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

1. I am a Knight.
2. P is a Knight.
3. P’s second statement is true.

Inhabitant O

1. Q’s second statement is true.
2. N’s first statement is true.
3. P is a Knight.

Inhabitant P

1. N is a Pretender.
2. O’s third statement is false.
3. O is a Pretender.

Inhabitant Q

1. P is a Prevaricator.
2. O’s third statement is true.
3. O is a Pretender.

Determine the type of each of the four inhabitants in terms of the above statements.

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Posted by SusannaJWilliamson on 2020-03-28 07:54:59