If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

With pointed fangs I sit and wait; with piercing force I crunch out fate; grabbing victims, proclaiming might; physically joining with a single bite. What am I?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

There is something which you can be arrested for attempting but not for successfully completing.

You want to boil a two-minute egg. If you only have a three-minute timer (hourglass), a four-minute timer and a five-minute timer, how can you boil the egg for only two minutes?

I am the beginning of everything, the end of everywhere. I'm the beginning of eternity, the end of time and space. What am I?

When Jack was six years old he hammered a nail into his favourite tree to mark his height. Ten years later at age sixteen, Jack returned to see how much higher the nail was. If the tree grew by five centimetres each year, how much higher would the nail be?

I look at you, you look at me I raise my right, you raise your left. What am I?

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

Only one colour, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?