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Usenet Newsgroups : rec.puzzles Hall of Fame


The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

   
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Categories : logic : same.street.p

Sally and Sue have a strong desire to date Sam.  They all live on the
same street yet neither Sally or Sue know where Sam lives.  The houses
on this street are numbered 1 to 99.

Sally asks Sam "Is your house number a perfect square?".  He answers.
Then Sally asks "Is is greater than 50?".  He answers again.

Sally thinks she now knows the address of Sam's house and decides to
visit.

When she gets there, she finds out she is wrong.  This is not
surprising, considering Sam answered only the second question
truthfully.

Sue, unaware of Sally's conversation, asks Sam two questions.
Sue asks "Is your house number a perfect cube?".  He answers.
She then asks "Is it greater than 25?".  He answers again.

Sue thinks she knows where Sam lives and decides to pay him a visit.
She too is mistaken as Sam once again answered only the second 
question truthfully.

If I tell you that Sam's number is less than Sue's or Sally's,
and that the sum of their numbers is a perfect square multiplied
by two, you should be able to figure out where all three of them
live.


Solution


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