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求助一道prep2013 pack1中的一道数学题

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楼主
发表于 2013-9-15 12:20:58 | 显示全部楼层 回帖奖励 |倒序浏览 |阅读模式
For every positive even integer n, the function h(n) is defined to be the product of all the even integer from 2 to n, inclusive, if p is the smallest prime factor of h(100)+1, then p is ?

A. between 2 and 10
B. between 10 and 20
C. Between 20 and 30
D. between 30 and 40
E. greater than 40

正确答案是E

请大牛帮忙求解,非常感谢~~~
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沙发
 楼主| 发表于 2013-9-15 14:33:24 | 显示全部楼层
peterxk 发表于 2013-9-15 14:14
h(100)=2x4x6x...100=2^50 x 50!
就是说1到50都是他的因子
而两个连续非零自然数互质

膜拜~~再请教一题

the instructions for computing income tax in Country R were to add 2% of one's annual income to the average (arithmetric mean) of 100 units of country R's currency and 1% of one's annual income. Which of following represents the simplified formula for the computing the income intax, in Country R's currency, for a person in that country whose annual income is I?

正确答案是 50+I/40

请问如何求解,关键不理解“the average (arithmetric mean) of 100 units of country R's currency ”是什么意思
板凳
 楼主| 发表于 2013-9-15 16:49:58 | 显示全部楼层
bergkamp91 发表于 2013-9-15 14:55
是The average of后面两个东西,一个是100货币单位(这是个缺心眼的表达方法,对解题没有意义的,你就理 ...

哦,明白了,非常感谢~!
地板
 楼主| 发表于 2013-9-16 20:57:38 | 显示全部楼层
elsachialee 发表于 2013-9-16 13:26
就是income是I
所以公式是2%*I+[(100+1%*I)/2]。关键是要理解那个100个units currency的意思 ...

非常感谢!
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