The inhabitants of the planet Realmazure are Knights, Pretenders, Prevaricators or Liars. All the statements 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 J, K, L and M of Realmazure were busy in a conversation, when another visitor from a neighboring planet stopped by and asked each of them their identity. They said:
1. M is a Pretender.
2. K’s first statement is true.
3. M’s third statement is true.
1. J is a not a Knight.
2. J’s first statement is true.
3. M is a Prevaricator.
1. J is a Prevaricator.
2. M is a Liar.
3. K’s second statement is false.
1. L’s third statement is true.
2. I am a Pretender.
3. J is a Knight.
Determine the type of each of the four inhabitants in terms of the above statements.