Question

Statement I: Arun has four vehicles.
Statement II: Two of the vehicles are red.
Statement III: One of the vehicles is a minivan. If the first three statements are facts, which of the following statements must also be a fact?
• [I.] Arun has a red minivan.
• [II.] Arun has three cars.
• [III.] Arun's favorite color is red.

• A. I only
• B. II only
• C. II and III only
• D. III only
• E. None of the statements is a known fact.

Hint:

In these types of questions, look for "overlap traps." Just because a set of items contains a specific color and a specific type doesn't mean those two attributes belong to the same item unless the text explicitly links them.

Answer 1

Answer: (E)

Concept: In logical deduction, a statement is only considered a "fact" if it is a necessary conclusion derived from the given premises. If there is even one possible scenario where a statement is false while the premises remain true, that statement is not a fact.

Step 1: Analyze Conclusion I: ``Arun has a red minivan.''
• Statement II says two of his vehicles are red. Possessing items of a certain color does not logically prove a personal preference or "favorite." He could have bought them used, for business, or because they were the only ones available. Therefore, Conclusion III is an inference, not a \textitfact.