If ~$\frac{2}{5}$~ of the students at College C are business majors, what is the number of female students at College C ?

(1) ~$\frac{2}{5}$~ of the male students at College C are business majors.
(2) 200 of the female students at College C are business majors.


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

考题讲解

条件(1):2/5的男生是学商科的。并不知道人数具体是多少,也无法求得女生的人数,不充分。
条件(2):200个女生是学商科的,但并不知道商科中男生的人数,所以无法求得总学生数,也不知道其余专业中男女生各是多少。
条件(1)+(2):2/5的男生是商科,则3/5的男生是其他的专业,总学生的2/5是商科,那么商科女生也占到女生总人数的2/5,又知商科女生有200人,所以女生总数是500人。所以充分。

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