ChaseDream
搜索
返回列表 发新帖
查看: 734|回复: 2
打印 上一主题 下一主题

something about the interger

[复制链接]
跳转到指定楼层
楼主
发表于 2011-6-27 09:30:36 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
A和B 都是整数 A-B和A/B都是偶数 问一下哪一个一定是奇数?
A。A/2
B。B/2
C。(A+B)/2
D.  (A+2)/2
E。(B+2)/2
the answer given is D. However, because A and B should be odd or even simutaneously, I think if D is correct, Eshould also be correct!!! I doubt the answer given. I think the answer should be C.
What do you guys think?
收藏收藏 收藏收藏
沙发
 楼主| 发表于 2011-6-27 10:06:01 | 只看该作者
OK 自己顶个
板凳
发表于 2011-6-27 10:11:59 | 只看该作者
If A/B is even, it proves that A is even, A = 2*a*B and A>B. Then since A and B are both even or both odd, then B is even as well, so A =2*a*2*b = 4*a*b.

Then (A+2)/2 = 2*a*b + 1 = odd.

Only D must be right.

For E, if B=2 or B=4, you get different answers.

For C, if A=4, B=2; or A=4, B=4; you get different answers.
您需要登录后才可以回帖 登录 | 立即注册

Mark一下! 看一下! 顶楼主! 感谢分享! 快速回复:

手机版|ChaseDream|GMT+8, 2025-7-4 17:11
京公网安备11010202008513号 京ICP证101109号 京ICP备12012021号

ChaseDream 论坛

© 2003-2025 ChaseDream.com. All Rights Reserved.

返回顶部