perplexus.info :: Logic : Two Logicians, Four Numbers

Two Logicians, Four Numbers (Posted on 2006-01-03)

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.

Submitted by Brian Smith

Rating: 4.0000 (7 votes)

Solution: (Hide)

2,8,9,10 or 4,6,9,10

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2008-03-19 11:23:44
Here's the solution	Ravi	2006-03-20 06:03:31
re: Pardon my dyslexia.	AvalonXQ	2006-02-18 19:00:16
re: Probable solution	Michael	2006-01-31 06:29:43
Pardon my dyslexia.	Robert Fulton	2006-01-18 13:32:22
Correction	Robert Fulton	2006-01-18 12:29:34
Solution proposed.	Robert Fulton	2006-01-18 12:27:20
Probable solution	Rogerio	2006-01-06 15:44:07
No Subject	Govind	2006-01-04 14:38:54
re: Don't know how to do this with a spreadsheet, but...	pcbouhid	2006-01-04 04:59:16
Don't know how to do this with a spreadsheet, but...	Charlie	2006-01-03 20:59:28
Agreed	Morgan	2006-01-03 18:04:11
My attempt (I'll look at PCs later)	Bob Smith	2006-01-03 16:28:30
my solution - (I think)	pcbouhid	2006-01-03 16:19:54

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info