Saw this in an outdoorsman book - never tried it myself. The author claimed that you can turn eyeglasses into a magnifying glass by filling in the near side with urine. And then use them to start a fire.

There was an infinite amount of people to each fill every of the infinite number of rooms.

or in mathspeak - there was a one to one relationship established between two infinite sets.

Maybe I'm not seeing the concept exactly, but math was never my thing. I know that infinity plus one is still infinity, so they are still a one-to-one ratio even if you add another person...

I guess the problem is that if the VIP customer were to say, try every door until he found the first unoccupied room, he'd be trying doors into infinity, never finding the vacant room. So you'd have to do something like tell all the other guest to move up one room, and the VIP could take the first room, since it's occupant just moved up one. Since there are infinite rooms, every guest would have a room to to move up to.

If that's not the answer, then I'll have to think about it a bit longer.

For someone that claims math is not his thing, you explained the answer very well.

We started off with...

ROOM 1 matching up with PERSON 1
ROOM 2 matching up with PERSON 2
ROOM N matching up with PERSON N
ROOM N+1 matching up with PERSON N+1

and we went to...

Room 2 matching up with person 1
Room 3 matching up with person 2
Room N matching up with person N+1
Room N+1 matching up with person N+2

which leaves us room 1 free for somebody else.

Okay, I'll quit with the math, regular riddles are usually more fun anyway.

the "do you pee in the shower" thread comes to mind:D

Apparently it's good for jellyfish stings, as well.

and athlete's foot.....but only if you're one of those who pee in the shower.

With the light switch problem, I thought of entering the room once and substituting the bulbs with coloured ones then observing the individual glows under the door but then again there was a strong point made about the door being shut so I guess nothing is meant to be seen with the door closed.
The real answer is much better anyway. Can't wait to test the folks at work with all these.

Wow ... newspeak!

(I think she's saying that what had been identified as an error is actually correct, needs to be re-added and routed to the quality service to-do list.)

There are three men dead in a cabin.

The cabin is surrounded by snow.

There is a hole in the roof of the cabin.

How did the men die?

they fell out of a plane and landed on the cabin?

I was thinking small meteor.

That would be meteorite... heheh. And I was thinking the same thing when I read it last night, but it doesn't seem like an interesting enough answer to be correct. Now, if the riddle said "The cabin is surrounded by snow which is unmarked with any bootprints besides those of the three men," then I'd be pretty confident on the meterite answer. As it is, I'm not sure.

Maybe an airplane crash? The "cabin" is the cabin of the plane, and it crashed in snowy mountains or something?