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题库 / Prep2007E1-DS-2
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, ~$\frac{2}{3}$~dislike lima beans; and of those who dislike lima beans, ~$\frac{3}{5}$~also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?
(1) 120 students eat in the cafeteria.
(2) 40 of the students like lima beans.
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.
这些学生可以分成四类人;只需要求一种。
2/3 dislike lima beans, 可以求到两类的人数；
再由3/5 also dislike brussels sprouts，求到一类的人数
所求值=2/3*2/5*总人数
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