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求教两道陈向东数学中的题目

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楼主
发表于 2009-3-6 05:52:00 | 只看该作者

求教两道陈向东数学中的题目

1. The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which value is exactly 1.5 standard deviations from the arithmetic mean of the set?

A.42 B.44.5 C.47.5 D.50 E.52

我只做出来该数要大于46+2.5根号n,也就是C或者D的选项,但是答案是E

2.If n is positive integer and n平方 is divisible by 72, then the largest positive integer that must divide n is

A.6  B.12  C.24  D.36  E.48

我选了A,答案是B

3.A merchant sells an item at a 20 percent discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?

A.20%  B.40%  C.50%  D.60%  E.75%

答案是C,请教如何求解?

谢谢!!!

沙发
发表于 2009-3-6 05:56:00 | 只看该作者
1,楼主想得太复杂了,题目明白说1.5个SD, 即46+/-1.5*4.

板凳
发表于 2009-3-6 06:04:00 | 只看该作者
1,由于n^2能被72整除,72不是一个perfect square, 继续往72的倍数里面找perfect square, 72*2=144是12^2, 所以n=12
6和12都能divide12,但是题目要求largest那个,所以答案B.
地板
发表于 2009-3-6 06:21:00 | 只看该作者
3
假设price without discount为1,discount price 0.8,
这0.8里面gross profit 和cost的比例是1:6,
5/6是cost, 0.8*5/6=2/3
price without discount为1,其中成本2/3,那么利润1/3,所以50 percent of the cost 就是 gross profit if the item had been sold without discount.
注意题目要求gp to cost, not gp to price.
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