You are in a dungeon with five doors. In the dungeon there are two dungeon keepers, who are both either a liar or a knight. You know there is one liar and one knight. One door leads out of the dungeon, the other to certain death.
The keepers then tell you the following information:
Keeper A: If you asked me what door to take, there is no chance I would say E. If you asked the other keeper what door to take, he might say B.
Keeper B: If you asked me what door to take, there is no chance I would say C. If you asked the other keeper what door to take, he might say A.
Which door is the correct one?
No way from either permutations to tell which is knight or liar -- in each though, whichever, must avoid the mentioned doors (E/B and C/A) -- so D is the obvious, and only, and correct choice
Elimination
