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4.22考试--请教数学题目--(3)

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楼主
发表于 2011-4-18 17:14:43 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
Q4:

In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits.  At the time of the estimates, was the per capita income for the region greater than $16,500?

(1)The lower limit for the estimate of the population was 330,000 people.

(2) The lower limit for the estimate of the total income was $5,500,000,000.



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.(E)

Q6:

A box contains 10 light bulbs, fewer than half of which are defective.  Two bulbs are to be drawn simultaneously from the box.  If n of the bulbs in box are defective, what is the value of n?

(1)The probability that the two bulbs to be drawn will be defective is 1/15.

(2) The probability that one of the bulbs to be drawn will be defective and the other will not be defective is 7/15.



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.(D)

Q11:

The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.  What is the units digit of m?

(1)m is odd.

(2) The hundreds digit of m is 8.



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.(A)

Q12:

Division R of Company Q has 1,000 employees.  What is the average (arithmetic mean) annual salary of the employees at Company Q?

(1)The average annual salary of the employees in Division R is $30,000.

(2) The average annual salary of the employees at Company Q who are not in Division R is $35,000.



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.(E)

Q17:

If a certain coin is flipped, the probability that the coin will land heads is 1/2.  If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?



A.3/5

B.1/2

C.1/5

D.1/8

E.1/32(E)

Q28:

Each of the 30 boxes in a certain shipment with either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds.  If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?



A.4

B.6

C.10

D.20

E.24(D)

Q33:

150, 200, 250, n



Which of the following could be the median of the 4 integers listed above?



I. 175

II. 215

III. 235





A.I only

B.II only

C.I and II only

D.II and III only

E.I, II, and III(C)










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沙发
发表于 2011-4-18 18:02:04 | 只看该作者
我先回答最后一题吧,觉得最短就先看了。


这题就是 要取个范围,如果N最小,那么median 就是(150+200)/2=175
如果N最大,m就是(200+250)/2=225
所以m只可能在175  到225之间
板凳
 楼主| 发表于 2011-4-19 11:19:56 | 只看该作者
原来如此,谢谢momo!!
地板
发表于 2011-4-19 12:02:40 | 只看该作者
Q4,如果给出total income的下限和人口的上限才能算出人均收入是否超过那个值
Q6,我认为应该选A,statement1,假设n个有缺陷的,那么n/10*(n-1)/(10-1)=1/15,n=15;statement2,1-n/10*(n-1)/(10-1)-(10-n)/10)(10-1-n)/(10-1)=3/15,解出来n=3,7都可以,打个比方,一个口袋里有3个红球7个绿球,和另一个口袋里3个绿球7个红球,取出2个是一红一绿的概率是一样的
Q11,96分解质因数=2*2*2*2*2*3,statement1,如果是奇数,个位只能是3,statement2,百位是8,另两个数可以是2和6,也可以是3和4,而且哪个是个位哪个是十位不确定。
Q12,=总的工资/Q公司的总人数,不知道总人数,没法算啊
Q17,高中的排列组合题,1/2的五次方啊
Q28,设未知数,列方程,a个10磅的,b个20的,a+b=30,(10a+20b)/30=18,a=6,b=24,假设需要拿掉c个20的,则:(10*6+(24-c)*20)/(30-c)=14,c=20
Q33,不明白
5#
 楼主| 发表于 2011-4-19 15:44:11 | 只看该作者
嗯嗯,谢谢hjiao,很详细呢
6#
发表于 2012-5-29 02:09:35 | 只看该作者
你好,关于Q12,我还是有点疑问:

(1)和(2)给的已经是部门R和非部门R的平均工资了,为什么我不能把他们加总,再除以2呢?

谢谢回复~~
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