I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

I am beautiful, up in the sky. I am magical, yet I cannot fly. To people I bring luck, and to some people, riches. The boy at my end does whatever he wishes. What am I?

The host of a game show, offers the guest a choice of three doors. Behind one is a expensive car, but behind the other two are goats.
After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

In a university, a professor gave a set of three problems to the three brilliant students of his class. See the image for the questions.

Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

If eleven plus two equals one, what does nine plus five equal?

A very interesting trivia question for all.

Why do men's shirts have their buttons on the right side and women's have buttons on the left-hand side?

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?

why number 8549176320 is one of a kind?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.