Question

Three thieves M, B and V each make one statement; only one statement is true.
M: I am innocent. B: I am innocent. V: B is involved.
Who was involved in the robbery?

• A. M
• B. B
• C. V
• D. Cannot be determined

Hint:

N/A

Answer 1

The Correct Option is A

To solve the problem, we need to determine the involvement in the robbery based on the statements of M, B, and V. Since only one statement is true, let's analyze the scenarios:

• Assumption 1: M is telling the truth.

  • If M is telling the truth (M is innocent), B and V's statements are false. Thus, B is guilty (since B claims innocence, which is false), indicating V's claim about B's involvement is true, contradicting our assumption that only M's statement is true.

• Assumption 2: B is telling the truth.

  • If B is indeed telling the truth (B is innocent), M and V's statements must be false. M's false statement indicates M is guilty. V's false statement about B being involved doesn't alter B's innocence, but since V's statement matches reality (B is innocent), it can't be the lie we needed for B to be the single truth-teller.

• Assumption 3: V is telling the truth.

  • If V is telling the truth (B is involved), M and B's statements are false. Thus, M is guilty. B's false statement aligns with V's truth, making V's account the only truthful one, which matches the given condition of one true statement.

Based on the process of elimination and ensuring only one statement is true, the conclusion is that M was involved in the robbery.