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. G’s second statement is false.
3. F is not a Prevaricator.

Inhabitant F

1. H is a Liar.
2. G’s second statement is true.
3. E’s second statement is true.

Inhabitant G

1. F’s second statement is true.
2. E’s first statement is false.
3. F is a Prevaricator.

Inhabitant H

1. I am a Knight.
2. E is a Pretender.
3. F’s third statement is true.

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

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