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请高人指点几个数学问题

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楼主
发表于 2006-6-18 14:04:00 | 只看该作者

请高人指点几个数学问题

(除了答案,还希望能有解题思路,多谢高人指点)  

1    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.

2    The toll for crossing a certain bridge is $0.75 each crossing.  Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month.  If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?

 

      

A.     14          B.      15        C.     16            D.     28             E.      29

3   What is the probability that event E or event F or both will occur?(此题该怎么理解)

(1)     The probability that event E will occur is 0.6.

(2)     The probability that event F will occur is 0.4.

4    If x and y are integers, is y an even integer?(

(1)     2yx = x2y2

(2)     x is an odd integer

此题答案给的是A,但我觉得应是D,由2也能得出Y是偶数啊)

 

      

A.     14          B.      15        C.     16            D.     28             E.      29

3   What is the probability that event E or event F or both will occur?(此题该怎么理解)

(1)     The probability that event E will occur is 0.6.

(2)     The probability that event F will occur is 0.4.

4    If x and y are integers, is y an even integer?(

(1)     2yx = x2y2

(2)     x is an odd integer

此题答案给的是A,但我觉得应是D,由2也能得出Y是偶数啊)

沙发
发表于 2006-6-18 15:16:00 | 只看该作者

第3题是求两个都不发生的概率吧?

第4题怎么能直接从2中得出Y是偶数呢?题目中没有给X+Y或者X*Y的奇偶性啊!

板凳
 楼主| 发表于 2006-6-18 20:06:00 | 只看该作者

第四题的条件就这些,即使能直接得出Y为偶,也应该算是D吧

第三题开始有点没看明白,现在有点想过来了,是不是不知道E和F这两个事件是否独立或互相排斥吧,所以仍是都不充分

地板
发表于 2006-6-18 23:45:00 | 只看该作者
hehe,对啊,(2)得不出来就只能选A了!单独成立呀!
5#
 楼主| 发表于 2006-6-19 00:05:00 | 只看该作者

恍然大悟

真是不好意思,我考虑2的时候,居然一直默认把1当然它的的前提条件,绝对是脑子短路了.
6#
发表于 2006-6-19 09:17:00 | 只看该作者
请把题目来源和题号在标题中写清,谢谢配合!
7#
 楼主| 发表于 2006-6-19 10:41:00 | 只看该作者
yes,madam
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