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Kitkattail Posted 23 years ago
Jokes, Puzzles & Riddles

Logic puzzles

A friend of mine emailed me with a series of logic puzzles he had; I'll post them here one at a time.

Here's a very easy one to start us off:

On the island of knights and knaves, every inhabitant is a knight or a knave. Knights always tell the truth, and knaves always lie. Once, when I visited the island of knights and knaves, I came across two of the inhabitants resting under a tree. I asked one of them "Is either of you a knight?" He responded, and I knew the answer to my question. What was each person, a knight or a knave?
  

Top answer

A knight and a knave.

  • A knight and a knave.
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23 Answers
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A knight and a knave.
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I don't know if it's possible to tell whether the person who responded was a knight of a knave.

The knight can ONLY say, "yes."
The knave can ONLY say "no."
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Actually the knave can also say, "yes."
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Remember that the knight can tell only the truth, while the knave can tell only lies.
So anyway, Jacko, that's a lot of indecisiveness. What's your final answer?
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Well...here's what I got...

The knight can ONLY say"yes" because by saying "no," he's saying he is not a knight. So tha's solved. On the other hand, the knave can say "yes" and he will be lying because his companion would be a knave. The knave can also say "no" and he will be lying because he can say that companion is a knight.

What exactly is your question? Determine each one
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No no. Determine the combination of knights and knaves. There could be two knights, two knaves, or one of each. You also don't know what the answer was.
But yeah, that's about right.
Basically, as you outlined, either the knight or the knave could say "yes." Therefore, had the answer been "yes," you wouldn't have known what the combination of knights and knaves was. Since you are able t
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Here's the next one:

There are three islanders, A, B, and C, standing together in a garden. You
ask A, "How many knights are among you?" A replies indistinctly, so you ask B,
"What did A say?" B replies, "A said that there is one knight among us." Then C
says, "Don't believe B; he is lying!" What are B and C?
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Tha's what my answer wasEmotion: smile However, I thought you needed to know specifically who said what.
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B is a knave and C is a knight.
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Oh, sorry then, Jacko. I kind of misunderstood what you were saying.
Good job! Here's another:

Three islanders: A, B, and C. A says "B is a knave." B says "A and C are
the same type" (same type means both knaves or both knights). What is C?

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