A says, "B is a knave." B says, "A is a knave." Who is which?

Either (A knight & B knave OR A knave & B knight)

You may ask one yes/no question to one of two islanders; one always lies and one always tells the truth. To find which road leads to the village, which question should you ask a guard about a given road?

"Does this road lead to the village?"

"If I asked the other guard whether this road leads to the village, would he say yes?"

"If I asked you whether this door leads to freedom, would you say 'yes'?"

"Does this door lead to freedom?"

"Would the other guard say this door leads to freedom?"

Trivia · Knowledge

Classic Knights and Knaves logic puzzles: determine who tells the truth and who lies from short statements (unique answers).0 takes

Preview · 10 questions

01An islander says, "I am a knave." What can you conclude?
02A says, "We are both knaves." What are A and B?
03A says, "I am a knight." What can you conclude about A?
04A says, "B is a knave." B says, "A is a knave." Who is which?
05Three islanders: A says "B and C are opposite types." B says "A and C are opposite types." C says "A and B are opposite types." Which assignment fits?
06You may ask one yes/no question to one of two islanders; one always lies and one always tells the truth. To find which road leads to the village, which question should you ask a guard about a given road?
07You can ask one yes/no question to one guard (maybe liar, maybe truth-teller) to choose the safe door out of two; which classic question forces a truthful indication?
08A says, "B is a knave." B says, "C is a knave." C says, "A is a knave." What is the consistent assignment?
09A says, "At least one of us is a knave." B says nothing. What are A and B?
10A says, "B is a knight." B says, "A and I are the same." Who are they?