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        riddles >> medium >> True, false, and randomness: new version
        
(Message started by: wonderful on Mar 26^th, 2008, 12:16am)

Title: True, false, and randomness: new version
Post by wonderful on Mar 26^th, 2008, 12:16am

Three people: p1 (on the left), p2 (in the middle), p3 (on the right). One always tells the true, one always tell lie, one gives random answer in the sense that if he tells lie first he will tell the truth next time. . Each has a unique intger number from 1 to 9. Here is their hints about their numbers:

p1: My number is even and greater than that by p3

p2 : Mine is a prime number and greater than that by p1.

p3 : Mine is greatest and is a square number (i.e., 1,4,9).

p1 : Mine after divided by 2 is still even.

p2 : The product of mine and one of the number by p1 or p2 is greater than 20 and less than 30.

p3 : Mine is even.

Can you find out these three numbers?

Have A Great Day!

Title: Re: True, false, and randomness: new version
Post by gotit on Mar 26^th, 2008, 4:48am

Assuming that p1 always lies, p2 always tells the truth and p3 is the random number guy, I suppose the following is a solution:

[hide]p1-->1
p2-->3
p3-->9[/hide]

Title: Re: True, false, and randomness: new version
Post by wonderful on Mar 26^th, 2008, 7:34pm

Correct. The alternative answer is 3, 4, 7.
Have A Great Day!