If All A are B, and All B are C, then All A are C. True or False?

• A. True
• B. False
• C. Both may be true
• D. Neither statement can be determined

Answer: (A)

The main idea here is how containment works in a chain of categories. If every A is a B, and every B is a C, then every A is a C. This follows because any object that is in A is automatically in B, and any object in B is automatically in C. So that object must be in C as well. A quick check helps: take any A and you can follow this path—A implies B, and B implies C—so A implies C. For example, all apples are fruits, all fruits are edible, therefore all apples are edible. The statement is true because the relationship is transitive across these categories.