Alex, Bert, and Carl know a specific number 1 to 9. From the statements below can you determine the number knowing one of them made three true statements and one of them made three false statements?

Alex: The number is less than or equal to 5.
Bert: The number is 2, 4, 7, or 9.
Carl: The number is even.
Alex: Bert's first statement is false.
Carl: The number is at least 5.
Bert: The number is odd.
Carl: Alex's first statement is true.
Alex: The number is not 1, 2, 8, nor 9.
Bert: Carl made exactly one true statement.

ok, if one mad three true statements and one made three false statements, then the number can't be 5 because for 5 to be the number alex would have made 3 true, bert 1 true and 2 false and carl 1 false and 2 true.  so I guess you were right it is 9

Posted by Damo on 2007-03-18 01:19:39