Let me have one, and I'll try to solve it.
Here's a couple:
There is a hotel called the Infinite Hotel. It has an infinite number of floors (we're talking the lower versions of infinity; only countable, whole, positive numbers). If all of the rooms are full in the infinite hotel, and one person comes in and says that he wants a room; what should the front desk person do?
Hint: you want to get the guest into a room without killing anyone or having them share rooms. The answer seems pretty obvious to me.
[b]SOLVED: by kyuss534[/b]
[spoiler]You move every patron of the hotel over one room. Put the new patron in the first room.
Official answer: You tell the person in room #1 to move to room #2, and tell the person in moving from room #1 to tell the person in room #2 to move to room #3, and so on.
Here's the formula [i]n+1[/i][/spoiler]
There is the same Infinite Hotel as above, but this is the manager's worst nightmare. An infinite number of buses with an infinite number of people comes to the fully-booked hotel, all of them wanting a room. What does the manager do to fit all of them in?
You must assign them a room. You don't have to get them in all at once.
[i]Riddles from Ted Ed[/i]
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Answer to question. 2 Move over all guests and infinite amount