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If A->C, then not C-> A. Is this TRUE?

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楼主
发表于 2006-4-21 23:39:00 | 只看该作者

If A->C, then not C-> A. Is this TRUE?

Last 4-1-25



25. Because of the recent transformation of the market. Quore, Inc., must increase productivity, 10 percent over the course of the next two years, or it will certainly go bankrupt. In fact, however, Quore’s production structure is such that if a 10 percent productivity increase is possible, then a 20 percent increase is attainable.
If the statements above are true, which one of the following must on the basis of them also be true?
(A) It is only Quore’s production structure that makes it possible for Quore to survive the transformation of the market.
(B) Quore will not go bankrupt if it achieves a productivity increase of 20 percent over the next two years.
(C) If the market had not been transformed, Quore would have required no productivity increase in order to avoid bankruptcy.
(D) Because of the transformation of the market, Quore will achieve a productivity increase of 10 percent over the next two years.
(E) If a 20 percent productivity increase is unattainable for Quore, then it must go bankrupt.

The answer is E.  


我看到的解答是这样的


应该是 非A->B
其实,由条件1.Quore, Inc. must increase productivity, 10 percent over the course of the next two years, or it will certainly go bankrupt。中的‘OR“可以推出if not increase,it will go bankupt.that is  not A->B
由条件2 if a 10 percent productivity increase is possible, then a 20 percent increase is attainable 可以推出 10 percent increase will lead to a 20 percent increase. that is  A -> C ,not C-> not A,
conclude from 1 and 2,not C -> B



但是, If A-> C, then Not C-> A, is that true?


沙发
发表于 2006-5-1 04:04:00 | 只看该作者
I don't think it's A-> C here, but rather A=C so NotA = NotC.
板凳
发表于 2006-5-1 08:09:00 | 只看该作者

前提 这个可以看成 A->B B->C


结论 N C -> N A

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