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Realmazure Rationale (Posted on 2009-08-02) Difficulty: 3 of 5
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 E, F, G and H of Realmazure were busy in a conversation, when a visitor from a neighboring planet stopped by and asked each of them their identity. They said:

Inhabitant E
  1. I am a Pretender
  2. Gs second statement is false.
  3. F is not a Prevaricator.
Inhabitant F
  1. H is a Liar.
  2. Gs second statement is true.
  3. Es second statement is true.
Inhabitant G
  1. Fs second statement is true.
  2. Es first statement is false.
  3. F is a Prevaricator.
Inhabitant H
  1. I am a Knight.
  2. E is a Pretender.
  3. Fs third statement is true.
Determine the type of each of the four inhabitants in terms of the above statements.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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Solution A Solution | Comment 3 of 4 |

Consider if F1 is true, then H1,2,3 are lies.  F3, E2, & E1 must be untrue, therefore E is a Liar.  F2 is true, making G3 true.  G2 & G1 are true, making G a Knight.  F is a Prevaricator, and H is a Liar.


E = Liar

F = Prevaricator

G = Knight

H = Liar

  Posted by hoodat on 2009-09-01 15:20:29
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