Question

You are visiting a strange country in which there are just two kinds of people - truthtellers and liars. Truthtellers always tell the truth, and liars always lie. You hail the first two people you meet and say, "Are you truthtellers or liars?" The first person mumbles something you can't hear. The second says, "He says he's a truthteller. He is a truthteller and so am I." Can you trust the directions that these two may give you?

Answer 1

Answer: Yes, you can trust them.

Explanation: Visualize the problem. The first one who mumbled something (person a) and the second one who you hear (person b).

Now let’s assume that Person A said ‘I am a truth teller.’ If he had said that and lied than Person B, who if he is also lying, would’ve said ‘he says he is a liar. He is a truth teller and so am i’ Because he always lies about everything.

Therefore, they are both truth tellers.

Answer 2

Yes, you may put your faith in truthtellers, liars, and trust them.

Why can they be trusted?

Make a mental image of the problem. Person A was the first to mumble something, and person b was the second to speak (person B).

Let's pretend Person A stated, "I am a truth-teller." Assuming he had said that and then lied, Person B, if he was lying as well, would have said, "He claims he is a liar." Because he always lies about everything, he is a truth-teller, as am I.

As a result, they're both tellers of the truth.

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