What has many keys but can’t open a single lock?

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?

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

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?

John was piloting a plane behind a car but was never able to overtake it. Why?

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?

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

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

I’m orange, I wear a green hat and I sound like a parrot. What am I?

During which month do people sleep the least?