Lies and Truths

Logic Level 1

There are 3 people, 2 of whom are lying, and 1 of whom is telling the truth.

Your job is to find out which person is telling the truth.

Person 1 says: "Person 3 is lying."

Person 2 says: "Person 1 is lying."

Person 3 says, "Person 1 is lying."

Which one is telling the truth?

Person 3 Person 2 Person 1

Caleb Zylstra by Caleb Zylstra , 16, USA

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3 solutions

Emily Peng
Dec 28, 2019

Since there is only one truth-teller, then Person 2 and 3 are liars- otherwise there would be a contradiction. Person 1 is telling the truth.

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Richard Desper
Dec 9, 2019

Since Person 2 and Person 3 are saying exactly the same thing, they must both be liars or both be truth-tellers. We are told there is only one truth-teller, thus we can dismiss the second possibility. They are both liars and Person 1 is the truth-teller.

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Caleb Zylstra
Dec 7, 2019

Person 1 is telling the truth.

2 people said that Person 1 is lying, thus both accusers of Person 1 can not be correct at the same time. That means that Person 1 is telling the truth.

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