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标题: [转帖]一道蛮搞的数学JJ--- 订报问题 [打印本页]

作者: maryland    时间: 2003-5-1 18:52     标题: [转帖]一道蛮搞的数学JJ--- 订报问题

benben 2003-04-30 08:28:43   

一社区有45户, 订报纸, 有 R, S, T 三种报,给出了三种报的订户人数分别是, S1=28, S2=17, S3=12,then, subscribe, both R&S, b1=9, both S&T b2=8, both R&T b3=7; Now 给出了一个重要条件, 订了三种的和什么都没有订的人,一样. 然后说, at least subscribe one kind of newspaper,29.
问: Subscribe only one kind Newspaper 的人数 X=?

我的解法: 设三种报都订了的人为: a , a=45-29
X= S1+S2+S3-b1-b2-b3+a


但是, 本本的我在考试的时候, 是 -a, 55555~~~!
希望大家注意. 也欢迎其他网友补充更正. 因为对数字 not for sure, so 以字母代替, 以说明解法.

I think math JJ is very useful. Gmat math is more difficult than that in GRE. JJ is very good to study, practise and take exam. The other books on Gmat Math are easier than what in exam.

AWA
AI: Governments regulating businesses and other organazations,....
AA: Public High School with 200 course, and a private school with 80 courses,...

感觉作文都是近期的题目.

RC:
我的一篇长文, 95 line, 先研究鸟, 互相学习, (但是提到一句和浦乳类动物比, 有题.) 不吃有毒的东东,then, 第二种观点, 研究了hen, hen 不能通过学习其他的鸟, 而不吃有毒的. 但可以多吃别的hen 也爱吃的

我的第一篇长文, 在3-6 题. 文章不难理解, 但问题的答案, 不好选. 我大概都作错了. 后来给我的题特别简单. 我越做 depressed. so, just cancle the score.

I believe there is not a short cut for study, I should study harder. I only prepare for GMAT three weeks, thinking I'm already in US studying for three years, should enough for me, but I was wrong. I really admire those students who are still in China, and study so
hard. You will get whatever you want through your hard working.

Good luck for your exam!
作者: maryland    时间: 2003-5-1 18:53     标题: [转帖]更正:一道蛮搞的数学JJ--- 订报问题

benben 2003-04-30 11:43:52   

一社区有45户, 订报纸, 有 R, S, T 三种报,给出了三种报的订户人数分别是, S1=28, S2=17, S3=12,
then, subscribe, both R&S, b1=9, both S&T b2=8, both R&T b3=7; Now 给出了一个重要条件, 订了三种的和
什么都没有订的人,一样. 然后说, at least subscribe one kind of newspaper, 29.
问: Subscribe only one kind Newspaper 的人数 X=?

我的解法: 设三种报都订了的人为: a , a=45-29=16, X=29-b1-b2-b3+2a
if use S1,S2, S3, then X=S1+S2+S3-2b1-2b2-2b3+4a

欢迎大家讨论。
作者: oddyuibe    时间: 2003-5-1 20:29

一社区有45户, 订报纸, 有 R, S, T 三种报,给出了三种报的订户人数分别是, S1=28, S2=17, S3=12,then, subscribe, both R&S, b1=9, both S&T b2=8, both R&T b3=7; Now 给出了一个重要条件, 订了三种的和什么都没有订的人,一样. 然后说, at least subscribe one kind of newspaper,29.
问: Subscribe only one kind Newspaper 的人数 X=?
我觉得是:X=S1+S2+S3-2B1-2B2-2B3+3a, 其中a是三种报纸都订了的户数

请讨论~


[此贴子已经被作者于2003-5-1 21:31:13编辑过]


作者: mindfree    时间: 2003-5-1 22:51

这道题我知道, 很简单, 画个圈图(Venn diagram)一目了然.
作者: wubin    时间: 2003-5-5 17:05

同意oddyuibe的解法
作者: oddyuibe    时间: 2003-5-10 21:38

from S1, we should subtract those who subscribe S or T, thus S1-B1-B3, however in this process, one more "a" is subtracted, so we should add "a" afterwards: S1-B1-B3+a

similarly, from S2, we subtract those who subscribe T or R, and add the "a" which we unnecessarily subtract, thus S2-B1-B2+a

accordingly, the third one is: S3-B2-B3+a

so, the answer is S1+S2+S3-2B1-2B2-2B3+3a

If you draw venn diagram, the relationship will be very clear.




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