What has one letter and starts with an E?

I have no life, but I can die. What am I?

There are a number of books on a shelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?

During which month do people sleep the least?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

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?

They came out at night, without being called.
They lost at day, without being stolen.
Who are they?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

He digs out tiny caves and stores gold and silver in them. He also built bridges of silver and made crowns of gold. They are the smallest you could imagine. Sooner or later everybody needs his help, yet many people are afraid to let him help them. Who is he?

Can you name any English verb that becomes its past tense by simply rearranging the alphabets ?