If All A are B and All B are C, what can we conclude about All A and All C?

If All A are B and All B are C, what can we conclude about All A and All C?

• A. All A are B
• B. All A are C
• C. All C are A
• D. No relation

Answer: (B)

Transitive relationships between categories: if every A is B and every B is C, then every A is C. This works because A sits entirely inside B, and B sits entirely inside C, so A must sit inside C as well. A helpful example: apples are a kind of fruit, and fruits are edible, so every apple is edible. That shows why all A are C follows from the given chain. The other possibilities don’t fit because repeating “all A are B” just restates the first premise, asserting no conclusion about C; claiming “all C are A” would move in the opposite direction of the established containment; and saying there’s no relation ignores the clear transitive link.

Transitive relationships between categories: if every A is B and every B is C, then every A is C. This works because A sits entirely inside B, and B sits entirely inside C, so A must sit inside C as well. A helpful example: apples are a kind of fruit, and fruits are edible, so every apple is edible. That shows why all A are C follows from the given chain. The other possibilities don’t fit because repeating “all A are B” just restates the first premise, asserting no conclusion about C; claiming “all C are A” would move in the opposite direction of the established containment; and saying there’s no relation ignores the clear transitive link.