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标题: [求助]gwd6-26 [打印本页]

作者: liuhongjuan    时间: 2006-11-8 06:37     标题: [求助]gwd6-26

Q26:

If r, s, and t are positive integers, is r + s + t even?

(1) r + s is even.

(2) s + t is even.


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.

为什么答案是E,我觉得是C。 r + s is even 和s + t is even

所以r+s+s+t is even,r+t+2s=even,r+t=even-2s, r+t=even, r+t+s+t+r+s=even

2(r+s+t)=even, 则r+s+t=even,答案为c.请大n们帮忙解答阿!我什么地方推错了?


作者: lewis    时间: 2006-11-8 20:06

1、r/t even, s even, r+t+s=even

2、r/t odd, s odd, r+t+s=odd

c的情况下答案人不唯一,e.

QUOTE:
2(r+s+t)=even, 则r+s+t=even

你家这步不对,偶数除以2不一定是偶数。


作者: sweatfly    时间: 2006-11-9 19:39

恩,没想过用这个方法推。。。


作者: liuhongjuan    时间: 2006-11-10 20:01

many  thanks !!!!!




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