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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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GRE Math °-ÁÂ Set 8-1
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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
answer
answer
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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 3
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
answer
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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 4
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
answer
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GRE Math °-ÁÂ Set 8-1
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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
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
answer
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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GRE Math °-ÁÂ Set 8-1
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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
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
answer
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GRE Math °-ÁÂ Set 8-1
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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
answer
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
answer
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
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
answer
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
answer
answer
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¼öÇÐÇؼ³ 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  12º Ð 30ÃÊ, ´ ٽà 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¿¡ ´  750 gallonÀÌ Áõ°¡ ÇßÁÒ. ÀÌ ¾çÀº Àüü
ÅÊÅ©ÀÇ capacityÀÇ 1/3À» ä¿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  Á¡ ÀỐ Ï ´ Ù. ¿©±â¼ ´  the amount paid for the first quartÀÇ what
fractionÀ» ¹ ¯´  °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
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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 Àüü Çлý¼ö´  200¸ í ÀỐ Ï ´ Ù.
ÿ Á¤´ äÀº (D)
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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
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° ¡ ÀÏ Á¤ÇÑ Á¶° Ç ÇÏ ¿¡ ¼ ù ÁÖ́  $198À» µÎ ¹ ø° ÁÖ¿¡ ´  $220À» ¹ ú¾úÀ̧ ¸ ç, µÎ ¹ ø
° ÁÖ¿¡ ´Â 4½Ã°£À» ´ õ ÀÏ Çß´ Ù°í ÇṌ Ï ´ Ù. ½Ã°£´ç ±Þ· Ḡ¦ 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 ´  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.
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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  µÎ °³ ÀÇ ¿ì Ç¥¸ ¦ º Î Ä¡ ´ µ¥ 36°³ ÀÇ ¿ì Ç¥¸ ¦ »ç¿ëÇß´Ù. µÎ °³ ÀÇ ¿ì Ç¥
¸ ¦ º Πģ 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 Πģ º ÀÅõ´Â 16°³ ÀỐ 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´  $15,000¿´ ´ µ¥ ÀÛ¾÷°øÁ¤¿¡ · Î º ¸ Æ®°¡ µµÀÔµÈ ÈÄ
production cost´  $600,000À̧ · Î °¨ ¼ÒÇÏ °í nonproduction cost $65,000· Î º ¯ÇßÀ» ¶§ º ñ¿ëÀüü °¨
¼Ò̧ ¦ ±¸ÇÏ ¶ó´  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.
ÿ Á¤´ äÀº (B)
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´  ¹ ö½º · Î ±×̧ ®°í ³ ª ¸ ÓÁö 8Km´  ÀÚµ¿Â÷̧ ¦ ÀÌ ¿ëÇÑ́ Ù°í ÇÒ ¶§ ±â¼÷»ç¿¡¼
µµ½Ã±î ÁöÀÇ °Å̧ ®̧ ¦ ¹ °¾î º ¸ °í ÀÖ́ Ù.
Àüü°Å̧ ®̧ ¦ D¶ó °¡ Á¤ÇÏ °í Ç®̧ é : D – (1/5D+2/3D)= 8 (Km)
ÿ Á¤´ äÀº (C)
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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» »¡ ¸ ® ±̧ Çϱâ À§
Çؼ ´  3° ú 4ÀÇ ÃÖ¼Ò°ø¹ è¼öÀÎ 12¸ ¦ ±¸ ÇÏ ¿© Ç®̧ é º ü¸ £°Ô Ç® ¼ö ÀÖ́ Ù.
±¸ ÀԽà : 12 pounds $ 2
ÆÇ̧ Žà : 12 pounds $ 3
±×· ¯¹ Ç· Î 12 pound¸ ¦ ÆÇ̧ ÅÇÒ ¶§ ¸ ¶´ Ù $1¸ ¸ Å ¼öÀÍ À» ¿Ã̧ °´ 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 ³ ª ´ ©¾î ÁÙ ¶§, Å« ¾ÆµéÀÌ $15,000, µÑ°°¡ $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 »´  ±× Àü¿¡ $2,000À» ¹ Þ¾ÒÀ̧ ¹ Ç· Î $46,000 - $2,000 = $44,000À» estate¿¡ ¼ ¹ Þ¾Ò½À́ Ï ´ Ù.
ÿ Á¤´ äÀº (D)
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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 · 絿¾È À½½Ä¿¡ ¾² ´  °æº ñ´Â
5$43
60$ =×− adultsday
, 7¸ í ÀÌ 5ÀÏ µ¿¾È À½½Ä¿¡ ÁöÃâÇÏ ´  µ·Àº $5×7 adults ×5-day = $175
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 ÀÖ́  ºÎ º ÐÀÇ Àǹ Ì ´  ¼¼±Ý³ ³ ¼¼ÀÚ°¡ Àϳ â Áß resident· μ ±× ÁÖ¿¡ ¼ »ê
±â°£¸ ¸ Å ¼¼±ÝÀ» ° è»êÇÑ́ Ù́  Àǹ Ì ÁÒ. Àϳ â Áß 8°³ ¿ùÀ» ¾î ¶² ÁÖ¿¡ ¼ »ì ¾Ò́ Ù̧ é Àüü ¼¼±ÝÀÇ
12
8¸ ¸ Å ¸ ¸ ³ ³ ¼¼ÇÏ ¿© µÈ́ Ù́  ¶æÀỐ Ï ´ Ù.
ÿ Á¤´ äÀº (C)
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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
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) 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  ³ »¿ëÀỐ Ï ´ Ù.´ ÜÀ§¸ ¦ ÁÖÀÇÇÏ ¿©
¹ ®Á¦ ¸ ¦ ÇØ°áÇØ¾ß ÇṌ Ï ´ Ù.
Cent¸ ¦ $´ ÜÀ§· Î ° í Ä¡ ¸ é 30cent´  $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°£ ¸ ¸ ¿¡ ä¿ö Áú ¶§ ù x½Ã°£ µ¿¾È¿¡ ä¿ì Áö́  ÅÊÅ©ÀÇ º ñÀ²
À» ±¸ÇÏ ¶ó´  ¹ ®Á¦ ÀỐ Ï ´ Ù.
ÅÊÅ©́  ÇÑ ½Ã°£´ ç ¾ó¸ ¶ ¸ ¸ Å½Ä Ã¤¿öÁú±î ¿ä.t
1 ¸ ¸ Å ¾¿ ä¿öÁöÁÒ.±×· ¡ ¾ß¸ ¸ ÀÌ t½Ã°£ÀÌ Áö³ ª ¾ß
Áö Àüü°¡ ä¿öÁö°ÚÁÒ.
ÿ Á¤´ äÀº (A)
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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 ÀÇaveragé 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™∩∉÷
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)
(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» °¡ ´  ±âÂ÷°¡ t minutes ÈÄ ¸ î kilometersÀ» °¡ ´ ÂÁö¸ ¦ ±¸ ÇÏ ´  ¹ ®Á¦ ³ ׿ä.
K metersÀ» 1,000À̧ · Î ³ ª ´ « ÈÄ ´ ٽà 60À» ° öÇØÁÖ̧ é Á¤´ äÀ» ±¸ ÇÒ ¼ö ÀÖ³ ׿ä.
ÿ Á¤´ äÀº (A)
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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´  5¿¡ ÇÑ ¹ ø¾¿ ½®́ Ù́  Àǹ Ì ÀỐ Ï ´ Ù. ÀÌ ¹ ®Á¦ ´  ½ÇÁ¦ · Î ±×̧ ² À»
±×· Á °¡ ¸ ç µûÁ®¾ß ÇÏ ´  ¹ ®Á¦ ÀỐ Ï ´ Ù. °¡ ² û ÀÌ · ¯ÇÑ ¹ ®Á¦ µµ ÃâÁ¦ µË́ 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 · ç¾î Áø test¿¡ ¼ °¢ ¹ ®Á¦ ¿¡ ´ëÇÑ Á¡ ¼ö´  1¹ ø ¹ ®Á¦ ÀÌ ÈÄ· Î ´  ¾ÕÀÇ ¹ ®Á¦ º ¸ ´Ù 2Á¡
¾¿ ¿Ã¶ó °¡ ¸ ç ¹ ®Á¦ ¸ ¦ Ç®¾î ¼ ÃÖ°í · Î ¾òÀ» ¼ö ÀÖ́  Á¡ ¼ö°¡ 100Á¡ÀÏ ¶§ 8¹ ø ¹ ®Á¦ ÀÇ Á¡ ¼ö¸¦ ¹ °
¾î º ¸ ° í ÀÖ́ Ù.
10S(ó À½ °ª ) + (2 + 4 + 6 + ⋅⋅⋅ + 18) = 100 ⇒ S = 1(ÃʱⰠª )¿¡ 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 ÆÇ̧ Å· ®°ú »ó°ü ¾øÀÌ ¹ Þ́  ¿¬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 ´  °ª À» ±̧ ÇÏ ¸é X°¡ 12ÀÏ ¶§°¡
$9,600ÀÌ µÇ¹ Ç· Î Á¤´ äÀỐ Ï ´ Ù. .
ÿ Á¤´ äÀº (D)
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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
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 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.
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 )( 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 ´  ³ ¯ÀÌ ¶ó°í ÇÏ ¸ é,
ynDnx = ⇒ D = y
x
ÿ Á¤´ äÀº (C)
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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
$2,000ÀÌ ÇÏ ÀÎ ±Þ¿©¿¡ ´ ëÇؼ ´  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  °Í À» ÀØÀ̧ ¸ é ¾ÈµË́ Ï ´ Ù.
ÿ Á¤´ äÀº (B)
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%
Àüü »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´  Á¦ Ç° Áß º Ò· ®Ç°ÀÇ º ñÀ² À»
±¸ÇÏ ¶ó´  ¹ ®Á¦ ÀỐ Ï ´ Ù.
• º Ò· ®Ç°ÀÌ ¸ ç Á¦ °ÅµÇ¾î Áö´  Á¦ Ç°ÀÇ º ñÀ² (defective and rejected) :
16.05
4
5
1 =× (16%), Àüü »ý»ê· ® Áß 20%(5
1)°¡ º Ò· ®Ç°ÀÌ ¶ó°í Ç߱⠶§¹®¿¡ 20% - 16% =4%
ÀÇ º Ò· ®Ç°ÀÌ Á¦ °ÅµÇÁö ¾Ê´Ấ Ù́  Àǹ Ì ÀỐ Ï ´ Ù.
• º Ò· ®Ç°ÀÌ ¾ǼÏ Áö¸ ¸ Á¦ °ÅµÇ¾î Áö´  Á¦ Ç°ÀÇ º ñÀ² (not defective and rejected) :
04.020
1
5
4=× , Àüü »ý»ê· ® Áß º Ò· ®Ç°ÀÌ ¾ǼÑ 4%ÀÇ Á¦ Ç°ÀÌ º Ò· ®Ç°À̧ · Î ¿ÀÀÎ µÇ¾î ÆÇ̧ ŵÇ
Áö ¾Ê½À́ Ï ´ Ù. µÎ °á°ú¸ ¦ ÇÕÄ¡ ¸é Àüü »ý»ê· ® Áß º Ò· ®Ç° 16%, Á¤»óÁ¦ Ç° 4%° ¡ Á¦ °Å µÇ¾î
ÃÑ»ý»ê· ®ÀÇ 80%°¡ ÆÇ̧ ŵǾî Áö° í ÀÌ Áß º Ò· ®Ç° 4%°¡ ¼̄ ÀÌ ¾î µé¾î °©́ Ï ´ Ù.
Æ÷ÀÎ Æ®́  ÆȨ̀ ° ¹ °°Ç Áß¿¡ ¸ î percent °¡ defectiveÀÎ °¡ ¸ ¦ ¹ ¯´  ¹ ®Á¦ ÁÒ. °ø½ÄÀ» Á¤¸ ®ÇÏ ¸ é:
%5%4%)4%80(
)&%(4 =+−
= sold defectivewhole
part
ÿ Á¤´ äÀº (B)ÀỐ Ï ´ Ù.
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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¦ ´  10milesÀÌ ÇÏ ÀÌ °í car poolÀ» ÇÏ ´  »ç¶÷ÀÇ percentÀ» ±¸ ÇÏ ´  °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  °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
ÿ Á¤´ äÀº (E)
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¦ ´  ¸¶Ä¡ °ø¹ è¼ö¸¦ ±¸ÇØ ÁÖ́  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 ®́  °°°Ô µË́ Ï ´ Ù. ¿òÁ÷ÀÎ °Å̧ ®°¡ ÀÏ Ä¡ ÇÏ · Á̧ é µÚ ¹ ÙÄû°¡ 4¹ Ù
Äû (28inches) µ¹ ¶§ ¾Õ ¹ ÙÄû´  7¹ ÙÄû(28inches) µ¹ ¾Æ¾ß ÇṌ Ï ´ Ù. °á±¹ 3¹ ÙÄû¸ ¦ ´ õ µ¹ ¾Æ¾ß µË́ Ï
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´ Ù. ÀÌ · ¯ÇÑ °á° ú· Î 28 inches¾¿ ° ¥ ¶§ ¾Õ ¹ ÙÄû´  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
Àüü Æò±ÕÀ̧ · Î Ȩ̀ ¿ø 1¸ í ÀÌ 92°³ ÀÇ ticketÀ» ÆȾҰí , Ȩ̀ ¿ø Áß ³ ² ¼º Àº 96Àå ¿©¼º Àº 84Àå ÆȾÒ́ Ù
¸ é ³ ² ¼º Àº 1¸ í ´ ç Æò±Õº ¸ ´ Ù 4À徿 ´ õ ÆÈ¾Ò°í ¿©¼º Àº 8¾¿À» ´ ú ÆȾÒ́ Ù. ÀÌ · ¯ÇÑ »óȲ ¿¡ ¼ Æò±Õ
À» ¸ ÂÃß¾î ÁÖ±â À§Çؼ ´  ¿©¼º 1¸ í ´ ç ³ ² ¼º 2¸ í ÀÌ ticketÀ» ÆÈ¾Æ¾ß Æò±Õ°ú ÀÏ Ä¡ ÇÏ °Ô µË́ 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
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 ¶§ Àüü °æ±âÀÇ ½Â· üÀÌ 60%°¡ µÈ́ Ù°í ÇṌ Ï ´ Ù. 40%ÀÇ ½Â· üÀ» ±â· Ï ÇÏ °í
ÀÖ́  15° æ±â¿¡ ¼ ½Â· üÀÌ Æò±ÕÀÎ 60%°¡ µÇ±â À§Çؼ ´  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 ´  ÃÑ°æ±â¿¡ ´ ëÇÑ Æò±Õ ½Â· ü 60%º ¸ ´ Ù15%¸¸ Å »óȨ̀ ÇÏ °í ÀÖ́  °Í ÀÌ ¸ ç 15%´  3°æ±â¿¡ ¼ ÀÇ ½Â̧ ®̧ ¦ Àǹ Ì ÇÏ ´  °Í ÀÌ ´ Ù.
3100
15 =×n (°æ±â) e n = 20
Çؼ³ 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.
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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´  100° ³ ÀÌ ´ Ù.
º Ò· ®¿£Áø°³ ¼ö°¡ F°³ ¶ó¸ é,
F × (5/6) = 100 , Àüü º Ò· ® ¿£Áø °³ ¼ö´  120°³ ÀÌ ´ 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, ±×· ¯³ ª ticketÀÌ 95%¸ ¸ ÆÇ̧ 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 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  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 ®́  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§Çؼ ´  48miles· Î ´ Þ¸ ± ¶§ ¼Ò¿äµḈ  ½Ã°£Àº H
6
5°¡ µÇ¾î ¾ß ÇÏ°í , ÀÌ
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· Î½á ¹ ß»ýÇÏ ´  ½Ã°£ÀÇ Â÷ÀÌ H 6
1´ Â40miles· Î Ãâ±ÙÇßÀ» ¶§¿Í 48miles· Î Ãâ±ÙÇßÀ» ¶§ ¹ ß»ýÇÏ
´  ½Ã°£ÀÇ Â÷ÀÌ 5º ÐÀÌ µḈ  °Í ÀỐ Ï ´ Ù. °á±¹ 40 mileÀÇ ¼Óµµ· Î 30º а£ ÃÑ20mileÀÇ °Å̧ ®̧ ¦´ Þ¸ ° °Í ÀỐ Ï ´ Ù.
Çؼ³ 2 µµÂøÇÏ °í ½Í Àº ½Ã°£À» T¶ó °¡ Á¤ÇÏ °í 12º аú 7º Ð ´ ʾú´ Ù́  °Í Àº T¿¡ ´ õÇØÁÖ́  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¸ ¦ ´ ëÀÔÇؼ Ç®̧ é °Å̧ ®̧ ¦ ±¸
ÇÒ ¼ö ÀÖÁÒ. ´ Ü ¿©±â¼ ´  ´ ÜÀ§´  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
ÿ Á¤´ äÀº (B)
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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%
¿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) ÷ 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  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 Àüü ¿ë¾× 1.5gallonÀÇ 10%¸ ¦ Â÷ÁöÇÏ ¸ é µÇ¹ Ç
· Î ÇÊ¿äÇÑ ¿ë¾×Àº 0.50ÀÌ µÈ́ Ù.
ÿ Á¤´ äÀº (A)
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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 Á¼® ¼ö : 180°³ ( ÇÑ ÁÙ¿¡ 6 Á¼®¾¿ 30 ÁÙ )
º ñÇà±â ³ ¯°³ ¿¡ ÀÇÇØ °æÄ¡ °¡ º ¸ ÀÌ Áö ¾Ế  Á¼® ¼ö : 30 Á¼®
°æÄ¡ °¡ º ¸ ÀÌ ´  Á¼®¿¡ 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÷ rentalȨ̀ »çÀÇ ÁÖÂ÷Àå¿¡ ÀÖ°í º ô· Á ÁØ Â÷ÀÇ 50%°¡ Åä¿äÀÏ
¾Æħ Àü±î Áö ȸ ¼öµÇ¾î Åä¿äÀÏ ¾Æħ¿¡ ÃÖ¼Ò 12´ ëÀÇ truckÀÌ ÀÖÀ» ¶§ ÁÖÁß¿¡ ´ ë¿© µÇ¾ú´ ø Â÷
ÀÇ ¼ö¸ ¦ ¹ ¯° í ÀÖ́  ¹ ®Á¦ ÀỐ Ï ´ Ù.
Åä¿äÀÏ ¾Æħ Àü±î Áö ´ ë¿© µÇ¾ú´ ø Â÷ÀÇ 50%°¡ Ȩ̀ ¼öµḈ  °Í ÀÌ ¹ Ç· Î º ô· ÁÁØ ÀÚµ¿Â÷ÀÇ ´ ë¼ö´Â
¿ì ¼± ¦ ¼öÀÌ ¾î ¾ß ÇṌ Ï ´ Ù.¸ ¸ ¾à 18´ ë°¡ ÁÖÁß¿¡ ´ ë¿© µÇ¾ú´ Ù̧ é Åä¿äÀÏ ¾Æħ±î Áö 9´ ë°¡ ¹ ݳ 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 ¾Æħ¿¡ ÀÖ¾î ¾ß ÇṌ Ï ´ Ù. ±×· ¯¹ Ç· Î 18Àº
´ äÀÌ ¾ǼṌ Ï ´ Ù. 16´ ë°¡ ´ ë¿© µÇ¾ú´ Ù̧ é 8° ³ °¡ ¹ ݳ ³ µÇ¾î Áö°í ÁÖÂ÷Àå¿¡ 4´ ëÀÇ Â÷°¡ ÀÖ¾úÀ» °ÍÀÌ
¹ Ç· Î Åä¿äÀÏ ¾Æħ¿¡ ÃÑ12´ ëÀÇ Â÷°¡ ÁÖÂ÷Àå¿¡ ÀÖ°Ô µË́ Ï ´ Ù.
ÿ Á¤´ äÀº (B)
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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 °¡ ´  °Å̧ ®́  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 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 ®̧ ¦ ó À½ 12º а£Àº 30mile· Î , ³ ª ¸ ÓÁö ° Å̧ ®́  8mileÀÇ ¼Óµµ· Î ´ Þ·ÈÀ» ¶§ 20mileÀ»
¿Ï ÁÖ ÇÏ ´ µ¥ ¼Ò¿äµÈ ½Ã°£À» ¹ °¾î º ¸ ° í ÀÖ½À́ Ï ´ Ù.
12º ÐÀº 1/5½Ã°£ÀỐ Ï ´ Ù. 30mileÀÇ ¼Óµµ· Î 12º а£ 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 аú 1(3/4)½Ã°£ °ð 105º ÐÀ» ´ õÇÏ ¿© ÁÖ̧ é 117º ÐÀÌ ´ äÀÌ µË́ 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 ȸ »çÀÇ ÁÖ½ÄÀ» ÁÖ́ ç $75¿¡ nÁÖ ¸ żöÇÏ ¿© 60%´  $120¿¡ ³ ª ¸ÓÁö´Â $70¿¡ ¸ ŵµÇÏ
¿´ 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
ÿ Á¤´ äÀº (B)
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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 б⠵¿¾È¿¡ ¸ Ǻ Þ $4,000¾¿ ¼öÀÍ ÀÌ ¹ ß
»ý ÇßÀ» ¶§ ’82,’83³ ⠵ΠÇØ 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 ÃѼսÇÀº $ 120,000ÀÌ °í ’ 83³ âµµ 1/4º бâ ÃѼöÀÍ $12,000ÀÌ ¹ Ç· Î break even ÇÏ ±â À§
Çؼ ´  ³ ª ¸ ÓÁö ±â° £ µ¿¾È¿¡ ¸ Ǻ Þ $108,000/8(´ Þ) ¸ ¸ Å ÀÇ ¼öÀÍ À» ¿À· Á¾ß ÇÑ́ 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 ÆȨ̀ ° ÈÄ Ãß°¡ · Î ÆȨ̀ ° Ã¥
ÀÓÀ» ÁÖÀÇ
ÿ Á¤´ äÀº (D)
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 ´  ±Ù¹ «½Ã°£¿¡ ´ ëÇؼ ´  ½Ã°£´ ç $12ÀÇ ±Þ· á¿¡ 1(1/2)¹ è¸ ¦ Áöº ÒÇÒ ¶§, 52½Ã°£
À» ±Ù¹ «ÇÏ ¿´ À» ¶§ ¹ Þ´  ±Þ·á´  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 ¿©́  1(1/2)¹ èÀÇ ±Þ· Ḡ¦ ¹ Þ°í Àֱ⠶§¹ ®¿¡ Á¤»ó±Ù¹ «ÀÇ 2/3½Ã°£¸ ¸ À» ÀÏ ÇÏ °í µµ
Á¤»ó±Ù¹ «½Ã°£¿¡ ¹ Þ´  ±Þ· Ḡ¦ 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.
ÿ Á¤´ äÀº (A)
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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, À̵é Áß 30%°¡ finance º о߿¡ ¼ ÀÏ ÇÑ́ Ù°í ÇÑ́ Ù. finance
º о߿¡ ¼ ÀÏ ÇÏ ´  corporate managerÁß 40%°¡ money managerÀÏ °æ¿ì , 25,000¸ í ÀÇ ±̧ µ¶ÀÚ Áß
finance º о߿¡ ¼ ÀÏ ÇÏ ´ Âcorporate money manager´Â ¸ î ¸ í ÀÎ °¡ ¸ ¦ ¹ °¾î º ¸ °í ÀÖ́ Ù.
Finance º о߿¡ ¼ ÀÏ ÇÏ ´ ÂCorporate manager ÀÇ º ñÀ² : 50% × 30 %
finance º о߿¡ ¼ ÀÏ ÇÏ ´ Âcorporate money manager ÀÇ ºñÀ² : 50% × 30 %× 40%
µû¶ó¼ 25,000× 50% × 30 %× 40% = 1,500
ÿ Á¤´ äÀº (A)
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
ù ¹ ø° ³ ¯ : (1/3) × 90
µÎ ¹ ø° ³ ¯ : 60 × (2/5)
¸ ¶Áö¸ · ³ ¯ : 90 – (30+24) = 36
ÿ Á¤´ äÀº (A)
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» Àǹ Ì
14-karat goldÀº È¥ÇÕ¹ °ÀÇ 14/24° ¡ ¼ø±Ý.
ÿ Á¤´ äÀº (C)
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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
ÿ Á¤´ äÀº (B)
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§Çؼ ´  2/10ÀÇ Ç¥°¡ ´ õ ÇÊ¿äÇṌ 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
80³ âµµº Î ÅÍ 84³ â±î Áö ¸ ų â 700¸ í ¾¿ ±Ù· Î ÀÚ°¡ °¨ ¼ÒÇÏ ´  »óȲ ÇÏ ¿¡ ¼ 84³ âµµ ±Ù· Î ÀÚÀÇ ¼ö°¡
80³ âµµÀÇ 80%ÀÏ ¶§ 84³ âµµ ±Ù· Î ÀÚÀÇ ¼ö¸ ¦ ±¸ÇÏ ¶ó´  ¹ ®Á¦ ÀỐ Ï ´ Ù.
80³ â¿¡ ¼ 84³ â±î Áö ¸ ų â 700¸ í ¾¿ ±Ù· Î ÀÚ°¡ °¨ ¼Ò Ç߱⠶§¹ ®¿¡ ÃÑ 2,800̧ í ÀÇ ±Ù· Î ÀÚ°¡ °¨ ¼Ò
Çß´ Ù́  »ç½ÇÀ» ¾Ë ¼ö ÀÖ½À́ Ï ´ Ù. ¶ÇÇÑ 84³ âµµÀÇ Ãѱٷ 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 Àüü ±Ù· Î ÀÚ ¼öe
4³ â ÈÄe
(80³ â ±Ù· Î ÀÚ ¼ö) × 0.8(=80%), Áï 4³ â µ¿¾È ±ÙÀÚÀÚ ¼ö
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ÀÇ 20% °¡ ÁÙ¾î ´ Ù́  Àǹ Ì ³ ׿ä.
°á±¹ 80³ âµµ¿¡ ° í ¿ëµÇ¾î ÀÖ́ ø ±Ù· Î ÀÚ ¼ö( x )´  ½Ä̈ ç° ú °°ÀÌ ±¸ÇÒ ¼ö ÀÖÀ̧ ¸ ç,
¨ ç 800,22.0 =× x ⇒ X = 14,000¸í84³ âµµ¿¡ ° í ¿ëµÇ¾î ÀÖ́  ±Ù· Î ÀÚÀÇ ¼ö´  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 ´ µ¥ 200°³ ÀÇ Å̧ ÀÏ ÀÌ ÇÊ¿äÇÏ ¸ ç marble tile· Î Àå½ÄÀ» Çϱâ À§ÇÑ °³
´ ç ° ¡ °ÝÀÌ terra-cotta tileÀÇ °¡ °Ýº ¸ ´ Ùx cents ¸ ¸ Å ³ ô±â ¶§¹ ®¿¡ Á¤´ äÀº (A)ÀỐ 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¦ ´  ´ 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,
Çؼ³ 2 µ¿ÀÏ ÇÑ ÀÛ¾÷ ¼Óµµ· Î (at the same constant rate) ÀÏ ÇÏ ´  6´ ëÀÇ ±â°è°¡ ǢÁ¤ÇÑ ÀÛ¾÷À» ¿Ï ¼ö
ÇÏ ´ µ¥ 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 ´ µ¥ ° Ȩ́ ®́  ½Ã°£ÀÌ 8½Ã°£ÀÌ ±â ¶§¹ ®¿¡ 1½Ã°£ µ¿¾È¿¡ ¿Ï ¼öÇÏ ´ Â
ÀÛ¾÷ÀÇ ¾çÀº 1/8ÀÌ ¸ ç, ÇÑ ´ ëÀÇ ±â° è°¡ ¿Ï ¼öÇÏ ´  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 ´  ÀÛ¾÷·®ÀÎ 1/48Àº
º ¯ÇÏ Áö ¾Ê½À́ Ï ´ Ù. ÀÌÁ¦ 5´ ëÀÇ ±â° è° ¡ ÀÏÇϱ⠶§¹ ®¿¡ 1½Ã°£µ¿¾È¿¡ ¿Ï ¼öÇÏ ´  ÀÛ¾÷·®Àº 5/48ÀÌ
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¸ ç ÀÛ¾÷À» ¿Ï ¼öÇÏ ´ µ¥ ¼Ò¿äµḈ  ½Ã°£Àº ÃÑ 48/5½Ã°£ÀỐ Ï ´ Ù. ¹ ®Á¦ ¿¡ ¼ ´  8½Ã°£º ¸ ´ Ù ¸ î º ÐÀÌ
´ õ ¼Ò¿ä µḈ ÂÁö¸ ¦ ¹ °¾î º ¸ °í Àֱ⠶§¹ ®¿¡ ´ ÙÀ½ÀÇ °è»êÀ» ÇØÁÖ¾î ¾ß ÇṌ Ï ´ Ù.
( ) 96)60548(608 =×−×
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?
(A) 12
1 (B) 6
1 (C) 4
1 (D) 3
1 (E) 2
1
¹ °À» ä¿ì ´  ÆÄÀÌ ÇÁ· Î (an inlet pipe) ¹ °À» ä¿ì ´ µ¥ 3½Ã°£ ¼Ò¿äµË́ Ï ´ Ù.
Ý 1½Ã°£µ¿¾È an empty poolÀ» 1/3ÀÌ Ã¤¿ö ³ ª °©́ Ï ´ Ù.
¹ °À» ¹ èÃâÇÏ ´  ÆÄÀÌ ÇÁ· Î (an outlet pipe) ¹ °À» º ñ¿ì ´ µ¥ 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´  µ¿½Ã¿¡ ¹ °ÀÌ º ñ¿öÁö´  °æ¿ì ÇÑ ½Ã°£ µ¿¾È¿¡ ä¿öÁö´  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 ´  ¹ °ÀÇ ¾çÀº 1/12ÁÒ.
¹ ®Á¦ ¿¡ ¼ ´  µÎ ½Ã°£µ¿¾È¿¡ ä¿öÁö´  ¹ °ÀÇ ¾çÀÇ ¾çÀ» ¹ °¾î º ¸ ° í ÀÖÀ̧ ¹ Ç· Î ÇÑ ½Ã°£µ¿¾È¿¡ ä¿öÁö´  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´  ½Ã°£´ ç 1/18¸ ¸ Å ¾¿ ÀÏ À» ÇÑ́ Ù.
ÿ Á¤´ äÀº (A)
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GRE Math °-ÁÂ Set 8-1
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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
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 X́  ¸ Å 12ºÐ̧ ¶´ Ù, Bell Ý Â ¸ Å 14ºÐ̧ ¶´Ù, Bell Ź  15ºÐ̧ ¶´Ù ¿ï ¸ ± ¶§ 3°³ ÀÇ º §ÀÌ µ¿½Ã
¿¡ ¿ï ¸ ®°í ´ ٽà µ¿½Ã¿