What is the word or phrase?

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

A frog is at the bottom of a 30-meter well. Each day he summons enough energy for one 3-meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well?

why number 8549176320 is one of a kind?

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?

What is red and smells like blue paint?

In a chess board, the queen piece can move horizontally, vertically and diagonally freely. The picture represents the same.Can you place 8 queens on the board in a manner that none of the queens can attack each other?

You need to pick one entry from pot A and one from pot B to have a perfect match. Can you do it?

Can you find the thief by just looking at the picture below?

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