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感谢帮助5道GWD数学题,万分感谢!

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楼主
发表于 2009-7-11 00:07:00 | 只看该作者

感谢帮助5道GWD数学题,万分感谢!

1

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

Answer: D

2

In the xy-plane, the point (-2, -3) is the center of a circle.  The point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle.  If the radius r of the circle is an integer, then r =

 

A.     6

B.     5

C.     4

D.     3

E.      2

Answer: B

3

 In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships.  What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?

(1)   25 percent of those surveyed said that they had received scholarships but no loans.

(2)   50 percent of those surveyed who said that they had received loans also said that they had received scholarships. (题目有误吧,为啥会是50%,超过30%和40%呢???)

                  

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.

Answer:B  D

4 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

Answer:  D

5

Joanna bought only $0.15 stamps and $0.29 stamps.  How many $0.15 stamps did she buy?

(1)     She bought $4.40 worth of stamps.

(2)     She bought an equal number of $0.15 stamps and $0.29 stamps.

                  

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.

Answer: D

4 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

Answer:  D

5

Joanna bought only $0.15 stamps and $0.29 stamps.  How many $0.15 stamps did she buy?

(1)     She bought $4.40 worth of stamps.

(2)     She bought an equal number of $0.15 stamps and $0.29 stamps.

                  

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.

Answer: D

沙发
发表于 2009-7-11 00:41:00 | 只看该作者

第五题我选A

根据(1)可列方程15x+29y=440,且x,y都是整数

y只可取5,10,15,但是只有y=10才能使x也有整数解,即x=10

条件(2)明显不充分

板凳
发表于 2009-7-11 00:59:00 | 只看该作者

1)C(10,1)*C(8,1)=80选第一个C(10,1),选第二个C(8,1)第一个配偶是不能选的

2)画图,圆内(-2,1)圆点(-2,-3),圆外(4,-3)=>4<R<6=>5

3)韦恩图,总数200,只要能确定奖学金和贷款重叠的部分就可以(1)重叠=30(2)重叠也是30(50 percent of those surveyed who said that they had received loans 是指贷款中的50%,不是总数的50%)

4)又一个空房的状况C(2,1)+没有空房的状况,只要将三人分两组进行排列C(3,1)*2=2+6=8

5)??????(1)0.15X+0.29Y=4.4,(2)只知道买的数量相等,X=Y,我觉得没有办法知道X数量,所以我觉得应该选C????请高人指点!!!谢谢

地板
发表于 2009-7-11 01:01:00 | 只看该作者
楼上5的解释我同意,只是觉得看出10是唯一整数解有点困难的,
5#
 楼主| 发表于 2009-7-11 17:21:00 | 只看该作者

非常感谢大家的解答,不过第五题答案选D????

难道是答案错了?

6#
发表于 2009-7-11 19:24:00 | 只看该作者

1)10*8*6/3!=80

2)4<r<6,r integer,r=5

3)韦恩图

5)同意楼上选A,B单独不能判断

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