问题
单项选择题
In a certain group of people, the average (arithmetic mean) weight of the males is 180 pounds and of the females, 120 pounds. What is the average weight of the people in the group ?()
(1)The group contains twice as many females as males.
(2)The group contains 10 more females than males.
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
答案
参考答案:A
解析:
本题的正确答案为(A) 。设该群人中的男性人数为x,则根据(1)可得女性人数为2x,从而可求得这群人的平均体重为:[*],所以(1)充分;根据(2)可得女性人数为x+10,则这群人的平均体重可表示为:[*],因为这个式子的值随x值的变化而变化,所以(2)不充分。