Just about everyone is familiar with the riddle about only being able to ask one question of two brothers, 1 who always lies and 1 who always tells the truth, but not knowing which is which. You need to ask a question that doesn't matter which one you ask will lead you down the right road.
Back in 1999 I was in Germany for a couple of months for work. I happened upon a variation on the above riddle that the author claimed he had heard in college and was offering his estate to the first of his heirs who solved it.
The riddle goes something like this:
You have just died and find yourself in vast nothingness. Suddenlyl, 2 roads appear along with 3 faceless men and a booming voice from everywhere says that one of these men always tells the truth, one always lies, and one randomly lies or tells the truth. You may ask two questions to determine which road you will take. One leads to heaven and the other to hell.
You may ask the same man both questions or change but you do not know in advance which man is which. Your questions must not be compound (if this and this) and they must not lead to paradoxes.
What two questions would you ask to get to the locale of your choice? Oh yeah - you hear the responses echoing in your head since they don't have any faces (didn't want you to waste a question on that).
Ok - so I stayed up for quite some time solving this riddle. I emailed the guy, confirmed that it was an acceptable answer though not exactly the one he knew, and promptly forgot it. Now I have a really good memory and yet I couldn't for the life of me remember the solution. I have played with it off and on since then. Last night the answer popped into my head out of nowhere.
I will post the answer if no one has gotten it tomorrow at this time - so don't read SPOILER subject lines if you don't want to know.