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Realmazure Rationale III (Posted on 2010-01-17) Difficulty: 3 of 5
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. Ps second statement is true.
Inhabitant O
  1. Qs second statement is true.
  2. Ns first statement is true.
  3. P is a Knight.
Inhabitant P
  1. N is a Pretender.
  2. Os third statement is false.
  3. O is a Pretender.
Inhabitant Q
  1. P is a Prevaricator.
  2. Os third statement is true.
  3. O is a Pretender.
Determine the type of each of the four inhabitants in terms of the above statements.

No Solution Yet Submitted by K Sengupta    
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Solution solution Comment 1 of 1
Inhabitant N is a Pretender [F,F,T].
  1. N is NOT a Knight.
  2. P is NOT a Knight.
  3. P's second statement is true, (i.e., P is not a Knight).
Inhabitant O is a Liar [F,F,F]
  1. Q's second statement is NOT true, (i.e., P is not a Knight).
  2. N's first statement is NOT true, (i.e., N is not a Knight).
  3. P is NOT a Knight.
Inhabitant P is a Prevaricator [T,T,F].
  1. N is a Pretender.
  2. O's third statement is false, (i.e., P is not a Knight).
  3. O is NOT a Pretender.
Inhabitant Q is a Pretender [T,F,F].
  1. P is a Prevaricator.
  2. O's third statement is NOT true, (i.e., P is not a Knight).
  3. O is NOT a Pretender.

  Posted by Dej Mar on 2010-01-17 15:29:05
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