The inhabitants of planet Realmazure are Knights, Pretenders, Prevaricators or Liars. All the statements made by a Knight are true, a Pretender will tell precisely one true statement, a Prevaricator will tell precisely two true statements, and all the statements made by a Liar will be false.
Four inhabitants N, O, P and Q of Realmazure are busy in a conversation, when a visitor from a neighboring planet stops by and asks each of them their identity. They say:
Inhabitant N
- I am a Knight.
- P is a Knight.
- P’s second statement is true.
Inhabitant O
- Q’s second statement is true.
- N’s first statement is true.
- P is a Knight.
Inhabitant P
- N is a Pretender.
- O’s third statement is false.
- O is a Pretender.
Inhabitant Q
- P is a Prevaricator.
- O’s third statement is true.
- O is a Pretender.
Determine the type of each of the four inhabitants in terms of the above statements.
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