The more it dries, the wetter it becomes. Can you tell what it is?

A woman lives in a skyscraper thirty-six floors high and is served by several elevators which stop at each floor going up and down. Each morning she leaves her apartment and goes to one of the elevators. Whichever one she takes is three times more likely to be going up than down. Why?

What happened when the wheel was invented?

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

Eight of us go fourth, not back, to protect our king from an attack. What are we?

John left on a horse on Thursday , was gone for two days, and came back on Thursday after completing his work. How did that happen?

John named his first son Alpha, second Beta, third Charlie and fourth Delta. What is the fifth son's name?

One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

I am a five-letter word under you,
Remove the first letter and I am above you,
Remove the second as well and I am around you.

Who am I?