Answer to #35: Ask one of the gaurds 'Which door would the other guard say leads to paradise?' If you ask the truthful one he will say the lying guard would say the wrong door. If you ask the lying guard he would say the truthful guard would pick the wrong door as well (since he is lying). So no matter what you could choose the door opposite of what they say and end up in paradise.

Riddle: Two men come before the king because one of their beloved pets has been claimed by the other. Both of these men claim that the same cow is theirs. The king declares that one of the men will get the cow and he will give the other man one of his cattle, just to be fair. He will decide which man gets which at random. One of the men thanks the king for his generosity but the other man does not accept the offer. One man leaves with the disputed cow.

Which man gets the cow? [Slide for answer]