first translate the problem into simpler terms.

Let total number of students be x.

therefore, we are given:

no of students who dislike beans = (2/3)x

no of students who dislike beans and sprouts = (2/3)*(3/5)x = (2/5)x

[since we are given that 3/5 of the students who dont like beans also dont like sprouts this means that 2/5 of the students who dont like beans like sprouts]

therefore, no of students who dislike beans but like sprouts = (2/3)*(2/5)x = (4/15)x

thus if we know the total number of students we can answer the question.

(1) Sufficient: it gives us what we want directly.

(2) Sufficient: 40 students like beans. this accounts for (1/3) of the students. therefore if (1/3) is 40 then total is 120.

Thus choice D is the answer.

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