Humans and Werewolves Part1
On a certain village, a villager is either a human or a werewolf. Werewolves and humans . Suppose there are three villagers, Alice, John, and Matt, and only one of them is a werewolf. They each say the following:
: John is the werewolf.
: Matt is human.
: Alice is a werewolf.
Who is the werewolf?
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Solution: Alice is the werewolf.
Explanation:
If Matt was a werewolf, John would be lying about him being a human, so we would have 2 werewolves, but there is only one
If it was John as a werewolf, Alice would be a human because she told the truth about John being a werewolf, but Matt said she is a werewolf, so John and Matt would both be werewolves. But there is only 1.
If it was Alice, Matt would be telling the truth, so he would be a human, which John says that he is, so they are telling the truth, and since John isn't a werewolf, we know that Alice must be lying, so we would only have one werewolf. And this matches the criteria given in the problem. So she must be the werewolf.