Question

You want to speak to the chief of the village. You question three inhabitants. Amar, Bobby and Charles. Only Bobby is wearing a red shirt.
Amar says: “I am not Bobby’s son. The chief wears a red shirt.”
Bobby says: “I am Amar’s father. Charles is the chief.”
Charles says: “The chief is one among us. I am the chief.”
Who is the chief?

• A. Amar
• B. Bobby
• C. Charles
• D. None of them

Hint:

When solving truth-lie puzzles with constraints like “only one statement is true,” test each candidate using that rule. Eliminate when two truths or two lies arise.

Answer 1

The Correct Option is B

We are told that only one of each person's two statements is true. Let’s analyze possibilities. Observation: Only Bobby is wearing a red shirt.
Let’s assume Bobby is the chief. Then: - Amar says: “I am not Bobby’s son” and “The chief wears a red shirt.”
Since Bobby is wearing red, second statement is true, so first must be false.
$$ Amar is Bobby’s son. Acceptable.
- Bobby says: “I am Amar’s father” and “Charles is the chief.”
First is true (matches Amar being son), so second must be false. Acceptable.
- Charles says: “The chief is one among us” and “I am the chief.”
First is true (so second is false), so Charles is not the chief. Also consistent.
Hence, all three satisfy the one-true-one-false rule if Bobby is the chief.