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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.)
Answer Comment 14 of 14 |
The four numbers are either (4,6,9,10) or,  (2,8,9,10).
  Posted by K Sengupta on 2008-03-19 11:23:44
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