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

What is the next number in this series?

4,12,84,3612....

What is the word or phrase?

Take one out and scratch my head, I am now black but once was red. What am I?

At a party, there are five people and a whole round cake lying at the centre of the table. Only four people will make a cut and take their piece and the last one will get the remaining piece on the table. How can they make sure that everyone gets a 1/5th of the piece?

Kareena is older than Katrina and younger than Karishma. Isabelle is younger than Bipasha and Karishma. Bipasha is older than Karishma. If Kareena and Isabelle are the same age, who's the youngest?

I am never scared but became petrified and can’t live in a house but would die to make one. What am I?

It's a protector.
It sits on a bridge.
One individual can see directly through it, while others wonder what it hides.

What is it?

See the given image carefully. What you have to do is move the blue checkers in the position of the black checkers and vice versa. You are only allowed to move the checker to an adjacent empty space. Do it in the least possible moves.

You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?