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Guess my Number (Posted on 2004-12-20) Difficulty: 2 of 5
The Mad Hatter poured Alice another cup of tea and set the teapot down.

"May I please have one of those biscuits?" asked Alice rather timedly, rather taken aback by the sight of her present company.

"A biscuit?? Oh, I don't know. Those are the March Hare's special un-birthday biscuits, don't you know. Can she have a biscuit, March ?" asked the Hatter.

"A biscuit?? One of mine? Hurmph. Ok, I'm thinking of an integer from one to three (inclusive). If you get it, you can have a biscuit. If not, I'm afraid you'll just have to leave" said the March Hare, leaning back.

"Oh goodness, I don't know" said Alice worriedly. "Couldn't I just get a hint?"

"Oh, all right..." the March Hare sighed. "You get to ask me one yes-or-no question, that's all"

Alice thought for a moment, then smiled, knowing exactly what to ask.

What question should Alice ask?

See The Solution Submitted by Sam    
Rating: 3.7647 (17 votes)

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re(2): Independent solution | Comment 22 of 33 |
(In reply to re: Independent solution by Anna)

Also... any rules that the March Hare sets will be independent of those set by the Mad Hatter (or Alice). Once Alice recognizes that she gets to ask only one yes-or-no question, then that rule applies only to her. It doesn't mean that Alice will only answer questions in a yes-or-no fashion or that everyone else can only ask her one more question.

"Also, the Mad Hatter is telling Alice that "yes" or "no" should be the only possible answers to any question she asks. Questions that contain "I don't know" as one of the possible answers are not permissible."  <--I meant to say the March Hare.


  Posted by Anna on 2004-12-26 23:31:07
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