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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: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-03-19 11:23:44
SolutionHere's the solutionRavi2006-03-20 06:03:31
re: Pardon my dyslexia.AvalonXQ2006-02-18 19:00:16
re: Probable solutionMichael2006-01-31 06:29:43
SolutionPardon my dyslexia.Robert Fulton2006-01-18 13:32:22
CorrectionRobert Fulton2006-01-18 12:29:34
Solution proposed.Robert Fulton2006-01-18 12:27:20
SolutionProbable solutionRogerio2006-01-06 15:44:07
No SubjectGovind2006-01-04 14:38:54
re: Don't know how to do this with a spreadsheet, but...pcbouhid2006-01-04 04:59:16
SolutionDon't know how to do this with a spreadsheet, but...Charlie2006-01-03 20:59:28
AgreedMorgan2006-01-03 18:04:11
SolutionMy attempt (I'll look at PCs later)Bob Smith2006-01-03 16:28:30
Solutionmy solution - (I think)pcbouhid2006-01-03 16:19:54
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