Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *

You Throw The Outside, Cook The Inside
Eat The Outside, Throw The Inside.

What Is It?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Find the smallest sentence with all the English alphabet.

Identify Me

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

There is a square piece of paper with a hole that is denoted by the circle on the top right side in the given picture. You have to cut the paper in a manner that it forms two and only two separate pieces of paper and then rearrange the pieces in a manner that the holes come in the centre of the paper.

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

By moving just one matchstick, you need to make the below statement true. Can you do it?