Logic riddles

There were two women, standing and facing the opposite ways. The first lady was facing south and the second lady was facing north. But, they could see each other. How is that possible?

Four children and their pet dog were walking under a small umbrella. But none of them became wet. How?

What came first, the chicken or the egg?

There is something which arrested for attempting but not for completing. What is it?

A girl was ten on her last birthday, and will be twelve on her next birthday. How is this possible?

I repeat only the last word you say. The more I repeat, the softer I got. I cannot be seen but can be heard. What am I?

What has a head and a tail, but no body?

Pete is a worker on a large ship with hundreds of other men. He is constantly making mistakes, tying ropes the wrong way, steering the ship the wrong way, and making other blunders. One time he accidentally caused the ship to get stuck in a shallow shore, causing thousands of dollars in damage. However, when Steve, the captain of the ship, is asked about Pete, Steve says "I wish we had five men like Pete on this ship." Why would he say this?

Which vehicle is spelled the same forwards and backwards?

What is so delicate that saying its name breaks it?