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A Pleasurable Puzzle (Posted on 2013-07-26) Difficulty: 3 of 5
Bob: I'm thinking of a whole number between 10 and 1300.
Alice: Is it less than 500?
Bob answers her, but he lies.
Alice: Is it a perfect square?
Bob answers her, but he lies.
Alice: Is it a perfect cube?
Bob answers truthfully.
Alice: If I knew whether the second digit from the left was a 1, I would know your number. Is it?
Bob answers her truthfully and Alice announces what she thinks is the number. But she is wrong.

What is Bob's number?

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
complete solutionDaniel2013-07-27 14:43:40
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