Ms. Cooper was teaching a logic class which is very always popular with students and this semester was no exception. There was only one space left in the class and three students had applied. Each of the applicants was interviewed.
The last space must be taken by a student who makes either three true or three false statements. One of the other two applicants makes two true and one false statement. The other applicant makes one true and two false statements.
Here's what the three applicants said during their interview:
Keith:
1. Cade is the oldest.
2. Kenny will not bring the teacher an apple.
3. I am the one with three true statements.
Kenny:
1. I would bring the teacher an apple.
2. Cade will be chosen.
3. Keith's first statement is false.
Cade:
1. I am the oldest, so I should be selected.
2. Kenny will be selected.
3. Kenny's third statement is true.
Which student was selected as the last person chosen for the logic class?
A possible solution:
Keith, with his 3 truthful statements, is the
chosen one
Kenny- a sequence of 2 lies and one true statement.
Cade - 1 lie and 2 true statement.
Assuming existence of a unique solution, - I was not looking for others.
The text does not preclude a priori that an absolute liar was selected,,,
Edited on December 5, 2013, 10:29 am