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 Lucky and Unlucky Numbers (Posted on 2009-02-01)
There are 4 persons A,B,C and D of which 2 are liars and 2 are knights. Each of these persons has a lucky and an unlucky number. All the 8 numbers are different and they are from 1 to 9 only. It is known that sum of lucky and unlucky numbers is same for all of these 4 persons and also sum of lucky numbers is greater than sum of unlucky numbers. Find the lucky and unlucky numbers for each of them if they made the following statements:

A:
C's lucky number is 7.
The missing number is 5.

B:
C's unlucky number is 4.
D's lucky number is 2.

C:
A is a liar.
B's lucky number is 6.

D:
The product of B's numbers is 24.
The maximum of all our numbers is A's lucky number.

Note: The missing number is the number from 1 to 9 which is not any one of these people's lucky or unlucky number.

 No Solution Yet Submitted by Praneeth Rating: 4.6667 (3 votes)

 Subject Author Date Lucky solution Math Man 2011-01-08 18:51:04 No Subject Andre 2010-05-24 17:03:30 Solution Dej Mar 2009-10-02 02:41:53 Solution sirisha 2009-10-01 10:33:04 re: Solution Mark 2009-08-02 06:25:45 Tries to look from another point of view dimen 2009-03-05 12:14:53 computer solution Charlie 2009-02-02 10:26:32 Solution Robby Goetschalckx 2009-02-01 14:27:18

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