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楼主
发表于 2011-2-1 14:47:49 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
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.
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.

ANSWER: C


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.

ANSWER: C
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沙发
 楼主| 发表于 2011-2-2 10:05:49 | 只看该作者
期待各路大侠的帮助
板凳
 楼主| 发表于 2011-2-2 10:41:36 | 只看该作者
帮忙一下咯,麻烦各路牛牛咯
地板
发表于 2011-2-3 00:34:41 | 只看该作者
C  
because  if  you take 5,  reminder is 0, if you take 9 reminder is 8

Same trial for 2)  so,    can’t be held

now 1)+2)

Imagine, if  2 is not a factor ,3 is not a factor, so  N Can be  5, 7,11, always the prime number.  Now (n-1)(n+1)   is sure to be an even number as each is even,  n-1 can be surely divided by 4, so doest n+1   and n-1 or n+1 can be divided by 3.    so  you can get a number like 2*4*3  so that it can be divided by 24  reminder is 0
5#
 楼主| 发表于 2011-2-3 11:27:37 | 只看该作者
THX
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