We are given the following statements:
1. Samantha likes both oolong and green tea.
2. None of Samantha’s friends like both oolong and green tea.
3. All of Samantha’s friends like black tea.
Correct Answer
Answer choice (E) must be false. Samantha likes both oolong and green tea, yet none of her friends like both. So none of Samantha’s friends like all the kinds of teas Samantha likes.
Incorrect Answers
(A) could be true. Whether Samantha does or does not like black tea is not addressed.
(B) could be true. We know none of Samantha’s friends like both green tea and oolong tea. Maybe that’s because, while they all like oolong tea, none of them like green tea.
(C) could be true. Maybe all of Samantha’s friends like oolong and black tea, and yet none of them like green tea.
(D) could be true. Not like both oolong and green tea contains the possibility of liking neither.