What word begins and ends with an E, but has only one letter?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

What breaks yet never falls, and what falls yet never breaks?

A man calls his dog from the opposite side of a river. The dog crosses the river without a bridge or a boat and manages to not get wet. How is this possible?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

I get hot but I never sweat,
I cook food but I am not a chef,
I have a door but you can't enter me,
I have a light but I am not a lamp.
Who am I?

I don't get anymore wetter, no matter how much rain falls on me.

A man and a dog were going down the street. The man rode, yet walked. What was the dog’s name?

I am a type of vehicle that has two wheels and is powered by humans. What am I?
Hint 1: You can ride me for exercise.
Hint 2: I am environment-friendly.

You knock a Table over in the library, and suddenly 20 eyes are looking at you.