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:
- I am a Pretender
- G’s second statement is false.
- F is not a Prevaricator.
- H is a Liar.
- G’s second statement is true.
- E’s second statement is true.
- F’s second statement is true.
- E’s first statement is false.
- F is a Prevaricator.
- I am a Knight.
- E is a Pretender.
- 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