(A) 0 (B) (C) (D) (E) 1
116. 12050-!-item-!-187;#058&008561
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
(A) (B) (C) (D) (E)
117. 12100-!-item-!-187;#058&008590
There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
(A) (B) (C) (D) (E)
118. 12146-!-item-!-187;#058&008756
For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 12 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N units in one hour, where N is a positive integer?
(A) 12 + 50N (B) 12 + 2N (C) 62N (D) 37N (E) 25N
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B
【思路】這題其實不難,但被閱讀卡住
主要問有多少assembly line worker and managers that factory requires to produce50N units in one hour The factory also requires 12 managers regardless of the number of units to be produced.---不管工廠生產的產品數量有多少, 工廠經理的編制都需要12人
一條線一小時生產25 unit所以生產50N需要2N workers thus, total number=12+2N
------------------------------------------------------------------------------------------------------------------------------------
119. 12192-!-item-!-187;#058&008830
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet = 1 acre)
(A) $5,330
(B) $3,630 (C) $1,350 (D) $360 (E) $150
------------------------------------------------------------------------------------------------------------------------------------ 【答案】E
【思路】360x605=217,800
217,80043,560=5 (acres), the farmer pay5x30=$150 per month to rent a rectangular plot of farmland
that is 360
feet by 605 feet
------------------------------------------------------------------------------------------------------------------------------------
120. 12241-!-item-!-187;#058&008920
The diameter of circle S is equal in length to a side of a certain square. The diameter of circle T is equal in length to a diagonal of the same square. The area of circle T is how many times the area of circle S ?
(A) (B) (C) 2 (D) (E)
121. 12343-!-item-!-187;#058&009002
Pat, Kate, and Mark charged a total of 162 hours to a certain project. If Pat charged twice as much time to the project as Kate and [?] as much time as Mark, how many more hours did Mark charge to the project than Kate?
(A) 18 (B) 36 (C) 72 (D) 90 (E) 108
122. 12443-!-item-!-187;#058&009133
If n is a positive integer, which of the following must be an even integer?
(A) n + 1 (B) n + 2 (C) n^2 + 2 (D) n^2 + n (E) n^2 + 2n
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】positive integer 包含奇數,偶數, and o (A)n + 1,假設n=2, n+1=3≠even integer (B)n + 2,假設n=1,n+2=3≠even integer (C)n(E)n22?2,假設n=3,n2?2=9+2=11≠even integer ?2n,假設n=3,n2?2n=9+6=15≠even integer
(D)n2?n,假設n=3,n2?n=9+3=12=even integer;假設n=2,n2?n=4+2=6=even integer;
2假設n=0,n?n=0=even integer, must be an even integer.
------------------------------------------------------------------------------------------------------------------------------------
123. 12489-!-item-!-187;#058&009157
Of the 100 passengers who entered a railroad station, 10 passengers had 4 pieces of luggage each, 20 had 5 pieces of luggage each, 50 had 2 pieces of luggage each, and the rest had no luggage. What was the average (arithmetic mean) number of pieces of luggage per passenger?
(A) 1 (B) 1.4 (C) 2 (D) 2.4 (E) 3
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】沒有luggage的有:100-10-20-50=20 total luggage=10x4+20x5+50x2+20x0=240
the average (arithmetic mean) number of pieces of luggage per passenger=
240?2.4 100------------------------------------------------------------------------------------------------------------------------------------
124. 12535-!-item-!-187;#058&009197
A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?
(A) 4 (B) 8 (C) 16 (D) 32 (E) 64
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】一個長方形有個fence,這個fence有三邊組成,另一邊是靠牆(表示沒有fence)
牆壁對面的length是其他兩邊的兩倍,假設其他兩邊length=x, thus牆壁對面的length=2x
the area=2x=128,x=8 thus牆壁對面的length=16
the total length of the fence=8+8+16=32(小心!有一邊是靠牆)
------------------------------------------------------------------------------------------------------------------------------------
125. 12583-!-item-!-187;#058&009318 Of the following, which is greatest? [?]
(A) (B)
(C) 3^(-2) (D) 5^(-2) (E) 2^3
126. 12631-!-item-!-187;#058&009380
9.4 9.9 9.9 9.9 10.0 10.2 10.2 10.5
The mean and the standard deviation of the 8 numbers shown are 10.0 and 0.3, respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
(A) 90% (B) 85% (C) 80%
2(D) 75% (E) 70%
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】
1 standard deviation of the mean 表示 10-0.3 9.7＜9.9 9.9 9.9 10.0 10.2 10.2＜10.3 有六個數在之中9.7和10.3之間, 6=75% 8------------------------------------------------------------------------------------------------------------------------------------ 127. 12731-!-item-!-187;#058&009562 In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling prices was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,100. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June? (A) $15,600 (B) $15,750 (C) $16,820 (D) $18,100 (E) $19,200 ------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】 the range of the selling prices was $15,000, the lowest selling price was $4,500 可得五月最大值15000+4500=19500 the range of the selling prices was $16,500 and the lowest selling price was $6,100可得六月最大值16500+6100=22600 22600-4500=18100 ------------------------------------------------------------------------------------------------------------------------------------ 128. 12783-!-item-!-187;#058&009601 [?] In the figure shown, the length of line segment QS is . What is the perimeter of equilateral triangle PQR ? (A) 12 (B) (C) 24 (D) (E) 48 129. 12829-!-item-!-187;#058&009608 A television network sells advertising time on a certain program at the rate of $10,000 per minute. If the program is shown once a day for 5 days a week, what is the cost of advertising on this program for 3 weeks at 30 seconds per day? (A) $15,000 (B) $25,000 (C) $75,000 (D) $90,000 (E) $150,000 ------------------------------------------------------------------------------------------------------------------------------------ 【答案】C 【思路】 30秒 等於0.5分 5×3×0.5×10000=75000 ------------------------------------------------------------------------------------------------------------------------------------ 130. 12875-!-item-!-187;#058&009671 If (400)(6,000) = (240)(100^x), what is the value of x ? (A) 5 (B) 4 (C) 3 (D) 2 (E) 1 ------------------------------------------------------------------------------------------------------------------------------------ 【答案】D 【思路】 (400)(6,000)=(2400)(1000)=(240)(10000)=(240)(100) X=2 ------------------------------------------------------------------------------------------------------------------------------------ 131. 12921-!-item-!-187;#058&009694 If x is an even integer and y is an odd integer, which of the following is even? (A) 3x + 4y - 1 (B) 3x + 3y - 2 (C) 4x + 4y + 1 (D) 4x + 3y + 2 (E) 4x + 3y + 1 ------------------------------------------------------------------------------------------------------------------------------------ 2