Brain Teasers
Knights & Knaves II
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie.
There, you meet three inhabitants: Abe, Bess, and Carol. Abe says, 'At least one of the following is true: that Carol is a knave or that I am a knight.' Bess says, 'Abe could claim that I am a knave.' Carol claims, 'Neither Abe nor Bess are knights.'
So who is a knight and who is a knave?
There, you meet three inhabitants: Abe, Bess, and Carol. Abe says, 'At least one of the following is true: that Carol is a knave or that I am a knight.' Bess says, 'Abe could claim that I am a knave.' Carol claims, 'Neither Abe nor Bess are knights.'
So who is a knight and who is a knave?
Hint
Guess and CheckAnswer
Take Carol's statement and assume that it is true, and that she is a knight. This would mean that both Abe and Bess are knaves. This would mean that Abe couldn't claim that Bess is a knave, which works since, if he did, he would be telling the truth, which we have already said was not true. This means that Abe's statement is also false, so none of the following would be true, and Carol would be a knight and Abe would be a knave, which fits the previous information. Therefore, Abe and Bess are knaves, and Carol is a knight.Hide Hint Show Hint Hide Answer Show Answer
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