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向各位大神请教几个数学题,不胜感激~

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楼主
发表于 2012-8-8 17:06:51 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
1、For a certain set of n numbers, where n > 1, is the average (arithmetic mean) equal to the median?
(1) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.
(2) The range of the n numbers in the set is 2(n - 1).

答案是A,如果n是偶数不就不可以了吗,不是很理解哎...

2、If n and m are positive integers, what is the remainder when 3^(4n + 2 + m) is divided by 10 ?
(1) n = 2
(2) m = 1
答案是B

感谢各位了~~~
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沙发
发表于 2012-8-8 17:54:34 | 只看该作者
1,等差数列的average总是等于median,不管奇数个还是偶数个项, so (1) is sufficient, (2) obvious not sufficient.
2, pls note: 3^4n = (3^4)^n , the last digit is always 1. so don't care about n, know m is enough.
板凳
 楼主| 发表于 2012-8-8 21:59:57 | 只看该作者
恩,灰常感谢啊O(∩_∩)O~
那第二个题中,无论3的多少次方应该个位都不是0,应该都不能被10整除的吧??
地板
发表于 2012-8-8 22:20:20 | 只看该作者
yes, but the remainder might change.
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