Brain Teasers
Speak The Truth
You find yourself on a cliche island where everyone always lies or tells the truth. You see some natives and decide to get information.
You: Are you mute?
Luke: *shakes head*
Lily: *shakes head*
Lilac: Exactly one of Luke and Lily is mute.
Liam: Luke and I are both liars or truth-tellers. Same with Lisa and I.
Lisa: The only liar is either Lily or Liam.
Who is lying? Who is mute?
You: Are you mute?
Luke: *shakes head*
Lily: *shakes head*
Lilac: Exactly one of Luke and Lily is mute.
Liam: Luke and I are both liars or truth-tellers. Same with Lisa and I.
Lisa: The only liar is either Lily or Liam.
Who is lying? Who is mute?
Hint
Just because someone didn't say something, doesn't mean they are mute.Answer
Luke isn't mute and a truth-teller.Lily is mute and a liar.
Lilac is a truth-teller.
Liam is a truth-teller.
Lisa is a truth-teller.
If Liam is a liar, then Lisa and Luke are different than him, therefore they are truth-tellers.
If Liam is a truth-teller, then Lisa and Luke are the same as him, therefore they are truth-tellers.
Lisa and Luke are truth-tellers and can speak.
Lisa confirms that Lilac is a truth-teller.
If Luke or Lily is mute, they are liars.
Therefore we can conclude that Luke or Lily is a liar from Lilac's statement.
Luke is a truth-teller, therefore Lily is a liar.
Since Lily is a liar, Liam is a truth-teller because of Lisa's statement.
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Comments
I've seen a puzzle like this before.
"The only liar is either Lily or Liam" I can't feel my tongue.
a scip model for solving this can be found at
https://gist.github.com/
bb22e7e1391622ad0cf7e19d15876c4c
https://gist.github.com/
bb22e7e1391622ad0cf7e19d15876c4c
Sorry, I did not bother, as I found the instructions a bit confusing!
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