Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

How many sides does a circle have?

Imagine you are in a room with no windows or doors. How will you get out?

There was a blind man. He had four socks in his drawer either black or white. He opened it and took out two socks. Now the probability that it was a pair of white socks is 1/2.

Can you find out the probability that he had taken out a pair of black socks ?

Two in a corner, one in a room, zero in a house, but one in a shelter. 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?

I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
Hint 1: You can find me in a joke.
Hint 2: I am a play on words.

What goes up but never comes down?

I am a normal creature, but I have five hands. I can even have more but even then I will be considered normal.

Who am I?

Can you guess the name of the month by looking the below rebus ?