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The inhabitants of an island are Truthtellers, Pretenders, Prevaricators or Liars.

All the statements by a Truthteller 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 P, Q, R and S of that island were busy in a conversation, when a visitor stopped by and asked each of them their identity. They said:

Inhabitant P:

1. S is a Pretender.

2. Q’s first statement is true..

3. S’s third statement is true.

Inhabitant Q:

1. P is a not a truthteller .

2. P’s first statement is true.

3. S is a Prevaricator.

Inhabitant R:

1. P is a Prevaricator..

2. S is a liar.

3. Q’s second statement is false.

Inhabitant S:

1. R’s third statement is true

2. I am a Pretender.

3. P is a Truthteller.

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

Edited by K Sengupta
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