3. 664-!-item-!-187;#058&000504
A certain taxi company charges $3.10 for the first [?] of a mile plus $0.40 for each additional of a mile. What would this company charge for a taxi ride that was 8 miles long?
4. 765-!-item-!-187;#058&000550
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
6. 859-!-item-!-187;#058&000568
The value of is closest to which of the following?
(A) 1
(B) 10
(C) 102
(D) 103
(E) 104
7. 905-!-item-!-187;#058&000575
For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is
(A) between 2 and 10
(B) between 10 and 20
(C) between 20 and 30
(D) between 30 and 40
(E) greater than 40
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【答案】E
【思路】
假設h(100)+1最小因數是 n , n<50
例如47好了, 既然47是因數, 他就能整除h(100)+1
可是發現h(100)裡面有47的因數,可以整除 那h(100)+1被47除的餘數為1,表示47不是h(100)+1的因數
同理去想 小於50的其它因式 也是會一樣的結果
所以h(100)+1的因式是在 大於50外
重點在那50!, 假如 小於50的質數是h(100)的factor,那就不會是h(100)+1的factor ,因為餘數會是1作者: SiLi 时间: 2010-7-12 17:42
9. 1700-!-item-!-187;#058&001066
Last year the range of the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, what is the range of the annual salaries of the 100 employees this year?
(A) $27,000
(B) $30,000
(C) $33,000
(D) $36,000
(E) $63,000
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【答案】C
【思路】Last year the range of the annual salaries of the 100 employees at Company X＝30,000（假設最大annual salaries=50,000,最小annual salaries=20,000）
又今年比去年annual salary漲10％ 表示the range of the annual salaries of the 100 employees this year=50,000x(1.1)-20,000x(1.1)=33,000作者: SiLi 时间: 2010-7-12 17:42
13. 1898-!-item-!-187;#058&002486
If m lies between the integers p and s on the number line shown, which of the following is a possible value for m ?
(A) √17
(B) √4
(C) 2.9
(D) 20/4
(E) 10/3
15. 2160-!-item-!-187;#058&002594
At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
27. 3330-!-item-!-187;#058&003295
38, 69, 22, 73, 31, 47, 13, 82
Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers in the list above?
43. 5768-!-item-!-187;#058&004705
A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
48. 6225-!-item-!-187;#058&004914
A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
(A) 10,700
(B) 10,800
(C) 10,900
(D) 11,000
(E) 11,100
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【答案】D
【思路】假設the minimum possible population that the least population district could have=x
且假設其他10個voting district的人口 more than10percent
x+(x+0.1x)x10=132,000
x=11,000作者: SiLi 时间: 2010-7-12 17:44
51. 6587-!-item-!-187;#058&005111
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute, and gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 6 more revolutions than gear P ?
58. 7090-!-item-!-187;#058&005463
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the graduating class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
(A) 0.90
(B) 0.70
(C) 0.45
(D) 0.30
(E) 0.25
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【答案】B
【思路】
設the graduating class 共有x位學生
Male 有 人
Female有 人
Male且25 years old or older有 ＝0.192x
Female且25 years old or older有 =0.104x
求少於25歲的人數比例，
1-0.296=0.704作者: SiLi 时间: 2010-7-12 17:45
68. 8012-!-item-!-187;#058&005726
The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
(A) 17
(B) 16
(C) 15
(D) 14
(E) 13
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【答案】E
【思路】
75為the sum of the squares of 3 different positive integers
=81 ＞75
故3 different positive integers需小於9
7＋5＋1=13作者: SiLi 时间: 2010-7-12 17:45
77. 9031-!-item-!-187;#058&006222
At a dinner party, 5 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
(A) 5
(B) 10
(C) 24
(D) 32
(E) 120
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【答案】C
【思路】
若為一直線排法 為5！
但此題目為圓形
五個人排圈圈...
ABCDE
BCDEA
CDEAB
DEABC
EABCD
都是一樣
故排圈圈時就是5!/5=4!
除以五是為了消除每次相鄰位置改變時都會有重複的情況作者: SiLi 时间: 2010-7-12 17:46
85. 9735-!-item-!-187;#058&006716
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
(A) 20%
(B) 25%
(C) 30%
(D) 33%
(E) 40%
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【答案】B
【思路】
設年初價格為X 故第一季為120%X 第二季為150%X
故 ＝25%作者: SiLi 时间: 2010-7-12 17:47
116. 11659-!-item-!-187;#058&007807
A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 60 sibling pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
(A)
(B)
(C)
(D)
(E)
139. 14108-!-item-!-187;#058&009811
A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?
142. 14580-!-item-!-187;#058&010013
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
149. 15609-!-item-!-187;#058&010412
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?
(A) less than 3
(B) equal to 3
(C) between 3 and 4
(D) equal to 4
(E) greater than 4
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154. 16003-!-item-!-187;#058&010661
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n ?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
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【答案】 B
【思路】990=2*3*5*3*11 題目問the least possible 可知 至少要乘到11才能夠是990的倍數
故答案為B作者: SiLi 时间: 2010-7-12 17:52
183. 19877-!-item-!-187;#058&012576
A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?
(A) 16
(B) 17
(C) 19
(D) 20
(E) 22
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【答案】A
【思路】
187. 20334-!-item-!-187;#058&012770
If 0 < r < 1 < s < 2, which of the following must be less than 1 ?
I. r/s
II. rs
III. s - r
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III
33. 4484-!-item-!-187;#058&004004
If x^4 + y^4 = 100, then the greatest possible value of x is between
(A) 0 and 3
(B) 3 and 6
(C) 6 and 9
(D) 9 and 12
(E) 12 and 15
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【答案】B
【思路】
,所以 the greatest possible value of x is between3 and 6作者: SiLi 时间: 2010-7-12 17:53
62. 7564-!-item-!-187;#058&005577
Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
In the addition table shown above, what is the value of m + n ?
(A) -19
(B) 4
(C) 5
(D) 6
(E) 22
93. 10285-!-item-!-187;#058&007154
In the figure above, a square is inscribed in a circle. If the area of the square region is 16, what is the area of the circular region?
(A) 2π
(B) 4π
(C) 6π
(D) 12π
(E) 16π
106. 11122-!-item-!-187;#058&007588
If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0, which of the following values is more than
2.5 standard deviations from the mean?
(A) 12.0
(B) 13.5
(C) 17.0
(D) 23.5
(E) 26.5
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【答案】 A
【思路】 more than 2.5 standard deviations from the mean
20-(2.5*3)大於所求的value or 所求的value 大於 20+(2.5*3)
A~E答案中只有A符合 答案A作者: SiLi 时间: 2010-7-12 17:53
131. 13459-!-item-!-187;#058&009437
If the speed of x meters per second is equivalent to the speed of y kilometers per hour, what is y in terms of x ?
(1 kilometer = 1,000 meters)
(A) 5x/18
(B) 6x/5
(C) 18x/5
(D) 60x
(E) 3,600,000x
47. 6013-!-item-!-187;#058&004836
is between
(A) 300 and 400
(B) 400 and 500
(C) 500 and 600
(D) 600 and 700
(E) 700 and 800
83. 9589-!-item-!-187;#058&006669
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 73 scores?
(A) 60-69
(B) 70-79
(C) 80-89
(D) 90-99
(E) It cannot be determined from the information given.作者: she9527 时间: 2010-7-12 18:10
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