Exercise of the Week #4

Back to mathematics this week, as we look at a viral problem you might’ve encountered before.

Last Week’s Answers

Agnetha says she is a liar. It’s a bit of a paradox, but if you’re a liar, you can’t admit to it, because then you’d be telling the truth. Likewise, you can’t be a truth-teller and call yourself a liar.

However, Agnetha actually says: ‘Brillon and I are also liars’. This statement can be a lie if Brillon is a truth-teller.

As we know Brillon is a truth-teller, what Charlton says is true, making him a truth-teller too!

So:

Agnetha is a liar, and the others are both truth-tellers.