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请教三道PREP模考题的解题思路,谢谢!

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楼主
发表于 2008-8-3 09:30:00 | 只看该作者

请教三道PREP模考题的解题思路,谢谢!

都是PREP模考的题,不明白,请哪位NN给提供一下思路?谢谢。

If n is a positive integer and r is the remainder when (n+1)(n-1) is divided by 24, what's the valude of r?

(1) 2 is not a factor of n;  (2) 3 is not a factor of n. (C)

if 2/5 of the students at college of C are business majors, what is the number fo female students at College C? (C)

(1) 2/5 of the male students at colege C are business majors

(2) 200 of the female students at college of C are business majors

If x is an integer, is median of the 5 numbers shown greater than the average of the 5 numbers? (E)

(1) x>6

(2)x is greater than the median of the 5 numbers

沙发
发表于 2008-8-3 09:55:00 | 只看该作者
1。 条件1,n为奇数,n-1, n+1 为相邻两偶数,乘积必为2^3=8的倍数 (2*4, 4*6, 6*8, ...), 无法确定除24的余数。
       条件2,n不为3的倍数,n+1, n-1必有1为3的倍数,无法确定除24的余数。
        1+2,(n+1)(n-1) 同时为8与3的倍数,除24,余数为0。

2. 2/5 of the students major in business
    (1) 2/5 of the male students major in business, so 2/5 of the female students major in business.
    (2) 200 of the female students major in business, 200 is 2/5 of all female students. There are 500 female students.
Statement 1 and 2 together are sufficient

3. You need to provide the 5 numbers in the stem.
板凳
发表于 2008-8-3 10:12:00 | 只看该作者

 楼上好强阿!以前我是用另一种方法做的第一题,虽然做出来了。但是很麻烦。今天知道简单方法了,关键在"相邻两个偶数乘积是8的倍数"

Thank you!

地板
 楼主| 发表于 2008-8-3 15:28:00 | 只看该作者
谢谢热心人!
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