【答案】E 【思路】
x is an even,x乘以偶數還是偶數, 4x為偶數
y is an odd,y乘以奇數結果為奇數, 3y為奇數,可得3y+1為偶數 故4x + 3y + 1為偶數
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132. 13076-!-item-!-187;#058&009801 [?]
(A) 3^(-6) (B) 3^(-5) (C) 3^(-1) (D) 3^5 (E) 3^6
133. 13123-!-item-!-187;#058&009850
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?
(A) 10 (B) 20 (C) 40 (D) 80 (E) 100
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C 【思路】
4!5!=40 *1!?4?1?!2!?5?2?!------------------------------------------------------------------------------------------------------------------------------------
134. 13169-!-item-!-187;#058&009883 [?]
If x is an integer, which of the following must be an odd integer?
(A) 2x + 2 (B) 4x + 3 (C) 13x (D) 14x (E)
135. 13220-!-item-!-187;#058&009935
Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a
constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time, in hours, that machine B must operate?
(A) 4 (B) (C) (D) 6 (E)
136. 13320-!-item-!-187;#058&009993
A school purchased 2 computers whose prices were $1,000 and $2,000, respectively. The school is to purchase 2 more computers from a list of computers whose prices range from $1,000 to $2,000, inclusive. The greatest possible average (arithmetic mean) price of the 4 computers is how much greater than the least possible average price of the 4 computers?
(A) $250 (B) $500 (C) $750 (D) $1,000 (E) $1,250
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
其餘的兩台電腦以最大值（2000）和最小值（1000）代入算平均值。 (1000+2000+2000+2000)/4 – (1000+2000+1000+1000)/4 = 500
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137. 13366-!-item-!-187;#058&010014
Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
(A) $368 (B) $380 (C) $400 (D) $420 (E) $432
------------------------------------------------------------------------------------------------------------------------------------ 【答案】E 【思路】
設x為原價。
1.08x = 1.05x+12 X = 12/0.03 = 400 1.08x = 432
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138. 13412-!-item-!-187;#058&010022
A grocer stacked oranges in a pile. The bottom layer was rectangular with 3 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
(A) 5 (B) 4 (C) 3 (D) 2 (E) 1
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【答案】C 【思路】
以這題簡單的程度來看，畫圖最快。也可以想成是五個位子選兩個一起的位子有幾個？直向x橫向。
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139. 13466-!-item-!-187;#058&010025 [?]
The figure shows the top side of a circular medallion made of a circular piece of colored glass surrounded by a metal frame, represented by the shaded region. If the radius of the medallion is r centimeters and the width of the metal frame is s centimeters, then in terms of s and r, what is the area of the metal frame, in square centimeters?
(A) (B) (C) (D) (E)
140. 13512-!-item-!-187;#058&010037
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H,
working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour?
(A) 7 (B) 8 (C) 12 (D) 13 (E) 15
------------------------------------------------------------------------------------------------------------------------------------ 【答案】A 【思路】
H 每小時作 40/8=5 acres. 60 acres要花12小時。 111?? 12K5K= 60/7 (K作60 acres所花的時間) 60/(60/7)=7 (每小時收成的acres)
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141. 13558-!-item-!-187;#058&010099
A charitable organization has a goal of raising $300,000 in 100 days. If it raised $200,000 in the first 60 days, what is the average (arithmetic mean) number of dollars per day that it must raise for the last 40 days in order to achieve its goal?
(A) $2,500 (B) $3,000 (C) $5,000 (D) $6,000
(E) $7,500
------------------------------------------------------------------------------------------------------------------------------------ 【答案】A 【思路】
300,000-20,000=10,000 必頇在40天完成10,000的目標 10,000/40 = 2,500
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142. 13607-!-item-!-187;#058&010106 [?]
On the number line shown, the tick marks are equally spaced. What is the value of y - x ?
(A) 4 (B) 6 (C) 8 (D) 9 (E) 10
143. 13707-!-item-!-187;#058&010123
Of the 50 employees of a certain company, 30 earn an average (arithmetic mean) salary of $30,000, 15 earn an average salary of $40,000, and 5 earn an average salary of $60,000. What is the average salary earned by the employees of this company?
(A) $30,000 (B) $36,000 (C) $40,000 (D) $45,000 (E) $50,000
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
5x6x30K?5x3x40K?5x60K6x30K?3x40K?60K==36K
5010------------------------------------------------------------------------------------------------------------------------------------
144. 13921-!-item-!-187;#058&010164 [?]
The table shows the quantities of eggs, flour, and sugar used by a certain baker to make one cake of each of the three different types. If the baker had 24 eggs, 30 cups of flour, and 10 cups of sugar available and had to make 2 angel food cakes and 1 devil's food cake, what is the maximum number of pound cakes that the baker could make with the remaining ingredients?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 8
145. 13967-!-item-!-187;#058&010235
At 12:00 noon, the temperature in a certain storage room was 64. If the temperature in the storage room decreased at a constant rate of 2 per hour for the next 8 hours, what was the temperature in the storage room at 8:00 in the evening?
(A) 2 (B) 8
(C) 16 (D) 48 (E) 54
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】64-(8*2)=48
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146. 14067-!-item-!-187;#058&010315
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose a 3-member committee, which must have at least 1 member who teaches French, how many different committees can be chosen?
(A) 40 (B) 50 (C) 64 (D) 80 (E) 100
------------------------------------------------------------------------------------------------------------------------------------ 【答案】E 【思路】
at least 1 member who teaches French ? 表示有可能只有一位法文老師，也有可能是兩位或三位 三位中，一位是法文老師? C4取1 * C6取2 =(四位法文老師選一位) * (剩下六位老師選兩位)=60 三位中，兩位是法文老師? C4取2 * C6取1 =(四位法文老師選兩位) * (剩下六位老師選一位)=36 三位全是法文老師? C4取3 * C6取0 =(四位法文老師選三位) * (剩下六位老師選零位)=4 P=60+36+1=100
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147. 14926-!-item-!-187;#058&010459
Last semester an assistant was paid a total of $800 for grading papers in a class of 37 students. If each student handed in 7 papers and the assistant graded all of these papers, then, to the nearest whole dollar, the assistant's pay per paper graded was
(A) $5 (B) $4 (C) $3 (D) $2 (E) $1
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C 【思路】
Total papers reviewed: 37*7=259
Pay per paper=800/259=3.0888030888… to the nearest whole dollar?3
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148. 15080-!-item-!-187;#058&010499
Amy's grade was the 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's, and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?
(A) 72nd (B) 80th (C) 81st (D) 85th (E) 92nd
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】
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