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 Realmazure Rationale III (Posted on 2010-01-17)
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.

 See The Solution Submitted by K Sengupta Rating: 5.0000 (1 votes)

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 solution | Comment 1 of 4
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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