NO.1 If k is a positive integer, is k the square of an integer?
(1) k is divisible by 4
(2) k is divisible by exactly 4 different prime number
请问为什么(2)不能推出?exactly是指只有四个吗?那么不是可以推出所问的一定不成立吗!
NO.2 One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where
C=6.5x+8.5y, Is x<0.8?
(1) y>0.15 (2) C>=7.30
请教此题B怎么推出的?
No2求解思路如下:
题目中隐含的一个关系是x+y = 1,这里求x是否小于0.8,C=6.5x+8.5y可以变成:c = 6.5x + 8.5(1-x) => x = (8.5 - c)/2
那么对于条件1,y>0.15,由x+y =1只能知道x<0.85,不充分
对于条件2,C>= 7.3,根据x=(8.5-c)/2可以知道,C取值越小,x的值越大,所以,把C=7.3代入,得到x的最大值为0.6,所以可以充分得到x < 0.8
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