I travel all around the world but always stay in the corner. What am I?

Prove that the below maths equation is true.

8 + 8 = 91

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.

Identify Me

Hint1: I am a god
Hint 2: I am a planet
Hint 3: measurer of heat

You need to arrange three 7 and mathematical symbols to form number 1?

There are nine dots in the picture that has been attached with this question. Can you join all the dots by drawing four straight lines without picking up your pen?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

What occurs twice in a week, once in a year but never in a day?

What Adam and Eve do not have but the rest of the people have?

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?