Knights and Knaves: Peggy, Frank, Bob, Heidi, and Alice
Verified— unique solution
knights knaves
On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Peggy, Frank, Bob, Heidi, and Alice.
Peggy says: "Heidi is a knight."
Frank says: "Alice is a knave or Peggy is a knave."
Bob says: "I am the same type as Alice."
Heidi says: "Alice and Bob are of the same type."
Alice says: "Bob and I are of different types."
Who is a knight and who is a knave?
Hints
Hint 1
Hint 2
Hint 3
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
Once you've worked out who is who: how many of the 5 inhabitants are knaves? Answer with the number.
Rate this puzzle
Report a problem with this puzzle
Similar puzzles
Zebra∎ verified
The Four Desks: The Pretzel Eater, the Basil Grower, and the Owner of the Red Mug
Four desks stand in a row, numbered 1 to 4 from left to right. Each holds exactly one of each attribute, and no attribute repeats. Work out the full arrangement from these clues: 1. The cookie eater is immediately to th…
Math∎ verified
Sequence: 3, 5, 9, 15, …
What comes next in this sequence? 3, 5, 9, 15, 23, 33, ?
Math∎ verified
Arithmetic: 2 + 3 - 15 + 7 × 4
What is 2 + 3 - 15 + 7 × 4?
Math∎ verified
Arithmetic: 3 + 18 + 9 - 19 - 4 ÷ 4
What is 3 + 18 + 9 - 19 - 4 ÷ 4?
Math∎ verified
Arithmetic: 3 + 5 + 2
What is 3 + 5 + 2?
Math∎ verified
Arithmetic: 13 + 4 × 4 - 2 + 10
What is 13 + 4 × 4 - 2 + 10?
Comments
No comments yet
Be the first to say something about this puzzle.