Although Samantha likes both oolong and green tea, none of her friends likes both. ████████ ███ ██ ███ ███████ ████ █████ ████
The stimulus can be diagrammed as follow:
Samantha’s friends can either like green tea, like oolong tea, or like neither.
If the statements above are █████ ████ ██ ███ █████████ █████ ██ ████ ███████
Samantha likes black ████
This could be true. We don’t know Samantha’s opinion on black tea.
None of Samantha's ███████ █████ █████ ████
This could be true. Oolong and green tea have a “not both” relationship, meaning that Samantha’s friends can like oolong tea, green tea, or neither.
Samantha's friends like ███████ ███ ████ █████ ██ ███ ██ ████ ██████
This could be true. It could be the case that all of Samantha’s friends like green tea and black tea, for example.
One of Samantha's ███████ █████ ███████ ██████ ███ █████ ████
This could be true. Oolong and green tea have a “not both” relationship, meaning that Samantha’s friends can like oolong tea, green tea, or neither.
One of Samantha's ███████ █████ ███ ███ █████ ██ ████ ████ ████████ ██████
This must be false. As shown below, we know that Samantha’s friends can’t like both oolong and green tea, and Samantha likes both of these kinds of tea.
