Another Logic Puzzle

Question

In this problem again you are on an island of Knights and Knaves. You meet two of the inhabitants A & B. You say, "Before you say anything else, please say something so I can know whether both of you are knights, or whether both of you are knaves, or whether one of you is a knight while the other is a knave, which is which?"

A replies, "Either I am a knave or B is a Knight." Do you now know what you wanted to know? Explain

Thank you for your time

Hitchhiker · Accepted Answer

Hey Krustie, welcome to the forums!

Heads I win, tails you lose.

Guest · Answer

0 no answer was given, so i guess i'll post. 02br
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00as long as the statement is true, they are either both knights or knaves, but it can't be a mixture. 02br
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00with two knights, one could say, "either i'm a knave or b's a knight," and since b is a knight, a would not be a knave, thus making him a knight, which in this case is true. 02br
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00likewise with two knaves, one could say, "either i'm a knave or b's a knight," and since a is a knave, b would not be a knight; again true in this case. 02br
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00if a is a knave and b is a knight, or if a is a knight and b is a knave, then the statement cannot be true. 0-

Guest · Answer

0 They are both knights. 02br
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00If a is a knave, then the statement is true, so A cannot be a knove. Therefore A must be a knight. 02br
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00If A is a knight then the statement is true, thus B is a knight as well. 0-

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