There is an island named Graff where
knights
and
knaves
live.
Knights always speak the truth; knaves always speak lies.
You ask 4 people (at the same location) where the castle is, and they reply:
Alex: "The castle is North of here. Jim is a knave."
Jeff: "The castle is West of here. Jim is a knight."
Jim: "The castle is East of here. Jeff is a knight."
Alice: "The castle is South of here. Alex is a knave."
In which direction is the castle?
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Relevant wiki: Truth-Tellers and Liars
Alex says "Dont listen to Jim" (states that Jim never speaks the truth). Jeff says "Listen to Jim" (states that Jim always tell the truth). These statements are contrary to each other, so either of them must be true.
If Jim was the knight (always honest), Jeff would also tell something true. However, there is only one knight, and the others are knaves ( who always lie ), so Jeff and Jim can't both tell the truth, so Jeff's statement (Jim is honest) is false.
This means Alex must have told the truth, and because he is the knight (and always tells the truth) his first statement is true, and the castle is in the north.