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Two Logicians, Four Numbers (Posted on 2006-01-03) Difficulty: 3 of 5
Four different integers from 1 to 10 are chosen. Sam is given the sum and Pat is given the product. Sam and Pat take turns stating how many of the four numbers they can deduce:

Sam: I don't know any
Pat: I know one
Sam: I now know two
Pat: I now know all four

What could the four numbers be?

Tip: A spreadsheet is very useful in solving this problem.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Correction | Comment 9 of 14 |
Make that 1,3,4,7
  Posted by Robert Fulton on 2006-01-18 12:29:34
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