Sample 8

Math °í±Þ°-ÁÂ Set 8 Sample

Sample ¼öÇÐ°-ÁÂ
¾Æ·¡ÀÇ ¹®Á¦µéÀº 18 chapters ·Î ±¸¼ºµÈ °-ÁÂ Áß¿¡¼- chapter 8 ÀÇ word
problems ÀÌ¸ç, ±¸¼ºµÈ ¹®Á¦µéÀº Level One, Level Two, Level Three Áß¿¡¼- ¹«ÀÛ
À§·Î 20 ¹®Á¦¸¦ »ÌÀº °Í ÀÔ´Ï´Ù. ½ÇÁ¦ ÀÎÅÍ³Ý ¼öÇÐ °-ÁÂ´Â °¢ level º°·Î ¹®
Á¦°¡ ±¸¼ºµÇ¾î ÀÖ½À´Ï´Ù. ½ÇÁ¦ ½ÃÇè¿¡¼-´Â 37 ¹®Á¦¸¦ Çª´Âµ¥ 75 ºÐÀ» ÁÖ´Â °Í
À» °í·ÁÇØ 20 ¹®Á¦¸¦ 35 ºÐ µ¿¾È ½ÇÀüÃ³·³ Ç®¾îº¸½Å ÈÄ Á¤´äÀ» È®ÀÎÇÏ½Å ÈÄ
ÇØ¼³À» ÂüÁ¶ÇÏ¼¼¿ä.

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

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

3. From January 1, 1980, to January 1, 1984, the number of employees of Company answer
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

4. City X provided 18 million dollars of the total funding for its cultural center last
answer
year. From all of the remaining sources of funding, how many million dollars was
provided by private grants and private endowments last year?
(1) Total funding for the center last year was 60 million dollars.
(2) Last year the amount of the center’s funding provided by private grants was
half the amount provided by private endowments, and the amount provided by
private endowments was one-third the amount provided by City X .

À±ÅÂÈ-¿µ¾î¿¬±¸½Ç, http://www.vstudy.co.kr, help@vstudy.co.kr, 02-538-5999, Page1


5. Fifty percent of the subscribers to newspaper X are corporate managers and of answer
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

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

7. In the figure above, each of the digits 1 through 8 is to be written in exactly one of answer
the squares so that no two consecutive numbers will be next to each other in any
directions, horizontally, vertically, or diagonally. If 2 and 8 are to be written in the
squares as shown, which digit will be written in the shaded square?
(1) The number 4 is to be written in the square directly above the shaded square.
(2) The number 1 is to be written in the square directly above the square
containing 8.

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



9. 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 ?
1 1
(A) 30% (B) 33 % (C) 37 % (D) 40% (E) 50%
3 2

10. If Juan had a doctor’s appointment on a certain day, was the appointment on a answer
Wednesday?
(1) Exactly 60 hours before the appointment, it was Monday.
(2) The appointment was between 1:00 p.m. and 9:00 p.m.

11. The pages of a report are numbered consecutively from 1 to 10. If the sum of the answer
page numbers up to and including page number x of the report is equal to one
more than the sum of the page numbers following page number x , then x =
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8

12. In a certain competition, each performance is scored by each of six judges and the
answer
point value of the performance is determined as follows: the highest score and
lowest score are dropped, and the total of the remaining four scores is multiplied by
the degree of difficulty of the performance. If Dan is one of the competitors and
the total of the six scores for his first performance was 49.5, what was the degree of
difficulty of Dan’s first performance?
(1) The point value of Dan’s first performance was 92.4.
(2) The sum of Dan’s highest score and lowest score for his first performance was
16.5.

13. Exactly 3 deposits have been made in a savings account and the amounts of the answer
deposits are 3 consecutive integer multiples of $7. If the sum of the deposits is
between $120 and $170, what is the amount of each of the deposits?
(1) The amount of one of the deposits is $49.

14. Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, answer
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



15. One-fifth of the light switches produced by a certain factory are defective. Four- answer
1
fifths of the defective switches are rejected and of the non-defective switches
20
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%

16. The front wheels of a toy truck are 4 inches in circumference. The back wheels are
answer
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

17. A team won 40 percent of the 15 games it has already played. If the team were to answer
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

18. Jeff drove to work from his home averaging 40 miles per hour, and was 12 minutes answer
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

19. Cars P and Q started simultaneously from opposite ends of a straight 300-mile answer
expressway and traveled toward each other, without stopping, until they passed at
location X . To the nearest mile, how many miles of the expressway had car P
traveled when the two cars passed each other?
(1) Up to location X , the average speed of car Q was 15 miles per hour faster
than that of car P .
1
(2) Up to location X , the average speed of car Q was 1 times that of car P .
3

20. If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 answer
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



¼öÇÐ ÇØ¼³

1.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

Point! ÀüÇüÀûÀÎ ETS Math ¹®Á¦ÀÎ °Í °°³×¿ä. ½ÇÁ¦·Î ÀÌ ¹®Á¦¸¦ Ç®´Ù º¸¸é ¾Æ¹«·± ¼öÇÐ °ø
½Äµµ ÇÊ¿äÇÏÁö ¾Ê´Ù´Â °ÍÀ» ¹ß°ßÇÒ ¼ö ÀÖ½À´Ï´Ù. ¹®Á¦°¡ ¹¯´Â °ÍÀÌ ¹«¾ùÀÎÁö¸¦ Á¤È®È÷ ÆÄ¾Ç
ÇÏ´Â °ÍÀÌ ÀÌ·± word problems °°Àº À¯ÇüÀÇ ¹®Á¦¸¦ Çª´Â Áö¸§±æÀÎ °Í °°³×¿ä!
ÇØ¼³ ¹°À» Ã¤¿ì´Â ÆÄÀÌÇÁ·Î(an inlet pipe) ¹°À» Ã¤¿ì´Âµ¥ 3 ½Ã°£ ¼Ò¿äµË´Ï´Ù.
Ý 1 ½Ã°£µ¿¾È an empty pool À» 1/3 ÀÌ Ã¤¿ö ³ª°©´Ï´Ù.
¹°À» ¹èÃâÇÏ´Â ÆÄÀÌÇÁ·Î(an outlet pipe) ¹°À» ºñ¿ì´Âµ¥ 4 ½Ã°£ ¼Ò¿äµË´Ï´Ù
Ý 1 ½Ã°£µ¿¾È a full pool À» 1/4 ÀÌ 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 1/3 ÀÇ ¹°ÀÌ Ã¤¿öÁö°í, 1/4 ¹°ÀÌ ºüÁ® ³ª°¡´Ï±î ³²´Â ¹°ÀÇ ¾çÀº 1/12 ÁÒ.
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¿¡ 2 ½Ã°£À» °öÇØ ÁÖ¾î¾ß ÇÕ´Ï´Ù .⇒ (1/12)×2 = 1/6
∴ Á¤´äÀº (B)ÀÔ´Ï´Ù

2. 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 m inutes will be required to
complete the same job?
(A) 38 (B) 72 (C) 80 (D) 90 (E) 96

ÇØ¼³ 1 word problems ¹®Á¦ Áß¿¡¼- µÎ °³ÀÇ groups ÀÌ µ¿ÀÏÇÑ ÀÏÀ» ÇÒ ¶§ °¢°¢ °É¸®´Â ½Ã°£À»
±¸ÇÏ´Â ¹®Á¦ÀÌ³×¿ä . À§ÀÇ ¹®Á¦´Â ´ÙÀ½ÀÇ °ø½Ä(word problems °ø½ÄÁ¤¸® Âü°í!)À» ÀÌ¿ëÇÏ¸é ¾Æ
ÁÖ 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= 48/5 ÀÌ´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 hours ÁÒ. Hours ¸¦ minutes À¸·Î ¹Ù²Ù¸é
(8/5) × 60 = 96 minutes, Á¤´äÀº (E)

ÇØ¼³ 2 µ¿ÀÏÇÑ ÀÛ¾÷ ¼Óµµ·Î(at the same constant rate) ÀÏÇÏ´Â 6 ´ëÀÇ ±â°è°¡ Æ¯Á¤ÇÑ ÀÛ¾÷À» ¿Ï¼ö
ÇÏ´Âµ¥ 8 ½Ã°£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 8 ½Ã°£ÀÌ±â ¶§¹®¿¡ 1 ½Ã°£ µ¿¾È¿¡ ¿Ï¼öÇÏ´Â
ÀÛ¾÷ÀÇ ¾çÀº 1/8 ÀÌ¸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°¡ 1 ½Ã°£¿¡ ¿Ï¼öÇÏ´Â ÀÛ¾÷·®ÀÎ 1/48
Àº º¯ÇÏÁö ¾Ê½À´Ï´Ù . ÀÌÁ¦ 5 ´ëÀÇ ±â°è°¡ ÀÏÇÏ±â ¶§¹®¿¡ 1 ½Ã°£µ¿¾È¿¡ ¿Ï¼öÇÏ´Â ÀÛ¾÷·®Àº



5/48 ÀÌ¸ç ÀÛ¾÷À» ¿Ï¼öÇÏ´Âµ¥ ¼Ò¿äµÇ´Â ½Ã°£Àº ÃÑ 48/5 ½Ã°£ÀÔ´Ï´Ù. ¹®Á¦¿¡¼-´Â 8 ½Ã°£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 ∴∝∂⌠…↑(E)ÀÔ´Ï´Ù.
´äÀº
5

3. 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

ÇØ¼³ 80 ³âµµºÎÅÍ 84 ³â±îÁö ¸Å³â 700 ¸í¾¿ ±Ù·ÎÀÚ°¡ °¨¼ÒÇÏ´Â »óÈ² ÇÏ¿¡¼- 84 ³âµµ ±Ù·ÎÀÚÀÇ
¼ö°¡ 80 ³âµµÀÇ 80%ÀÏ ¶§ 84 ³âµµ ±Ù·ÎÀÚÀÇ ¼ö¸¦ ±¸ÇÏ¶ó´Â ¹®Á¦ÀÔ´Ï´Ù.
80 ³â¿¡¼- 84 ³â±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 84 ³âµµÀÇ ÃÑ±Ù·ÎÀÚ°¡ 80 ³âµµ ±Ù·ÎÀÚÀÇ 80%¶ó°í Çß±â
¶§¹®¿¡ °¨¼ÒÇÑ ±Ù·ÎÀÚ 2,800 ¸íÀº 80 ³âµµ¿¡ °í¿ëµÇ¾î ÀÖ´ø ±Ù·ÎÀÚÀÇ 20%ÀÓÀ» ¾Ë ¼ö ÀÖ½À
´Ï´Ù : 80 ³â ÀüÃ¼ ±Ù·ÎÀÚ ¼ö e 4 ³â ÈÄ e (80 ³â ±Ù·ÎÀÚ ¼ö) × 0.8(=80%), Áï 4 ³â µ¿¾È ±ÙÀÚ
ÀÚ ¼öÀÇ 20% °¡ ÁÙ¾î´Ù´Â ÀÇ¹Ì³×¿ä.
°á±¹ 80 ³âµµ¿¡ °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
84 ³âµµ¿¡ °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
∴ ℑ⁄×™ℵ≡
(C)ÀÔ´Ï´Ù.

4. City X provided 18 million dollars of the total funding for its cultural center last
year. From all of the remaining sources of funding, how many million dollars was
provided by private grants and private endowments last year?

(1) Total funding for the center last year was 60 million dollars.
(2) Last year the amount of the center’s funding provided by private grants was half the
amount provided by private endowments, and the amount provided by private
endowments was one-third of the amount provided by City X .

ÇØ¼³ The cultural center À» À§ÇÑ ¸ð±Ý¿¡ Âü¿©ÇÑ ÇüÅÂ Áß ÀÏºÎ°¡ City X ÀÇ Áö¿ø, private grants,
private endowments ¶ó´Â °ÍÀÔ´Ï´Ù. ±×·¯¹Ç·Î statement (1) Àº ºñ·Ï ÀüÃ¼ total funding(¸ð±Ý¾×)À»
¾Ë ¼ö ´Â ÀÖÁö¸¸ City X , private grants, private endowments ¿Ü¿¡ ´Ù¸¥ ÇüÅÂÀÇ ±âºÎ¿¡ ´ëÇÑ Á¤º¸
¸¦ ¾Ë ¼ö ¾ø±â ¶§¹®¿¡ ¹®Á¦¿¡ ´ëÇÑ ´äÀ» ÇÒ ¼ö °¡ ¾ø½À´Ï´Ù.
Statement (2) ´Â City X ÀÇ Áö¿ø±Ý, private grants, private endowments °£¿¡ ºñÀ²À» ¸»ÇÏ°í ÀÖ½À´Ï
´Ù. ¹®Á¦¿¡¼- City X ÀÇ Áö¿ø±ÝÀÌ 18 million dollars ÀÎ °ÍÀ» °¡¸£ÃÄ ÁÖ¾ú±â ¶§¹®¿¡ private
grants, private endowments ¾çÀ» ¾Ë ¼ö ÀÖ½À´Ï´Ù.
1
The amount provided by private grants =   The amount provided by private endowments
2
1
The amount provided by private endowments =   The amount provided by City X
3



∴ Á¤´äÀº
(B)ÀÔ´Ï´Ù.

5. 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

ÇØ¼³ 50% subscribers °¡ corporate manager ÀÌ¸ç, ÀÌµé Áß 30%°¡ finance ºÐ¾ß¿¡¼- ÀÏÇÑ´Ù°í ÇÑ
´Ù. finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â corporate manager Áß 40%°¡ money manager ÀÏ °æ¿ì, 25,000 ¸íÀÇ ±¸
µ¶ÀÚ Áß finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â corporate money manager ´Â ¸î ¸íÀÎ°¡¸¦ ¹°¾î º¸°í ÀÖ½À´Ï
´Ù. Finance ºÐ¾ß¿¡¼- ÀÏÇÏ´Â Corporate money manager ÀÇ ¼ö´Â :
25,000 × 0.5(= 50%) × 0.3(30%) × 0.4( 40%) = 1,500
∴ Á¤´äÀº
(A)ÀÔ´Ï´Ù.

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

 1
ÇØ¼³ 1 40 ½Ã°£À» ÃÊ°úÇÏ´Â ±Ù¹«½Ã°£¿¡ ´ëÇØ¼-´Â ½Ã°£´ç $12 ÀÇ ±Þ·á¿¡ 1 ¹è¸¦ ÁöºÒÇÒ ¶§,
 2
52 ½Ã°£À» ±Ù¹« ÇÏ¿´À» ¶§ ¹Þ´Â ±Þ·á´Â ÃÊ°ú½Ã°£±Ù¹«¸¦ ÇÏÁö ¾Ê°í ¸î ½Ã°£À» ÀÏÇÒ ¶§ ¹Þ´Â
±Þ·á¿Í °°°Ô µÇ´ÂÁö ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
1 2
ÃÊ°ú±Ù¹«¿¡ ´ëÇÏ¿©´Â 1  ¹èÀÇ ±Þ·á¸¦ ¹Þ°í ÀÖ±â ¶§¹®¿¡ Á¤»ó±Ù¹«ÀÇ ½Ã°£¸¸À»ÀÏÇÏ°íµµ
2 3
Á¤»ó±Ù¹«½Ã°£¿¡ ¹Þ´Â ±Þ·á¸¦ ¹ÞÀ» ¼ö ÀÖ½À´Ï´Ù . ±×·¯¹Ç·Î ÃÊ°ú½Ã°£ ±Ù¹« 1 ½Ã°£Àº Á¤»ó±Ù¹«
3
½Ã°£ÀÇ ¹èÀÎ °ÍÀÔ´Ï´Ù. ¹®Á¦¿¡¼- 12 ½Ã°£À» ÃÊ°ú±Ù¹« ÇÏ¿´±â ¶§¹®¿¡ ÀÌ¸¦ Á¤»ó±Ù¹«½Ã°£À¸
2
3
·Î È¯»êÇÏ¸é 18 ½Ã°£ÀÌ µË´Ï´Ù e 12(hours ) × = 18(hours)
2
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.
∴ℑ⁄×™ℵ≡
(A)ÀÔ´Ï´Ù.
 1
ÇØ¼³ 2 52 hours ÀÇ pay = $12× 40hours + $12×( 1  )×12 hours = $12× T hours
 2
ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é T = 58 hours, Á¤´äÀº (A)



7. In the figure above, each of the digits 1 through 8 is to be written in exactly one of
the squares so that no two consecutive numbers will be next to each other in any
directions, horizontally, vertically, or diagonally. If 2 and 8 are to be written in the
squares as shown, which digit will be written in the shaded square?
(1) The number 4 is to be written in the square directly above the shaded square.
(2) The number 1 is to be written in the square directly above the square
containing 8.

ÇØ¼³ 1 ¿¡¼- 8 ±îÁöÀÇ ¼ýÀÚ¸¦ »ç°¢Çü¾È¿¡ ¾²°í ¿¬¼ÓÇÏ´Â µÎ ¼ö´Â ¹Ù·Î ÁÂ¿ì,»óÇÏ ¶Ç´Â ´ë°¢
¹æÇâÀ¸·Î ¾²Áö ¾Ê´Â´Ù°í ÇßÀ» ¶§ »ç¼±ÀÌ ±×·ÁÁø Ä-¿¡ µé¾î °¥ ¼ö ÀÖ´Â ¼ö¸¦ ¹°¾î º¸°í ÀÖ½À
´Ï´Ù.
statement (1) »ç¼±ÀÌ ±×·ÁÁø Ä- ¹Ù·Î À§ÀÇ »ç°¢Çü¿¡ 4 °¡ ¾²¿©Áø´Ù°í ÇÕ´Ï´Ù. ±×·¯¸é Á¶°Ç¿¡
ÀÇÇÏ¿© »ç¼±ÀÌ ±×·ÁÁø Ä-¿¡´Â ´ë°¢¹æÇâÀ¸·Î 2 ¿Í ¿¬¼ÓÇÏ´Â 1, 4 ÀÇ ¾Æ·¡¿¡ ³õÀÌ°Ô µÇ´Â 3 °ú
5, ±×¸®°í ¿À¸¥ÂÊ Ä-¿¡ 8 ÀÌ ³õÀÌ´Â 7 Àº ¿Ã ¼ö ¾ø½À´Ï´Ù. °á±¹ 6 ¸¸ÀÌ ¿Ã ¼ö ÀÖ°Ô µË´Ï´Ù.
statement (2) 8À§¿¡ 1 ÀÌ ¾²¿©Áö¸é »ç¼±ÀÌ ±×·ÁÁø Ä-¿¡´Â 4,5,6 ÀÌ ¿Ã ¼ö ÀÖ´Ù.
∴ℑ⁄×™ℵ≡
(A)ÀÔ´Ï´Ù.

8. 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

ÇØ¼³ ÃÑ 20 ´ëÀÇ truck ÀÌ ¿ù¿äÀÏ ÀÚµ¿Â÷ rental È¸»çÀÇ ÁÖÂ÷Àå¿¡ ÀÖ°í ºô·Á ÁØ Â÷ÀÇ 50%°¡ Åä
¿äÀÏ ¾ÆÄ§ Àü±îÁö È¸¼öµÇ¾î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÖ¼Ò 12 ´ëÀÇ truck ÀÌ 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 ¼ö´Â ¿ì
¼± 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
18 Àº ´äÀÌ ¾Æ´Õ´Ï´Ù. 16 ´ë°¡ ´ë¿© µÇ¾ú´Ù¸é 8 °³°¡ ¹Ý³³µÇ¾îÁö°í ÁÖÂ÷Àå¿¡ 4 ´ëÀÇ Â÷°¡ ÀÖ¾ú
À» °ÍÀÌ¹Ç·Î Åä¿äÀÏ ¾ÆÄ§¿¡ ÃÑ 12 ´ëÀÇ Â÷°¡ ÁÖÂ÷Àå¿¡ ÀÖ°Ô µË´Ï´Ù.
∴ℑ⁄×™ℵ≡
(B)ÀÔ´Ï´Ù.

9. 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

ÇØ¼³ ¿ø·¡ ¿ë¾× Y ÀÇ ±¸¼º: liquid 30%, water 70% ±¸¼ºµÊ
](1) 8 kilograms
ÀÇ Y ¿ë¾×¿¡¼- ¹°¸¸ Kg Áõ¹ßµÈ ÈÄ ¿ë¾× Y :
2
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 kilograms Áõ¹ß)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 X ÀÇ percent = × 100 =
8.0 2
∴ℑ⁄×™ℵ≡
(C)ÀÔ´Ï´Ù.

10. If Juan had a doctor’s appointment on a certain day, was the appointment on a
Wednesday?
(1) Exactly 60 hours before the appointment, it was Monday.
(2) The appointment was between 1:00 p.m. and 9:00 p.m.

ÇØ¼³ ÀÇ»ç¿ÍÀÇ ¾à¼ÓÀÌ ¼ö¿äÀÏ¿¡ ÀâÇô ÀÖ´ÂÁö¸¦ ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
statement (1) ¾à¼Ó½Ã°£À¸·ÎºÎÅÍ 60 ½Ã°£ ÀüÀÌ ¿ù¿äÀÏÀÌ¶ó°í ÇÏ°í ÀÖ½À´Ï´Ù. ÀÌ Áø¼ú·Î´Â ¾à¼Ó
½Ã°£ÀÌ ¼ö¿äÀÏÀÎÁö ¸ñ¿äÀÏÀÎÁö ¾Ë ¼ö °¡ ¾ø½À´Ï´Ù.
statement (2) ¾à¼Ó½Ã°£ÀÌ ¿ÀÈÄ 1 ½Ã¿¡¼- ¿ÀÈÄ 9 ½Ã »çÀÌÀÓÀ» °¡¸£ÃÄ ÁÖ°í ÀÖ½À´Ï´Ù. ÀÌ Áø¼ú¸¸
À» °¡Áö°í´Â ´äÀ» ÇÒ ¼ö ¾ø½À´Ï´Ù.

ÇÏÁö¸¸ µÎ °¡ÁöÀÇ Áø¼úÀ» ÇÕÇÏ¸é ¹®Á¦¿¡ ´ëÇÑ ´äÀ» ÇÒ ¼ö °¡ ÀÖ½À´Ï´Ù. ¾à¼Ó½Ã°£ÀÌ ¿ÀÈÄ 1
½Ã¿¡¼- ¿ÀÈÄ 9 ½ÃÁß¿¡ ÀâÇô ÀÖ°í ¾à¼Ó½Ã°£À¸·ÎºÎÅÍ 60 ½Ã°£ÀüÀÌ ¿ù¿äÀÏÀÌ¶ó¸é ¾à¼Ó½Ã°£Àº
¼ö¿äÀÏÀÔ´Ï´Ù.
∴ℑ⁄×™ℵ≡
(C)ÀÔ´Ï´Ù.

11. The pages of a report are numbered consecutively from 1 to 10. If the sum of the
page numbers up to and including page number x of the report is equal to one more
than the sum of the page numbers following page number x , then x =
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8

ÇØ¼³ 1 1 ÆäÀÌÁö¿¡¼-ºÎÅÍ x ÆäÀÌÁö±îÁöÀÇ ÇÕÀÌ x ÆäÀÌÁö ´ÙÀ½ÀÇ ÆäÀÌÁö¿¡¼-ºÎÅÍ 10 ÆäÀÌÁö±î



ÁöÀÇ ÇÕ¿¡ 1 À» ´õÇÑ °Í°ú °°´Ù´Â ¸»ÀÔ´Ï´Ù.
x 10

∑i = ∑i + 1 Á¤´äÀº (D)ÀÔ´Ï´Ù.
i =1 i = x +1
x( x + 1)
ÇØ¼³ 2 ½ÄÀ¸·Î Á¤´äÀ» À¯µµÇÏ¸é 1 ºÎÅÍ X ±îÁöÀÇ ÇÕ Àº X ´ÙÀ½ ¼ýÀÚºÎÅÍ 10 ±îÁöÀÇ
2
x( x + 1)
ÇÕ¿¡ 1 À» ´õÇÑ °ª°ú °°´Ù´Â °ÍÀº 1 ºÎÅÍ 10 ±îÁöÀÇ ÇÕ 55 ¿¡¼- À» »« ÈÄ 1 À» ´õÇÑ
2
x( x + 1) x( x + 1)
°ª°ú °°´Ù´Â ÀÇ¹Ì·Î ÅëÇÏ³×¿ä. Áï = (55 − )+1
2 2
ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é X = 7 ÀÌÁÒ.

12. In a certain competition, each performance is scored by each of six judges and the
point value of the performance is determined as follows: the highest score and lowest
score are dropped, and the total of the remaining four scores is multiplied by the degree
of difficulty of the performance. If Dan is one of the competitors and the total of the
six scores for his first performance was 49.5, what was the degree of difficulty of Dan’s
first performance?
(1) The point value of Dan’s first performance was 92.4.
(2) The sum of Dan’s highest score and lowest score for his first performance was
16.5.

ÇØ¼³ 6 ¸íÀÇ ½ÉÆÇÀÌ Ã¤Á¡À» ÇÏ¸ç °¡Àå ³ôÀº Á¡¼ö¿Í °¡Àå ³·Àº Á¡¼ö¸¦ Á¦¿ÜÇÑ Á¡¼öÀÇ ÇÕ¿¡
³-ÀÌµµ¸¦(the degree of difficulty) °öÇÏ¿© the point value of the performance ¸¦ °áÁ¤ÇÑ´Ù°í ÇÕ´Ï´Ù .
ÀÌ·¯ÇÑ Á¶°Ç ÇÏ¿¡¼- ³-ÀÌµµ¸¦(the degree of difficulty) ¹°¾î º¸°í ÀÖ½À´Ï´Ù.
Statement(1) the point value of the performance ¿Í ÃÑÁ¡Àº ¾Ë°í ÀÖÀ¸³ª ¿©¼¸ °³ÀÇ Á¡¼ö Áß ¾î´À
Á¡¼ö°¡ Á¦¿Ü µÇ¾ú´ÂÁö¸¦ ¾Ë ¼ö ¾ø±â ¶§¹®¿¡ ¹®Á¦¿¡ ´ëÇÑ ´äÀ» ÇÒ ¼ö °¡ ¾ø½À´Ï´Ù.
Statement (2) ÃÖ°í Á¡¼ö¿Í ÃÖÀú Á¡¼ö¸¦ ¾Ë¾Ò½À´Ï´Ù. ÇÏÁö¸¸ (2)¸¸ °¡Áö°í´Â Á¤´äÀ» ±¸ÇÒ ¼ö
¾ø³×¿ä.¸¶Áö¸·À¸·Î ÇÏ½Ç ÀÏÀº Statement (1),(2)À» µ¿½Ã¿¡ »ç¿ëÇÏ¿© ¹®Á¦¸¦ Ç® ¼ö ÀÖ´ÂÁö¸¦ È®
ÀÎÇÏ´Â °ÍÀÔ´Ï´Ù. 92.4(point value) = (49.5 – 16.5)×the degree of difficulty ¿¡¼- the degree of
difficulty À» ±¸ÇÒ ¼ö ÀÖ³×¿ä.

∴ℑ⁄×™ℵ≡
(C)ÀÔ´Ï´Ù.

13. Exactly 3 deposits have been made in a savings account and the amounts of the
deposits are 3 consecutive integer multiples of $7. If the sum of the deposits is
between $120 and $170, what is the amount of each of the deposits?

ÇØ¼³ ÀÔ±ÝÀ» 3 Â÷·Ê ÇÏ°í °¢°¢ÀÇ ¿¹±Ý¾×ÀÌ ¿¬¼ÓµÇ´Â 7 ÀÇ ¹è¼ö(3 consecutive integer multiples of
$7)¿´À» °æ¿ì¿¡ ÀúÃà±Ý¾×À» ¹°¾î º¸°í ÀÖ½À´Ï´Ù.

Statement (1) $49 ÀÌ ¿¹±Ý¾×ÀÏ °æ¿ì $120 < the sum of the deposit < $170 ÀÎ °æ¿ìÀÇ ¼ö°¡ ¿©·¯
°¡Áö ³ª¿À±â ¶§¹®¿¡ ¹®Á¦¿¡ ´ëÇÑ ´äÀ» ÇÒ ¼ö °¡ ¾ø½À´Ï´Ù.
( $35, $42, $49 ), ( $42, $49, $56 ) , ( $49, $56, $63 )

Statement (2) ( $49, $56, $63 )ÀÎ ÇÑ °¡Áö °æ¿ì¸¸ÀÌ Á¶°ÇÀ» ¸¸Á·ÇÕ´Ï´Ù.
( $56, $63,$70)°ú($63,$70,$77)ÀÇ ÇÕÀº $170 À» ÃÊ°úÇÕ´Ï´Ù.



∴ℑ⁄×™ℵ≡
(B)ÀÔ´Ï´Ù.

14. 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

ÇØ¼³ supply room ¿¡ 5 Á¾·ùÀÇ Ã¥ÀÌ ÀÖ°í , supply room À¸·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 ±ÇÀÔ´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. ¿©±â
¼- 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 µÇ¾îÁý´Ï´Ù . ¿¹¸¦ µé¸é ¿Å°ÜÁø Ã¥ÀÌ physics ÀÏ °æ¿ì physics °¡ 80 ±ÇÀÌ µÇ¸ç ,
¿Å°ÜÁø Ã¥ÀÌ chemistry ÀÏ °æ¿ì chemistry °¡ 80 ±ÇÀÌ µË´Ï´Ù. ¸ðµÎ Á¤¸®ÇÏ¸é 165 ±Ç + 79 ±Ç +
80 ±Ç = 324 ±Ç

∴ℑ⁄×™ℵ≡
(E)ÀÔ´Ï´Ù.

15. One-fifth of the light switches produced by a certain factory are defective. Four-
1
fifths of the defective switches are rejected and of the non-defective switches are
20
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%

1 4
ÇØ¼³ ÀüÃ¼ »ý»ê·®ÀÇ °¡ ºÒ·®Ç°ÀÌ¸ç, ºÒ·®Ç°ÀÇ °¡ Á¦°Å µÇ¾îÁö³ª ºÒ·®Ç°ÀÌ ¾Æ´Ñ Á¦Ç°ÀÇ
5 5
1
ÀÌ ¶ÇÇÑ ½Ç¼ö·Î Á¦°Å µÇ¾îÁø´Ù°í ÇÕ´Ï´Ù .ÀÌ·² ¶§ ÆÇ¸Å µÇ¾îÁö´Â Á¦Ç° Áß ºÒ·®Ç°ÀÇ ºñÀ²
20
À» ±¸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%
∴ℑ⁄×™ℵ≡
(B)ÀÔ´Ï´Ù.

16. 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

ÇØ¼³ ¾Õ ¹ÙÄûÀÇ ¿øÁÖ°¡ 4 inches, µÚ ¹ÙÄûÀÇ ¿øÁÖ°¡ 7inches ÀÏ ¶§ ¾Õ ¹ÙÄû°¡ µÚ ¹ÙÄûº¸´Ù 12
¹ÙÄû ´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°¡ 4 ¹Ù
Äû (28inches) µ¹ ¶§ ¾Õ ¹ÙÄû´Â 7 ¹ÙÄû (28inches) µ¹¾Æ¾ß ÇÕ´Ï´Ù. °á±¹ 3 ¹ÙÄû¸¦ ´õ µ¹¾Æ¾ß µË
´Ï´Ù. ÀÌ·¯ÇÑ °á°ú·Î 28 inches ¾¿ °¥ ¶§ 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.

∴ℑ⁄×™ℵ≡
(A)ÀÔ´Ï´Ù.

17. 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

ÇØ¼³ 1 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
∴ Á¤´äÀº
(B)ÀÔ´Ï´Ù.
ÇØ¼³ 2 ¶Ç ´Ù¸¥ ¹æ¹ýÀº n À» 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

18. 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

ÇØ¼³ ¼Óµµ´Â 40miles ¿¡¼- 48miles ·Î º¯È-ÇÏ¿© 20% Áõ°¡ÇÏ¿´À¸¸ç , ½Ã°£Àº 5 ºÐÀÌ ´ÜÃàµÇ¾ú
½À´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»ý
6
ÇÏ´Â ½Ã°£ÀÇ Â÷ÀÌ 5 ºÐÀÌ µÇ´Â °Í ÀÔ´Ï´Ù. °á±¹ 40 mile ÀÇ ¼Óµµ·Î 30 ºÐ°£ ÃÑ 20mile ÀÇ °Å¸®
¸¦ ´Þ¸° °ÍÀÔ´Ï´Ù.
Á¤´äÀº (A)ÀÔ´Ï´Ù.
ÇØ¼³ 2 µµÂøÇÏ°í ½ÍÀº ½Ã°£À» T ¶ó °¡Á¤ÇÏ°í 12 ºÐ°ú 7 ºÐ ´Ê¾ú´Ù´Â °ÍÀº T ¿¡ ´õÇØÁÖ´Â ½Ä
À¸·Î À¯µµÇÏ¸é: 40 miles(T + 12 minutes) = 48miles(T+7minutes)
ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é T= 18 minutes À» ±¸ÇÒ ¼ö ÀÖ³×¿ä. ¾Æ¹« °÷¿¡ T ¸¦ ´ëÀÔÇØ¼- Ç®¸é °Å¸®¸¦
±¸ÇÒ ¼ö ÀÖÁÒ. ´Ü ¿©±â¼-´Â ´ÜÀ§´Â hours ÀÌ¹Ç·Î minutes À» hours ·Î ¹Ù²ã¾ß°Ú³×¿ä!!!

19. Cars P and Q started simultaneously from opposite ends of a straight 300-mile
expressway and traveled toward each other, without stopping, until they passed at
location X . To the nearest mile, how many miles of the expressway had car P
traveled when the two cars passed each other?
(1) Up to location X , the average speed of car Q was 15 miles per hour faster
than that of car P .
1
(2) Up to location X , the average speed of car Q was 1 times that of car P .
3

ÇØ¼³ 1 ÀÚµ¿Â÷ Q ¿Í ÀÚµ¿Â÷ P °¡ 300miles ¶³¾îÁø Àå¼ÒÀÇ ¾çÂÊ ³¡¿¡¼- µ¿½Ã¿¡ Ãâ¹ßÇÏ¿´À»
¶§ µÎ ÀÚµ¿Â÷°¡ ¸¸³ª´Â ÁöÁ¡À» ¹°¾î º¸°í ÀÖ½À´Ï´Ù. Point ´Â µÎ ÀÚµ¿Â÷°¡ ¸¸³ª´Â ÁöÁ¡Àº Q
¿ÍP °¡ ¿Â °Å¸®¸¦ ÇÕÄ¡¸é Ç×»ó 300 miles ÀÌ°í ¼Óµµ¿¡ »ó°ü¾øÀÌ ½Ã°£Àº P ¿Í Q °¡ ¶È°°ÀÌ
°É¸°´Ù´Â Á¡ÀÔ´Ï´Ù. ¼Óµµ´Â ´Ù¸£Áö¸¸ °É¸° ½Ã°£Àº µ¿ÀÏÇÏ´Ù´Â ¶æÀÌÁÒ.
Statement(1) ÀÚµ¿Â÷ Q ÀÇ ¼Óµµ°¡ ÀÚµ¿Â÷ P º¸´Ù 15miles °¡ ºü¸£´Ù°í °¡¸£ÃÄ ÁÖ°í ÀÖ½À´Ï´Ù.
(1)¸¸ °¡Áö°í´Â ´äÀ» À¯µµÇÒ ¼ö ¾øÁÒ.
Statement(2) µÎ ÀÚµ¿Â÷ÀÇ ¼ÓµµºñÀ²À» °¡¸£ÃÄ ÁÖ°í ÀÖÀ¸¸ç ÀÚµ¿Â÷ Q °¡ 4 ¸¸Å-ÀÇ °Å¸®¸¦ °¥
¶§ ÀÚµ¿Â÷ P ´Â 3 ¸¸Å-ÀÇ °Å¸®¸¦ °£´Ù°í ÇÒ ¼ö ÀÖ½À´Ï´Ù . ÀÌ ºñÀ²¸¸À» °¡Áö°í ÁÖÇàÇÑ °Å¸®
¸¦ ±¸ÇÒ ¼ö ÀÖ½À´Ï´Ù. Áï, µÎ Â÷°¡ ¸¶ÁÖÄ¥ ¶§ ÀÚµ¿Â÷ Q ´Â ÀüÃ¼ °Å¸®ÀÇ 4/7 À» ÀÚµ¿Â÷ P ´Â
ÀüÃ¼°Å¸®ÀÇ 3/7 À» ´Þ·ÈÀ» ¶§ ÀÔ´Ï´Ù.
ÇØ¼³ 2 ´Ù¸¥ ¹æ¹ýÀº P ¿Í Q °¡ °É¸° ½Ã°£ÀÌ µ¿ÀÏÇÏ´Ù°í ³õ°í ¸¸³ª´Â ÁöÁ¡À» X ¶ó ÇÏ¸é:
X 300 − X ÀÌ ½ÄÀ» Á¤¸®ÇÏ¸é X °ªÀ» ±¸ÇÒ ¼ö ÀÖÁÒ.
Time = =
Q ( speed ) 4
Q ( speed )
3

∴ℑ⁄×™ℵ≡
(B)ÀÔ´Ï´Ù.



20. 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

ÇØ¼³ 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 = 65 À» ±¸ÇÒ ¼ö ÀÖ´Ù. ±× ´ÙÀ½Àº 10miles ´õ »¡¸® ±×¸®°í 2 ½Ã°£ ´õ ÁÖÇàÇÑ´Ù¸é,
(s + 10) × (2 × h ) = D + X , ¿©±â¼- ±¸ÇÒ °ªÀº X ÀÌ°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.

∴ℑ⁄×™ℵ≡
(D)ÀÔ´Ï´Ù.


Sample 8

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