Knights and Knaves

Knights always tell the truth and the knaves always lie.

You are approached by two people. The first one says to you, "we are both knaves."

What are they actually?

HINT: Is the first person a knight?

• They are both knaves

• They are both knights

• The first is a knave, the second is a knight

• The first is a knight, the second is a knave

Knights always tell the truth and the knaves always lie.

On the island of knights and knaves, you are approached by two people. The first one points to the second and says, "he is a knave." The second one then says, "neither of us are knaves."

What are they actually?

HINT: On many of these puzzles, especially the harder ones going forward, it will be important to label everyone. So A says, "B is a knave." And B says, "neither A nor B are knaves."

• They are both knaves

• They are both knights

• The first is a knave, the second is a knight

• The first is a knight, the second is a knave

Knights always tell the truth and the knaves always lie.

On the island of knights and knaves, you are approached by three people, Jim, Jon and Joe.

Jim says, "at least one of the following is true, that Joe is a knave or that I am a knight."

Jon says, "Jim could claim that I am a knave."

Joe says, "neither Jim nor Jon are knights."

Who is a knight and who is a knave?

HINT: The best way to approach these problems is to pick a statement, assume it is true, and see if everything works out so that the statement can in fact be true. If you hit a dead end or contradiction, try a different statement.

• Jim and Jon are knights, Joe is a knave.

• Joe is a knight, and Jim and Jon are dastardly knaves.

• Joe and John are knaves, and Jim is a knight.

• They're all knaves.

Knights always tell the truth and the knaves always lie.

On the island of knights and knaves, you come to a fork in the road with one man standing before each path. You know that one of them is a knight, and the other is a knave. You also know that one path leads to freedom, and the other path leads to certain death.

You can ask one of the men one question. What do you ask to determine the path to freedom?

HINT: You don't need to figure out which person is a knight and which one is a knave to figure out which path leads to freedom.

• "Would you tell me if your path leads to freedom?"

• "Are you a knight?"

• "Will you lie to me?"

• "Which path leads to freedom?"