80*(1-90%) =8 ? There are 8 people ahead of Amy in her class
Combined with another class, there are 19+8=27 people’s grades ahead of Amy’s.
# of people whose grades below Amy’s / total people of twp class ? (100+80-27)/(100+80)=85%
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149. 15127-!-item-!-187;#058&010506
To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed. If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?
(A) $1,600 (B) $1,625 (C) $1,650 (D) $1,675 (E) $1,700
------------------------------------------------------------------------------------------------------------------------------------ 【答案】A 【思路】
Down to the nearest $100 ? $34,500*5%=$1,725 (the nearest $100 will be $1,700) $1,700-50*2=$1,600
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150. 15173-!-item-!-187;#058&010507
The area of a square garden is A square feet and the perimeter is P feet. If A = 2P + 9, what is the perimeter of the garden, in feet?
(A) 28 (B) 36 (C) 40 (D) 56 (E) 64
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
A=(P/4)^2 ? A=P^2/16
A = 2P + 9 (given) ? P^2/16=2P+9 ? P^2-32P-144=0 ? (P-36)(P+4)=0 ? P=36
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151. 15220-!-item-!-187;#058&010594 Which of the following is closest to [?]
(A) 4 (B) 7 (C) 9 (D) 12 (E) 16
152. 15432-!-item-!-187;#058&010733
Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T ?
(A) 6 (B) 12 (C) (D) (E)
153. 15587-!-item-!-187;#058&010762
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each
machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
(A) $10,000 (B) $11,200 (C) $12,000 (D) $12,800 (E) $13,200
------------------------------------------------------------------------------------------------------------------------------------ 【答案】E
【思路】Machine A: 20000?2?40000 down payment: 40000?20%?8000 remainder:40000-8000=32000
finance charge: 32000?40%?12800 total:40000+12800=52800
Machine B:50000 down payment: 50000?20%?10000 remainder:50000-10000=40000
finance charge: 40000?40%?16000 total:50000+16000=66000
difference between two arrangement:66000-52800=13200
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154. 15633-!-item-!-187;#058&010772
Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had
(A) a profit of $10 (B) a profit of $8 (C) a loss of $8 (D) a loss of $10
(E) neither a profit nor a loss
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C
【思路】設賺的股票原本價格X 賠的股票原本價格Y 1.2X=96 X=80 原本價格 96-8-=16賺 0.8Y=120 Y=120原本價格 120-96=24 賠 24-16=8…LOSS
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155. 16166-!-item-!-187;#058&010984
A certain brand of gasoline costs $1.25 per gallon. Using this gasoline, if a car averages 30 miles to the gallon, what is the cost of the gasoline needed for the car to travel 120 miles?
(A) $4.50 (B) $5.00 (C) $5.50 (D) $6.00 (E) $6.50
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
120?30?4
1.25?4?5------------------------------------------------------------------------------------------------------------------------------------
156. 16266-!-item-!-187;#058&011027
A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter
contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
(A) 8 (B) 12 (C) 15 (D) 21 (E) 27
------------------------------------------------------------------------------------------------------------------------------------ 【答案】E
【思路】因為Equal number 表示可以一個或兩個
62C16?C12?C2?C2?27
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157. 16315-!-item-!-187;#058&011053
If k and t are integers and k2 - t2 is an odd integer, which of the following must be an even integer? [?]
(A) None (B) I only (C) II only (D) III only
(E) I, II, and III
158. 16365-!-item-!-187;#058&011058
If x and y are positive, which of the following must be greater than [?] [?]
(A) (B) None (C) I only (D) II only (E) I and III
159. 16573-!-item-!-187;#058&011089
What is the greatest prime factor of 417 - 228 ?
(A) 2 (B) 3 (C) 5 (D) 7 (E) 11
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】找最大質因數 189 = 3的三次方與7的一次方, 最大質因數7
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160. 16619-!-item-!-187;#058&011092
An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
(A) 3 (B) 4 (C) 5
(D) 6 (E) 8
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】2 (4與6-cyline) ?2 (MANUL OR automatic) + 1(6-cyline with hitch) ? 2 (manul or automatic) 4+2=6
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161. 16989-!-item-!-187;#058&011313
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F =
120[2^(-at)] + 60, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
(A) 65 (B) 75 (C) 80 (D) 85 (E) 90
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B
【思路】先將10帶入方程式t得位置 求出a 再將30帶入方程式 求出解
?10a??120?2???60?1201 a?
101??30??10?120?2??60?75??------------------------------------------------------------------------------------------------------------------------------------
162. 17416-!-item-!-187;#058&011441
If x is an odd integer, which of the following is also an odd integer?
(A) 2x (B) 4x + 2 (C) x2 + 3 (D) x2 + x + 3 (E) x2 + 2x + 1
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】A. 2乘以任何數=偶數 B..偶數+偶數=偶數 C. 奇數+奇數=偶數
D. 奇數+奇數+奇數=奇數 E. 奇數+偶數+1=偶數
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163. 17463-!-item-!-187;#058&011464
The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
(A) 0.80 (B) 1.25 (C) 8.00
(D) 12.50 (E) 80.00
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
體積1?100?100?100??1.25 g800?1000------------------------------------------------------------------------------------------------------------------------------------
164. 17509-!-item-!-187;#058&011499
Lisa bought a house for $70,000 and paid closing costs equal to 2 percent of the purchase price. Later Lisa sold the house for $82,000 and paid a broker's commission equal to 10 percent of the selling price. What was Lisa's profit from the two transactions?
(A) $2,160 (B) $2,400 (C) $3,600 (D) $3,800 (E) $12,000
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B
70000?1.02?71400【思路】82000?0.9?73800
73800?71400?2400------------------------------------------------------------------------------------------------------------------------------------
165. 17668-!-item-!-187;#058&011589
A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray's surface is not covered by the cloth?
(A) (B) (C) (D) (E)
166. 17879-!-item-!-187;#058&011634 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
(A) One (B) Two (C) Three (D) Four (E) Five
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】Mean=
70?75?80?85?90?105?105?130?130?130?100
10more than 1 standard deviation below the mean 表示要超過一個標準差100-22.4=77.6 以下 只有 70 75 2個數
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