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 identify the robber, we analyze the statements of M, B, and V, knowing only one statement is true:

• Scenario 1: M is truthful.

  • If M is innocent (truthful statement), then B and V are lying. This means B is guilty, contradicting V's claim that B is involved, meaning V's statement should be false, which means this assumption is incorrect.

• Scenario 2: B is truthful.

  • If B is innocent (truthful statement), M and V are lying. This means M is guilty. However, V's false statement about B's involvement doesn't create a contradiction, implying B cannot be the sole truth-teller.

• Scenario 3: V is truthful.

  • If V is telling the truth (B is involved), then M and B are lying. This means M is guilty. This scenario satisfies the condition of only one true statement.

Through process of elimination, the robber is M.