187. If 0 < r < 1 < s < 2, which of the following must be less than 1 ?
I. r/s
II. rs
III. s-r
(A) I only(B) II only(C) III only(D) I and II(E) I and II
啊 原来可以这么举例。。谢谢!
还有一道题!
Last month 15 homes were sold in Town X.The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000.Which of the following statements must be true?I.At least one of the homes was sold for more than $165,000.II.At least o
Last month 15 homes were sold in Town X.The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000.Which of the following statements must be true?
I.At least one of the homes was sold for more than $165,000.
II.At least one of the homes was sold for more than $130,000 and less than $150,000.
III.At least one of the homes was sold for less than $130,000.
A.I only
B.II only
C.III only
D.I and II
E.I and III
这个说答案是A,怎么算的?
15个homes,总价格=150,000*15=2250,000
I.
试图满足:1)让总价最大化;2)none of the homes was sold for more than 165,000;3)median是130,000
按从小到大排列,
前7个都取130,000,(为满足条件1)
第八个是130,000 (条件3)
后7个都是165,000 (为满足条件2及条件1)
130*8+165*7=2195 < 2250
所以如果最大值为165,000的话,Max总房价会小于2250,000 与条件矛盾
II. 及III. 举反例即可
反例: 前8个 130,000 第9-14个 165,000 第15个:220,000