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?

(In reply to liars sometimes prosper (spoiler?) by Steve Herman)

if cade's stmts are all false he's not the oldest. but kenny's 3rd stmt is falso so keith's first is true and then cafe is oldest - a contradiction.

and if kenny's stmts were all false then both keith's and cade's would be TTF or else keith's would be TTT, threfore also deserving of the spot.
Edited on December 5, 2013, 2:49 pm

Posted by Charlie on 2013-12-05 14:38:16