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要考试了,求助几道数学题

D Q9:

 

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?

 


A.    1/4

B.     3/8

C.     1/2


D.    5/8

E.     3/4

 

 


A Q13:

Company S produces two kinds of stereos:  basic and deluxe.  Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe.  If it takes  7/5as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?


A.    7/17

B.     14/31

C.     7/15

D.    17/35

E.     1/2

 

 


D Q17:

 

The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively.  If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?

 
I.               3

II.              7

III.             12



A.   I only

 

B.   II only

 

C.   III only

 

D.   I and III only

 

E.    I, II, and III

 

 

 

B Q29:

 

The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998.  Was the annual rent collected by the corporation from the building more in 1999 than in 1997?

 

(1)     x > y

 

(2)      XY/100< x – y

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 1.如果n为奇数,n+1必定是八的倍数,7,15,23。。。95一起12个

如果n为偶数,n和n+2必定有一个是4的倍数,一个是2的倍数,都可以,n一共48种

答案60/96=5/8

TOP

 2选A,假设basic要做2单位,耗时7/5,de要做1单位,耗时1.de占总体,1/(1+10/7)=7/17

TOP

3.3放进去,3,4,6,7,9,10.中间数和平均数都是6.5正确

7放进去,4,6,7,7,9,10.6+9=15,平均数不等于7,中间数为7。错误

12放进去,4,6,7,9,10,12.都是8.正确。

选1和3.D

TOP

 4.选B.设98年t,97:t/(1+x%),99:t(1-y%)

if xy/100<x-y.(1+x%)(1-y%)>1.左右同乘t再变形,得出t/(1+x%)<t(1-y%)

TOP

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