求几道数学题详解，谢谢（可能有点多，求高手解答）

PANTENTPIG

Q31:

A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n.What is the greatest two-digit prime-saturated integer?



A.99

B.98

C.97

D.96

E.95                    （看不懂题目）
Q12:

There are 11 women and 9 men in a certain club.If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?



A.120

B.720

C.1,060

D.1,520

E.1,980

Q26:

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks.How many possible selections of 4 books from this self include at least one paperback?



A.40

B.45

C.50

D.55

E.60

Q14:

How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?(1 mile = 1,160 yards)



A.8

B.9

C.10

D.11

E.12                    

Q16:

If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?

(1)2 is not a factor of n.

(2)3 is not a factor of n.



A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

Q18:

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m.By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?



A.k/m %

B.(k-m) %

C.[100(k-m)]/(100+k) %

D.[100(k-m)]/(100+m) %

E.[100(k-m)]/(100+k+m) %

Q5:

A certain club has 20 members.What is the ratio of the member of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?


A.16 to 1
B.15 to 1
C.16 to 5
D.15 to 6
E.5 to 4
Q29:

If x > 0.9, which of the following could be the value of x?


A.√0.81
B.√0.9
C.(0.9)²
D.(0.9)(0.99)
E.1 - √0.01           (不明白题目什么意思
Q33:

If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?


A.1
B.3
C.7
D.11
E.20
Q3:

If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?


A.20
B.40
C.50
D.80
E.120
Q22:

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.In how many ways can the company assign 3 employees to 2 different offices?


A.5
B.6
C.7
D.8
E.9            （我怎么算都只有4，求解）

Q28:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper B, which of the following expresses r in terms of p?


A.100p / (125 – p)
B.150p / (250 – p)
C.300p / (375 – p)
D.400p / (500 – p)
E.500p / (625 – p)
Q7:

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department.If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?


A.42
B.70
C.140
D.165
E.315
Q16:

Is │x - y│>│x - z│?
(1)│y│>│z│
(2)x < 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
再次感谢各位
Q30:（图在下面）

In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.What is the area of the triangular region BCE?



A.1/3

B.(Ö2)/4

C.1/2

D.(Ö2)/2

E.3/4                            （答案说B，我怎觉得不妥）



Q3:

Q22:

A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.In how many ways can the company assign 3 employees to 2 different offices?


A.5
B.6
C.7
D.8
E.9            （我怎么算都只有4，求解）

Q28:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day.If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper B, which of the following expresses r in terms of p?


A.100p / (125 – p)
B.150p / (250 – p)
C.300p / (375 – p)
D.400p / (500 – p)
E.500p / (625 – p)
Q7:

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department.If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?


A.42
B.70
C.140
D.165
E.315
.
我没学过概率，希望有详细解答，再次感谢各位  不知道有没有题目发重复了，请海涵

PANTENTPIG

不好意思，30题的题目的图片没发成功，补下

sdcar2010

You need to study a few English books on maths before posting these problems and asking for help.  And you need to improve your English comprehension as well.

For example, the following question is a very simple one:

If x > 0.9, which of the following could be the value of x?
A.√0.81
B.√0.9
C.(0.9)2
D.(0.9)(0.99)
E.1 - √0.01           (不明白题目什么意思

It simply asks you to pick a value from A to E for x, so that x is greater than 0.9.
A) Do you know the value for the square root of 0.81? Could the value be greater than 0.9?
B) Do you know the value for the square root of 0.9? Could the value be greater than 0.9?
C) ...
D) ...
E) ...

Then you can get the answers for this question.

lsbhome

A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n.What is the greatest two-digit prime-saturated integer?

如果一个正整数n的所有不同的质因子的乘积小于n的平方根，那么这个数叫做“prime-saturated”，下列最大的两位“prime-saturated”是几？
列如：99=3*3*11 其不同质因子乘积为33，平方根为9.x，所以就不满足
98=2*7*7,14>9.x
97是质数
96=2^5x3,6<9.x，满足
95=5x19,不满足
A.99
B.98
C.97
D.96
E.95                    （看不懂题目）