哪位牛人帮忙解答啊，下周就考试了，谢谢啊

silas

①7.
                905-!-item-!-187;#058&000575   (e)

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

 

 

②33.       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

 

答案是B ，
            我选的是A 。X 不是应该小于4 的吗? 4^4 > 100

 

③] 72.    8363-!-item-!-187;#058&005969

A thin piece of wire 40 meters long is cut into two pieces.  One piece is used to form a circle with radius r, and the other is used to form a square.  No wire is left over.  Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r ?

 

(A) 

(B) 

(C) 

(D) 

(E) 

题目不全，
            哪位大侠帮忙补一下

还有最后叫求的是笔试正方形和园的面积吗？in square meters, of the circular and the square regions in terms of r ?
            作何理解？

 

④149.     15609-!-item-!-187;#058&010412   b

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) $0.60

(B) $0.70

(C) $0.80

(D) $0.90

(E) $1.00

怎么算都是0.8 方案一
            分别为 0.1  0.4 0.7 1.0；方案二：0.1  0.2  0.4  0.8

 

⑤173.     18259-!-item-!-187;#058&011463

In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon.  Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?

题目看不懂，谁能解释一下？

 

 

⑥175.     18356-!-item-!-187;#058&011490

Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income.  Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is I ?

 

答案是
                50 +I/40

题目看不懂，谁能解释一下？

 

⑦123.     12975-!-item-!-187;#058&009772

When positive integer n is divided by 3, the remainder is 2; and when positive integer t is divided by 5, the remainder is 3.  What is the remainder when the product nt is divided by 15 ?

 

(1) n - 2 is divisible by 5.

 

(2) t is divisible by 3.

 

⑧费费

有三个队每对派出三个人参加一个比赛，如果一对中一个人最后的了N名，那么这个队就得了6-N 分，1<=N<=5,没有平局，如果没有一个队超过6分，文三队中最低得分可能是多少？

答案是3.

clifford_a

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

 

key:2(1x2x3x.....x49x50)+1
 

note that for any prime number p such that 1<p<50 undivisible by the number of the form  2(1x2x3x.....x49x50)+1(note that add 1)
 

so the pirme number p must greater than 50.so E is the answer you seek.
 

 

i will solve the rest of the problem tomorrow,I am so tired but couldn fall asleep.

good luck

[此贴子已经被作者于2009/8/10 14:14:48编辑过]

clifford_a

2.note that greatest possible value of x which means x not restrict to integer.so 3<x

<4 then B is the right answer

3.represent the area of the sum of circle and square with r.you can settle it by yourself.easy

4.you didn't get the points of the questions

 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.in other words,the sequence should be 0.1 0.2 0.4 0.7(of 0.7 of the results of 0.4+0.3 note the red labeled parts you will find the reason why)

5.in terms of 1 gallon:the equation should be 1.04d+0.18=p then p=(p-0.18)/1.04

6.add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income

0.02I+(100+0.01I)/2 that is what the above sentence mean.

[此贴子已经被作者于2009/8/10 14:17:42编辑过]

clifford_a

7 the answer should be C

n=3i+2

t=5j+3

so.nt=15ij+10j+9i+6

then go to condition 1:we got n-2=3i and the factor of i must contain 5.

as I did above.we got the factor of j must contain 3.

So condition 1 and 2 conbined otherwise nothing we could conclude.

look forward ur answer...

如果一对中一个人最后的了N名？什么意思啊？

 

[此贴子已经被作者于2009/8/10 14:43:10编辑过]