© Peter Sanders MMXIV

Arrange the letter of NEW DOOR to make one word...

ONE WORD

The answer is A

3 minutes - slice A and B one side, slice B
and C one side, slice A and C one side

The Maths is faulty here. The amount the men pay
already includes the waiter’s tip, so there’s no need
to add it twice.

He has to shoot in the air. The biggest rivals are the other two.
The second person to shoot will try to shoot the third and the poorest shot will have to take his chance with the one that remains.
Shooting at one of the others first increases the chances he will be shot at next.

Here are a few clues:
D must be 1
C and R cannot be zero
because you do not start
numbers with zero
S + S = R so S is not zero
and S is not 5
and R is even

Solutions saying "they all must have white caps or it wouldn't be fair" are no good. We need logical answers.
Imagine you are the person who wins, person 1. He looks and sees two caps. He imagines he has a black cap.
He puts himself in the position of the next chap. If he saw two black caps he would have immediately
said "I have a white cap", but he doesn't. Person 2 doesn't know.
Person 3 has a white cap and person 2 doesn't know, and person 3 doesn't know, so neither sees a black cap
and person 1 must have a white cap!