç 15%´Â 3°æ±â¿¡¼-ÀÇ ½Â¸®¸¦ ÀÇ¹ÌÇÏ´Â °ÍÀÌ´Ù.
15
n× = 3 (°æ±â) e n = 20
100
ÇØ¼³ 2 ¶Ç ´Ù¸¥ ¹æ¹ýÀº nÀ» ³²Àº °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)ÀÔ´Ï´Ù.



35. In a quality control process it has been determined that all of the engines that fail inspection
1
are faulty, but approximately of the faulty engines pass inspection. If, in a group of 1,000
6
engines, 100 fail inspection, approximately how many faulty engines pass inspection?
(A) 16 (B) 20 (C) 50 (D) 70 (E) 120

ºÒ·® ¿£ÁøÀÇ 5/6ÀÌ °Ë»ç¸¦ Åë°úÇÏÁö ¸øÇßÀ¸¸ç ±× °³¼ö´Â 100°³ÀÌ´Ù.
ºÒ·®¿£Áø°³¼ö°¡ F°³¶ó¸é,
F × (5/6) = 100 , ÀüÃ¼ ºÒ·® ¿£Áø °³¼ö´Â 120°³ÀÌ´Ù.
ÿ Á¤´äÀº (B)

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, ±×·¯³ª ticketÀÌ 95%¸¸ ÆÇ¸Å µÇ¾ú±â ¶§¹®¿¡ ´ÙÀ½°ú °°´Ù.
0.95×(N×P) = 0.95×1.2C = 1.14C
ÿ Á¤´äÀº (C)

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 ti me, 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

¼Óµµ´Â 40miles ¿¡¼- 48miles ·Î º¯È-ÇÏ¿© 20% Áõ°¡ÇÏ¿´À¸¸ç, ½Ã°£Àº 5ºÐÀÌ ´ÜÃàµÇ¾ú½À´Ï´Ù .
Ãâ±Ù°Å¸®¸¦ D ¶ó°í ÇÏ¸é ´ÙÀ½ÀÇ ½ÄÀÌ ¼º¸³ÇÕ´Ï´Ù.
D = (¼Óµµ) × (ÁÖÇà½Ã°£),
Ãâ±Ù°Å¸®´Â º¯È-ÇÏÁö ¾Ê°í ¼Óµµ¿Í ½Ã°£¸¸ º¯È-ÇÑ °ÍÀÌ±â ¶§¹®¿¡ ¶ÇÇÑ ´ÙÀ½ÀÇ ½ÄÀÌ ¼º¸³ÇÕ´Ï
´Ù. D = S × H = 1.2 S × xH
5
À§ÀÇ ½ÄÀÌ ¼º¸³ÇÏ±â À§ÇØ¼-´Â 48miles·Î ´Þ¸± ¶§ ¼Ò¿äµÇ´Â ½Ã°£Àº H °¡ µÇ¾î¾ß ÇÏ°í , ÀÌ
6



1
·Î½á ¹ß»ýÇÏ´Â ½Ã°£ÀÇ Â÷ÀÌ H ´Â 40miles·Î Ãâ±ÙÇßÀ» ¶§¿Í 48miles·Î Ãâ±ÙÇßÀ» ¶§ ¹ß»ýÇÏ
6
´Â ½Ã°£ÀÇ Â÷ÀÌ 5ºÐÀÌ µÇ´Â °Í ÀÔ´Ï´Ù. °á±¹ 40 mileÀÇ ¼Óµµ·Î 30ºÐ°£ ÃÑ20mileÀÇ °Å¸®¸¦
´Þ¸° °ÍÀÔ´Ï´Ù.
ÇØ¼³ 2 µµÂøÇÏ°í ½ÍÀº ½Ã°£À» T¶ó °¡Á¤ÇÏ°í 12ºÐ°ú 7ºÐ ´Ê¾ú´Ù´Â °ÍÀº T¿¡ ´õÇØÁÖ´Â ½ÄÀ¸
·Î À¯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 °Å¸®¸¦ ±¸
ÇÒ ¼ö ÀÖÁÒ. ´Ü ¿©±â¼-´Â ´ÜÀ§´Â hours ÀÌ¹Ç·Î minutesÀ» hours·Î ¹Ù²ã¾ß°Ú³×¿ä!!!

ÿ Á¤´äÀº (A)ÀÔ´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±Õ 5 miles ´õ »¡¸® ±×¸®°í ÁÖÇà ½Ã°£À» ÇÑ ½Ã°£ Áõ°¡ÇÏ¸é 70miles¸¦ ´õ °¡°Ô µÈ´Ù°í ÇÕ´Ï
´Ù. ½ÇÁ¦·Î ¿îÇàÇÑ ½Ã°£À» h , ½ÇÁ¦ ¼Óµµ¸¦ s ¶ó ÇÏ¸é ´ÙÀ½ ½ÄÀÌ ¼º¸³ÇÕ´Ï´Ù : h × s = D¶ó
°¡Á¤ÇÏ¸é ] (s + 5) × (1 × h ) = D + 70 (miles) h × s = D ÀÌ¹Ç·Î ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é
S + 5 h = 65À» ±¸ÇÒ ¼ö ÀÖ´Ù. ±× ´ÙÀ½Àº 10miles ´õ »¡¸® ±×¸®°í 2½Ã°£ ´õ ÁÖÇàÇÑ´Ù¸é,
(s + 10) × (2 × h ) = D + X , ¿©±â¼- ±¸ÇÒ °ªÀº XÀÌ°í, j h × s = D ÀÌ°í, k S + 5 h = 65
j°úkÀ» ÀÌ¿ëÇØ À§ÀÇ ½ÄÀ» Á¤¸®ÇÏ¸é X °ªÀ» ±¸ÇÒ ¼ö ÀÖ½À´Ï´Ù.
ÿ Á¤´äÀº (D)ÀÔ´Ï´Ù.

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?
1 1
(A) 16% (B) 36% (C) 37 % (D) 45% (E) 56 %
2 4

°Å¸®(distance) = ¼Óµµ(speed) × ½Ã°£(time), ½Ã°£ = °Å¸® / ¼Óµµ = 0.8°Å¸® / 5/4 ¼Óµµ
ÿ Á¤´äÀº (B)



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 ?
1 1
(A) 30% (B) 33 % (C) 37 % (D) 40% (E) 50%
3 2

¿ø·¡ ¿ë¾× Y ÀÇ ±¸¼º: liquid 30%, water 70% ±¸¼ºµÊ
](1) 8 kilogramsÀÇ Y ¿ë¾×¿¡¼- ¹°¸¸ 2 Kg Áõ¹ßµÈ ÈÄ ¿ë¾× Y :
Liquid X ÀÇ Áú·® : 8( Kg ) × 0.3 = 2.4( Kg ) (º¯ÇÏÁö ¾ÊÀ½)
¹°ÀÇ Áú·® : 5.6 Kg (= 8kg × 70%) − 2 Kg = 3.6Kg (2 Kg Áõ¹ß)
](2) Ã·ºÎÇÒ 2 Kg solution Y ÀÇ ±¸¼º
Liquid X ÀÇ Áú·® : 2( Kg ) × 0.3 = 0.6( Kg )
¹°ÀÇ Áú·® : 2( Kg ) × 0.7 = 1.4( Kg )
](3) ³²¾ÆÀÖ´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·® : 2.4( Kg ) + 0.6( Kg ) = 3.0( Kg )
¹°ÀÇ Áú·® : 3.6( Kg ) + 1.4( Kg ) = 5.0( Kg )
3.0 75
Liquid XÀÇ percent = × 100 =
8.0 2

ÿ Á¤´äÀº (C)ÀÔ´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·Á¸é 0.15 gallonÀÌ ÀüÃ¼ ¿ë¾× 1.5gallonÀÇ 10%¸¦ Â÷ÁöÇÏ¸é µÇ¹Ç
·Î ÇÊ¿äÇÑ ¿ë¾×Àº 0.50ÀÌ µÈ´Ù.

ÿ Á¤´äÀº (A)



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?
1 1 2 5 17
(A) (B) (C) (D) (E)
6 3 3 6 18

ÃÑ ÁÂ¼® ¼ö : 180°³ ( ÇÑ ÁÙ¿¡ 6 ÁÂ¼®¾¿ 30 ÁÙ )
ºñÇà±â ³¯°³¿¡ ÀÇÇØ °æÄ¡°¡ º¸ÀÌÁö ¾Ê´Â ÁÂ¼® ¼ö : 30 ÁÂ¼®
°æÄ¡°¡ º¸ÀÌ´Â ÁÂ¼®¿¡ ¾É°Ô µÉ È®·ü : 150 / 180

ÿ Á¤´äÀº (C)

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÷ rentalÈ¸»çÀÇ ÁÖÂ÷Àå¿¡ ÀÖ°í ºô·Á ÁØ Â÷ÀÇ 50%°¡ Åä¿äÀÏ
¾ÆÄ§ Àü±îÁö È¸¼öµÇ¾î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÖ¼Ò 12´ëÀÇ truckÀÌ ÀÖÀ» ¶§ ÁÖÁß¿¡ ´ë¿© µÇ¾ú´ø Â÷
ÀÇ ¼ö¸¦ ¹¯°í ÀÖ´Â ¹®Á¦ÀÔ´Ï´Ù.
Åä¿äÀÏ ¾ÆÄ§ Àü±îÁö ´ë¿© µÇ¾ú´ø Â÷ÀÇ 50%°¡ È¸¼öµÇ´Â °ÍÀÌ¹Ç·Î ºô·ÁÁØ ÀÚµ¿Â÷ÀÇ ´ë¼ö´Â
¿ì¼± Â¦¼öÀÌ¾î¾ß ÇÕ´Ï´Ù.
¸¸¾à 18´ë°¡ ÁÖÁß¿¡ ´ë¿© µÇ¾ú´Ù¸é Åä¿äÀÏ ¾ÆÄ§±îÁö 9´ë°¡ ¹Ý³³µÇ¾î Áú °ÍÀÌ°í ´ë¿©µÇÁö ¾Ê
°í ÁÖÂ÷Àå¿¡ ÀÖ´ø Â÷ 2´ë¿Í ÇÔ²² 11´ëÀÇ Â÷°¡ Åä¿äÀÏ ¾ÆÄ§¿¡ ÀÖ¾î¾ß ÇÕ´Ï´Ù. ±×·¯¹Ç·Î 18Àº
´äÀÌ ¾Æ´Õ´Ï´Ù . 16´ë°¡ ´ë¿© µÇ¾ú´Ù¸é 8°³°¡ ¹Ý³³µÇ¾îÁö°í ÁÖÂ÷Àå¿¡ 4´ëÀÇ Â÷°¡ ÀÖ¾úÀ» °ÍÀÌ
¹Ç·Î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÑ12´ëÀÇ Â÷°¡ ÁÖÂ÷Àå¿¡ ÀÖ°Ô µË´Ï´Ù.

ÿ Á¤´äÀº (B)



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

°í¼Óµµ·Î¿¡¼- per gallon ´ç °¡´Â °Å¸®¸¦ x ¶ó ÇÏ¸é: 462 336 ⇒ x = 22
=
x x −6

µû¶ó¼- ½Ã³»¿¡¼-ÀÇ per gallon´ç °¡´Â °Å¸®´Â 22 − 6 = 16
ÿ Á¤´äÀº (B)

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 o f 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 °Å¸®¸¦ Ã³À½ 12ºÐ°£Àº 30mile·Î, ³ª¸ÓÁö °Å¸®´Â 8mileÀÇ ¼Óµµ·Î ´Þ·ÈÀ» ¶§ 20mileÀ»
¿ÏÁÖ ÇÏ´Âµ¥ ¼Ò¿äµÈ ½Ã°£À» ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
12ºÐÀº 1/5½Ã°£ÀÔ´Ï´Ù. 30mileÀÇ ¼Óµµ·Î 12ºÐ°£ 6mileÀ» ´Þ¸° °ÍÀÌ°í ³ª¸ÓÁö °Å¸® 14mileÀº
8mileÀÇ ¼Óµµ·Î ´Þ¸° °Í ÀÔ´Ï´Ù. 14mileÀÇ °Å¸®¸¦ ¼Óµµ 8mile·Î ³ª´©¾î ÁÖ¸é ¼Ò¿äµÈ ½Ã°£ÀÌ
1(3/4)°¡ ³ª¿É´Ï´Ù. 12ºÐ°ú 1(3/4)½Ã°£ °ð 105ºÐÀ» ´õÇÏ¿© ÁÖ¸é 117ºÐÀÌ ´äÀÌ µË´Ï´Ù.

ÿ Á¤´äÀº (C)

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» ÁÖ´ç $75¿¡ nÁÖ ¸Å¼öÇÏ¿© 60%´Â $120¿¡ ³ª¸ÓÁö´Â $70¿¡ ¸ÅµµÇÏ
¿´À» ¶§ ¼öÀÍÀÌ $7,500ÀÌ¿´À» ¶§ ±¸ÀÔÇÑ ÁÖ½ÄÀÇ ¼ö¸¦ ¹°¾î º¸°í ÀÖ½À´Ï´Ù . ¿¬¸³½ÄÀ» ±¸ÇÏ¿©
¹®Á¦¸¦ Ç® ¼ö ÀÖ½À´Ï´Ù.
$45× (3/5)n + $5(2/5) =$7,500

ÿ Á¤´äÀº (B)



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

1982³â¿¡ ¸Å ´Þ $10,000ÀÇ ¼Õ½ÇÀÌ ¹ß»ýÇß°í 1983³â 1/4ºÐ±â µ¿¾È¿¡ ¸Å´Þ $4,000¾¿ ¼öÀÍÀÌ ¹ß
»ý ÇßÀ» ¶§ ’82,’83³â µÎ ÇØ µ¿¾È¿¡ break evenÇÏ±â À§ÇÏ¿© ’83³â ³ª¸ÓÁö ±â°£ µ¿¾È¿¡ ¾ó¸¶¸¸
Å-ÀÇ ¼öÀÍÀÌ ¹ß»ýÇØ¾ß ÇÏ´ÂÁö¸¦ ¹°¾î º¸°í ÀÖ´Ù.
’82³âµµ ÃÑ¼Õ½ÇÀº $ 120,000ÀÌ°í ’83³âµµ 1/4ºÐ±â ÃÑ¼öÀÍ $12,000ÀÌ¹Ç·Î break even ÇÏ±â À§
ÇØ¼-´Â ³ª¸ÓÁö ±â°£ µ¿¾È¿¡ ¸Å´Þ $108,000/8(´Þ) ¸¸Å-ÀÇ ¼öÀÍÀ» ¿À·Á¾ß ÇÑ´Ù.
ÿ Á¤´äÀº (C)

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 ÆÈ¸° ÈÄ Ãß°¡·Î ÆÈ¸° Ã¥
ÀÓÀ» ÁÖÀÇ
ÿ Á¤´äÀº (D)

1
49. For each hour worked in excess of 40 hours per week, a mechanic is paid 1 times her
2
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)¹è¸¦ ÁöºÒÇÒ ¶§, 52½Ã°£
À» ±Ù¹«ÇÏ¿´À» ¶§ ¹Þ´Â ±Þ·á´Â ÃÊ°ú½Ã°£±Ù¹«¸¦ ÇÏÁö ¾Ê°í ¸î ½Ã°£À» ÀÏÇÒ ¶§ ¹Þ´Â ±Þ·á¿Í
°°Àº Áö¸¦ ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
ÃÊ°ú±Ù¹«¿¡ ´ëÇÏ¿©´Â 1(1/2)¹èÀÇ ±Þ·á¸¦ ¹Þ°í ÀÖ±â ¶§¹®¿¡ Á¤»ó±Ù¹«ÀÇ 2/3½Ã°£¸¸À» ÀÏÇÏ°íµµ
Á¤»ó±Ù¹«½Ã°£¿¡ ¹Þ´Â ±Þ·á¸¦ ¹ÞÀ» ¼ö ÀÖ½À´Ï´Ù. ±×·¯¹Ç·Î ÃÊ°ú½Ã°£ ±Ù¹« 1½Ã°£Àº Á¤»ó±Ù¹«
½Ã°£ÀÇ 3/2¹èÀÎ °ÍÀÔ´Ï´Ù.
¹®Á¦¿¡¼- 12½Ã°£À» ÃÊ°ú±Ù¹« ÇÏ¿´±â ¶§¹®¿¡ ÀÌ¸¦ Á¤»ó±Ù¹«½Ã°£À¸·Î È¯»êÇÏ¸é 18½Ã°£ÀÌ µË´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 °ÍÀÔ´Ï´Ù.
ÿ Á¤´äÀº (A)



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

50% ±¸µ¶ÀÚ°¡ corporate managerÀÌ¸ç, ÀÌµé Áß 30%°¡ finance ºÐ¾ß¿¡¼- ÀÏÇÑ´Ù°í ÇÑ´Ù. finance
ºÐ¾ß¿¡¼- ÀÏÇÏ´Â corporate managerÁß 40%°¡ money managerÀÏ °æ¿ì, 25,000¸íÀÇ ±¸µ¶ÀÚ Áß
finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â corporate money manager´Â ¸î ¸íÀÎ°¡¸¦ ¹°¾î º¸°í ÀÖ´Ù.
Finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â Corporate manager ÀÇ ºñÀ²: 50% × 30 %
finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â corporate money manager ÀÇ ºñÀ²: 50% × 30 %× 40%
µû¶ó¼- 25,000× 50% × 30 %× 40% = 1,500
ÿ Á¤´äÀº (A)

1
51. Reggie had to type 90 letters. During the first day he typed of the letters, and during the
3
2
second day he typed of the remaining letters. How many letters were still untyped at the
5
end of the second day?
(A) 36 (B) 32 (C) 24 (D) 18 (E) 12

Ã¹ ¹øÂ° ³¯ : (1/3) × 90
µÎ ¹øÂ° ³¯ : 60 × (2/5)
¸¶Áö¸· ³¯ : 90 – (30+24) = 36
ÿ Á¤´äÀº (A)

1
52. One karat signifies that of an alloy is pure gold. If a certain ring is 14-karat gold,
24
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» ÀÇ¹Ì
14-karat goldÀº È¥ÇÕ¹°ÀÇ 14/24°¡ ¼ø±Ý.
ÿ Á¤´äÀº (C)



1 1
53. At a certain pizzeria, of the pizzas sold in one week were mushroom and of the
8 3
remaining pizzas sold were pepperoni. If n of the pizzas sold were pepperoni, how many
were mushroom?
3 3 7 7
(A) n (B) n (C) n (D) n (E) 3n
8 7 16 8

ÆÇ¸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
ÿ Á¤´äÀº (B)

3
54. Beth received of the votes cast in a certain election. What fraction of the other votes
10
1
cast would she have needed in order to have received of the votes cast?
2
1 2 3 7 1
(A) (B) (C) (D) (E)
5 7 10 20 2

¼±°ÅÀÇ °á°ú°¡ 1/2°¡ µÇ±â À§ÇØ¼-´Â 2/10ÀÇ Ç¥°¡ ´õ ÇÊ¿äÇÕ´Ï´Ù.
(7/10) × X = 2/10
ÿ Á¤´äÀº (B)

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

80³âµµºÎÅÍ 84³â±îÁö ¸Å³â 700¸í¾¿ ±Ù·ÎÀÚ°¡ °¨¼ÒÇÏ´Â »óÈ² ÇÏ¿¡¼- 84³âµµ ±Ù·ÎÀÚÀÇ ¼ö°¡
80³âµµÀÇ 80%ÀÏ ¶§ 84³âµµ ±Ù·ÎÀÚÀÇ ¼ö¸¦ ±¸ÇÏ¶ó´Â ¹®Á¦ÀÔ´Ï´Ù.
80³â¿¡¼- 84³â±îÁö ¸Å³â 700¸í¾¿ ±Ù·ÎÀÚ°¡ °¨¼Ò Çß±â ¶§¹®¿¡ ÃÑ 2,800¸íÀÇ ±Ù·ÎÀÚ°¡ °¨¼Ò
Çß´Ù´Â »ç½ÇÀ» ¾Ë ¼ö ÀÖ½À´Ï´Ù. ¶ÇÇÑ 84³âµµÀÇ ÃÑ±Ù·ÎÀÚ°¡ 80³âµµ ±Ù·ÎÀÚÀÇ 80%¶ó°í Çß±â
¶§¹®¿¡ °¨¼ÒÇÑ ±Ù·ÎÀÚ 2,800¸íÀº 80³âµµ¿¡ °í¿ëµÇ¾î ÀÖ´ø ±Ù·ÎÀÚÀÇ 20%ÀÓÀ» ¾Ë ¼ö ÀÖ½À´Ï
´Ù : 80³â ÀüÃ¼ ±Ù·ÎÀÚ ¼ö e 4³â ÈÄ e (80³â ±Ù·ÎÀÚ ¼ö) × 0.8(=80%), Áï 4³â µ¿¾È ±ÙÀÚÀÚ ¼ö



ÀÇ 20% °¡ ÁÙ¾î´Ù´Â ÀÇ¹Ì³×¿ä.
°á±¹ 80³âµµ¿¡ °í¿ëµÇ¾î ÀÖ´ø ±Ù·ÎÀÚ ¼ö( x )´Â ½Ä¨ç°ú °°ÀÌ ±¸ÇÒ ¼ö ÀÖÀ¸¸ç,
¨ç x × 0.2 = 2,800 ⇒ X = 14,000¸í
84³âµµ¿¡ °í¿ëµÇ¾î ÀÖ´Â ±Ù·ÎÀÚÀÇ ¼ö´Â ½Ä¨è¿Í °°ÀÌ ±¸ÇÒ ¼ö ÀÖ½À´Ï´Ù.
¨è 14,000 × 0.8(80%) = 11,200
ÿ Á¤´äÀº (C)ÀÔ´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) 200x (B) 360x (C) 720x (D) 2,400x (E) 28,800−144x

(240 cm × 120 cm) / (12×12) = 200
Á÷»ç°¢ÇüÀÇ ¸¶·ç¸¦ Àå½ÄÇÏ´Âµ¥ 200°³ÀÇ Å¸ÀÏÀÌ ÇÊ¿äÇÏ¸ç marble tile·Î Àå½ÄÀ» ÇÏ±â À§ÇÑ °³
´ç °¡°ÝÀÌ terra-cotta tileÀÇ °¡°Ýº¸´Ù x cents ¸¸Å- ³ô±â ¶§¹®¿¡ Á¤´äÀº (A)ÀÔ´Ï´Ù.
ÿ Á¤´äÀº (A)

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¬¾îÁý´Ï´Ù.
N1(6 machines) ×H1(8 hours) = N2(5 of these machines) × H2(?) : µ¿ÀÏÇÑ ÀÏÀ» ÇÏ¹Ç·Î “=”ÀÓ
ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é H2= 48/5ÀÌ´Ù . µû¶ó¼- 48/5¿¡¼- 8 hours À» »©ÁÖ¸é 5 machines ÀÌ ¾ó¸¶¸¸Å-
ÀÇ ½Ã°£ÀÌ ´õ °É¸®´ÂÁö °è»êÇÒ ¼ö ÀÖ´Ù. 48/5 – 8 = 8/5 hoursÁÒ. Hours¸¦ minutesÀ¸·Î ¹Ù²Ù¸é
(8/5) × 60 = 96 minutes,
ÇØ¼³2 µ¿ÀÏÇÑ ÀÛ¾÷ ¼Óµµ·Î(at the same constant rate) ÀÏÇÏ´Â 6´ëÀÇ ±â°è°¡ Æ¯Á¤ÇÑ ÀÛ¾÷À» ¿Ï¼ö
ÇÏ´Âµ¥ 8½Ã°£ÀÇ ½Ã°£ÀÌ ¼Ò¿äµÉ ¶§, 5°³ÀÇ ±â°è¸¸ÀÌ ÀÛ¾÷À» ¼öÇàÇÒ ¶§ Ãß°¡ÀûÀ¸·Î ¼Ò¿äµÇ´Â
½Ã°£Àº(ºÐ´ÜÀ§·Î) ¾ó¸¶ÀÎÁö¸¦ ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
6´ëÀÇ ±â°è°¡ ÀÛ¾÷À» ¿Ï¼öÇÏ´Âµ¥ °É¸®´Â ½Ã°£ÀÌ 8½Ã°£ÀÌ±â ¶§¹®¿¡ 1½Ã°£ µ¿¾È¿¡ ¿Ï¼öÇÏ´Â
ÀÛ¾÷ÀÇ ¾çÀº 1/8ÀÌ¸ç, ÇÑ ´ëÀÇ ±â°è°¡ ¿Ï¼öÇÏ´Â ÀÏÀÇ ¾çÀº 1/48 ÀÔ´Ï´Ù.
6´ëÀÇ ±â°è°¡ ¾Æ´Ñ 5´ëÀÇ ±â°è°¡ ÀÏÇÒ °æ¿ì¿¡µµ ±â°è°¡ 1½Ã°£¿¡ ¿Ï¼öÇÏ´Â ÀÛ¾÷·®ÀÎ 1/48Àº
º¯ÇÏÁö ¾Ê½À´Ï´Ù. ÀÌÁ¦ 5´ëÀÇ ±â°è°¡ ÀÏÇÏ±â ¶§¹®¿¡ 1½Ã°£µ¿¾È¿¡ ¿Ï¼öÇÏ´Â ÀÛ¾÷·®Àº 5/48ÀÌ



¸ç ÀÛ¾÷À» ¿Ï¼öÇÏ´Âµ¥ ¼Ò¿äµÇ´Â ½Ã°£Àº ÃÑ 48/5½Ã°£ÀÔ´Ï´Ù. ¹®Á¦¿¡¼-´Â 8½Ã°£º¸´Ù ¸î ºÐÀÌ
´õ ¼Ò¿ä µÇ´ÂÁö¸¦ ¹°¾î º¸°í ÀÖ±â ¶§¹®¿¡ ´ÙÀ½ÀÇ °è»êÀ» ÇØÁÖ¾î¾ß ÇÕ´Ï´Ù.

(8 × 60) − ( 48 × 60) = 96
5

ÿ Á¤´äÀº (E)

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?
1 1 1 1 1
(A) (B) (C) (D) (E)
12 6 4 3 2

¹°À» Ã¤¿ì´Â ÆÄÀÌÇÁ·Î(an inlet pipe) ¹°À» Ã¤¿ì´Âµ¥ 3½Ã°£ ¼Ò¿äµË´Ï´Ù.
Ý 1½Ã°£µ¿¾È an empty poolÀ» 1/3ÀÌ Ã¤¿ö ³ª°©´Ï´Ù.
¹°À» ¹èÃâÇÏ´Â ÆÄÀÌÇÁ·Î(an outlet pipe) ¹°À» ºñ¿ì´Âµ¥ 4½Ã°£ ¼Ò¿äµË´Ï´Ù
Ý 1½Ã°£µ¿¾È a full poolÀ» 1/4ÀÌ ºñ¿ö ³ª°©´Ï´Ù.
¸¸¾à ¹°ÀÌ Ã¤¿öÁö´Â µ¿½Ã¿¡ ¹°ÀÌ ºñ¿öÁö´Â °æ¿ì ÇÑ ½Ã°£ µ¿¾È¿¡ Ã¤¿öÁö´Â ¹°ÀÇ ¾çÀº ´ÙÀ½½Ä
¿¡ µû¶ó °è»êÇÕ´Ï´Ù.
1  1   1 
 −   =  
 3 4   12 

ÇÑ ½Ã°£ÀÌ Áö³ª¸é 1/3ÀÇ ¹°ÀÌ Ã¤¿öÁö°í, 1/4 ¹°ÀÌ ºüÁ® ³ª°¡´Ï±î ³²´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 ÀÖÀ¸¹Ç·Î ÇÑ ½Ã°£µ¿¾È¿¡ Ã¤
¿öÁö´Â ¹°ÀÇ ¾ç¿¡ 2½Ã°£À» °öÇØ ÁÖ¾î¾ß ÇÕ´Ï´Ù .⇒ (1/12)×2 = 1/6

ÿ Á¤´äÀº (B)ÀÔ´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 many
hours can S , working alone, complete one of these jobs?
(A) 18 (B) 12 (C) 9 (D) 6 (E) 3

R : 9½Ã°£ °É·Á ÀÛ¾÷ ¿Ï¼ö 1½Ã°£¿¡ 1/9ÀÛ¾÷ ¿Ï¼ö
R°ú S°¡ µ¿½Ã¿¡ °°ÀÌ ÀÏÇÒ °æ¿ì 6½Ã°£ ¼Ò¿ä
RÀº 6½Ã°£ µ¿¾È ÀÛ¾÷·®ÀÇ 2/3¸¦ ¿Ï¼ö ÇÔÀ¸·Î S°¡ ³ª¸ÓÁö 1/3À» 6½Ã°£ µ¿¾È ¿Ï¼öÇÑ´Ù.
°á±¹ S´Â ½Ã°£´ç 1/18¸¸Å-¾¿ ÀÏÀ» ÇÑ´Ù.
ÿ Á¤´äÀº (A)



60. Machines A, B, and C working together, but independently, at their respe ctive constant
1
rates can do a certain job in 1 hours. If A alone can do the job in 5 hours, and B
2
alone can do the job in 3 hours, in how many hours can C alone do the job?
1 1 1
(A) 1 (B) 2 (C) 3 (D) 5 (E) 7
3 7 2

(A+B+C) 1(1/2) hours ½Ã°£´ç 2/3¸¸Å-¾¿ ÀÛ¾÷·® ¿Ï¼ö
±â°è A : ½Ã°£´ç 1/5¸¸Å-¾¿ ÀÛ¾÷·® ¿Ï¼ö 1(1/2)½Ã°£µ¿¾È 3/10 ¿Ï¼ö
±â°è B : ½Ã°£´ç 1/3¸¸Å-¾¿ ÀÛ¾÷·® ¿Ï¼ö 1(1/2)½Ã°£µ¿¾È 1/2 ¿Ï¼ö
±â°è C : 3/2½Ã°£µ¿¾È 1/5 ¿Ï¼ö ÇÏ¿©¾ß ÇÔ. 1(1/2)½Ã°£µ¿¾È 3/10 ¿Ï¼ö
ÿ Á¤´äÀº (E)

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 X´Â ¸Å 12ºÐ¸¶´Ù, Bell Y ¸Å 14ºÐ¸¶´Ù , Bell Z 15ºÐ¸¶´Ù ¿ï¸± ¶§ 3°³ÀÇ º§ÀÌ µ¿½Ã
´Â ´Â
¿¡ ¿ï¸®°í ´Ù½Ã µ¿½Ã¿¡ ¿ï¸®±â À§ÇØ¼-´Â ¸î ºÐÀÇ ½Ã°£ÀÌ Èê·¯¾ß ÇÏ´ÂÁö¸¦ ¹°¾î º¸°í ÀÖ´Ù.
ÃÖ¼Ò°ø¾à¼ö¸¦ ±¸ÇÏ´Â °Í°ú °°ÀÌ Ç®¸é µÈ´Ù.
ÿ Á¤´äÀº (C)

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

x = − 810 , 000 , 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

ÀÚ¸´¼ö¸¦ Ç¥½ÃÇÏ´Â µ¥´Â 4ºñÆ®, ¾ç¼öÀÎÁö À½¼öÀÎÁö¸¦ Ç¥½ÃÇÏ´Â µ¥´Â 1ºñÆ®°¡ ÇÊ¿äÇÏ´Ù°í ¸»
ÇÏ°í ÀÖ½À´Ï´Ù.
X = - 810,000 = - 900

ÿ Á¤´äÀº (D)



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 are
on the same science?
(A) 81 (B) 159 (C) 166 (D) 285 (E) 324

supply room¿¡ 5Á¾·ùÀÇ Ã¥ÀÌ ÀÖ°í, supply roomÀ¸·ÎºÎÅÍ ÀÓÀÇ·Î Ã¥À» ¿Å±æ ¶§ ¿Å°ÜÁø Ã¥ Áß
80±ÇÀÇ Ã¥ÀÌ °°Àº Á¾·ùÀÇ Ã¥ÀÌ±â À§ÇØ¼-´Â ¸î ±ÇÀÇ Ã¥ÀÌ ¿Å°ÜÁö¸é µÇ´ÂÁö¸¦ ¹°¾î º¸°íÀÖ½À
´Ï´Ù.
ÀÏ´Ü 80±Ç ¹Ì¸¸ÀÎ ºÐ¾ßÀÇ Ã¥À» ¸ðµÎ ¿Å±â¸é , Botany 50±Ç ,zoology 65±Ç, geology 50±Ç ÃÑ 165±Ç
ÀÔ´Ï´Ù. ±× ´ÙÀ½¿¡ 80±ÇÀÌ ³Ñ´Â ºÐ¾ßÀÇ Ã¥µé Áß¿¡¼- physics 79±Ç,chemistry 79±ÇÀÌ ¿Å°Ü¿À¸é
supply room¿¡´Â physics¿Í chemistry¿¡ °ü·ÃµÈ Ã¥¸¸ÀÌ ³²°ÜÁö°Ô µË´Ï´Ù . ¿©±â¼- ÇÑ ±ÇÀÇ Ã¥À»
¿Å±â¸é physics ¶Ç´Â chemistry¿¡ »ó°ü ¾øÀÌ ¿Å°ÜÁø Ã¥ Áß ÇÑ Á¾·ùÀÇ Ã¥ÀÌ Á¤È®È÷ 80±ÇÀÌ µÇ
¾îÁý´Ï´Ù. ¿¹¸¦ µé¸é ¿Å°ÜÁø Ã¥ÀÌ physicsÀÏ °æ¿ì physics°¡ 80±ÇÀÌ µÇ¸ç, ¿Å°ÜÁø Ã¥ÀÌ
chemistryÀÏ °æ¿ì chemistry°¡ 80±ÇÀÌ µË´Ï´Ù.
¸ðµÎ Á¤¸®ÇÏ¸é 165±Ç + 79±Ç + 80±Ç = 324±Ç

ÿ Á¤´äÀº (E)

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

3 points¿Í 2 points¸¦ ÇÕÇÏ¿© 24°¡ µÇ¾î¾ß ÇÏ¹Ç·Î 3 X + 2 Y = 2 4
¿©±â¼- X·Î ÃëµæÇÑ Á¡¼ö´Â ¾ðÁ¦³ª Â¦¼ö°¡ (0, 6, 12, 18, 24) µÇ¾î¾ß ÇÑ´Ù. ¿Ö³ÄÇÏ¸é Â¦¼ö¿Í Â¦
¼öÀÇ ÇÕÀÌ Ç×»ó Â¦¼ö 24°¡ µÇ¾î¾ß ÇÏ¹Ç·Î 2 Y ´Â Ç×»ó Â¦¼öÀÌ¹Ç·Î 3 X °¡ Â¦¼ö°¡ µÇ´Â °æ
¿ì°¡ »ý°¢ÇÏ¸é µË´Ï´Ù. Áï X = 0, 2, 4, 6, 8

ÿ Á¤´äÀº (B)


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