A: We are given total students = 120, which will be X.
We are given the following data in the problem:
X = 120
Doesn't like beans = (2/3)x = 80
Doesn't like beans AND sprouts = (3/5)80 = 48
If 48 students do not like beans and sprouts, that means 32 students that do not like beans DO like sprouts. SUFFICIENT.
B: We are given 40 students like beans.
If 2/3 of students do not like beans, 1/3 do like beans. This means 1/3 of the total students = 40. From here we can repeat the steps done for statement A and determine the question is SUFFICIENT.
Therefore the answer is D.
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