You are on an island with two tribes. One tribe always tells the truth, and the other tribe always lies. You meet three individuals from the island: A, B, and C. Each individual belongs to one of the tribes. You ask each of them the same question: “Is B a truth-teller?” Here are their responses:
A says, “Yes, B is a truth-teller.
B says, “No, I am not a truth-teller.
C says, “B is a liar.
Who is telling the truth?
Let's analyze the given statements logically.
Given Statements:
1. A says: "Yes, B is a truth-teller."
2. B says: "No, I am not a truth-teller."
3. C says: "B is a liar."
Step 1: Understanding B's Statement
B says, "No, I am not a truth-teller."
If B were a truth-teller, this statement would be false, which contradicts the definition of a truth-teller.
Therefore, B must be a liar.
Step 2: Checking A's Statement
A says, "Yes, B is a truth-teller."
We already established that B is a liar.
Since A claims B is a truth-teller (which is false), A must be a liar.
Step 3: Checking C's Statement
C says, "B is a liar."
Since we determined that B is indeed a liar, this means C is telling the truth.
Answer:
The only truth-teller is C.
Thus, the correct answer is:
C only.
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