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

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

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see?

What has to be broken before you can use it?

What have one eye but still cannot see?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?

Twice ten are six of us,

Six are but three of us,

Nine are but four of us;

What can we possibly be?

Would you know more of us?

Twelve are but six of us,

Five are but four, do you see?

What are we?

While going to your grandmother's house, you counted Twenty houses on the right side. While returning back to your home, you counted Twenty houses on the left side.

How many houses are there between your home and your grandmother's home?

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