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# problem in Island of Knights and Knaves

Posted on 2010-11-24

Following problems are from the Island of Knights and Knaves, I need help in solving it.

a. Suppose you come across two of the inhabitants. You ask both of them whether the other one is a knight. Will you get the same answer in each case?

b. There are three natives A, B and C. Suppose A says ‘B and C are the same type.’ What can be inferred about the number of knights?

c. What question should you ask A to determine whether B is a knight? Justify your question using the construction given above.

d. What question should you ask A to determine whether A and B are the same type? Justify your question using the construction given above.

e. Person A says ‘If B is a knave, I am a knave.’ Determine what can be deduced about A and B.