What kind of band never plays music?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

A man in a car saw a Golden Door, Silver Door and a Bronze Door. What door did he open first?

I always drive my customer away.

Who am I?

When you stop to look, you can always see me. But if you try to touch me, you can never feel me. Although you walk towards me, I remain the same distance from you. What am I?

What is both possible and impossible at the same time?

A number with an interesting property:

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

Solve the following series:
AZ, GT, MN, __, YB

After teaching his class all about Roman numerals (X = 10, IX=9 and so on) the teacher asked his class to draw a single continuous line and turn IX into 6. The teacher's only stipulation was that the pen could not be lifted from the paper until the line was complete.

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?