Logic riddles

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

Can you spot what's wrong with the following sentence? PETER WAS ANGRY AT HIMSELF BECAUSE HE ACCIDENTALLY LEFT THE THE KEYS TO HIS CAR AT HIS FRIEND'S HOUSE.

I am a nut with a whole. What am I?

A dead body is found at the bottom of a multistory building. Seeing the position of the body, it is evident that the person jumped from one of the floors, committing suicide. A homicide detective is called to look after the case. He goes to the first floor and walks in the room facing the direction in which the body was found. He opens the window in that direction and flips a coin towards the floor. Then he goes to the second floor and repeats the process. He keeps on doing this until he reaches the last floor. Then, when he climbs down he tells the team that it is a murder not suicide. How did he come to know that it was a murder?

Who makes it, has no need of it. Who buyes it, has no use for it Who uses it can neither.

This is as light as a feather, yet no man can hold it for long. What am I?

Dave and Brad, two popular politicians, met at a club to discuss the overthrow of their party leader. They each ordered a vodka on the rocks. Brad downed his and ordered another. He then drank his second in a gulp and decided to wait before he ordered a third. Meanwhile, Dave, who was sipping his drink, suddenly fell forward dead. Both men were setup for an assassination. Why did Dave die and Brad live?

I am a 5 letter word. Take away the first letter and I am a country's name. Take away the first two letters and I become the opposite of the 5 letter word. Who am I?

I can only live where there is light, but I die if the light shines on me. What am I?

I am a mother and a father, but have never given birth. I'm rarely still, but I never wander. What am I?