In which direction should the missing arrow point?

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?

Intelligence Agency need to break the vault but the problem is that they are not able to break the vault.

On the vault, a text is written as:

31 11 33 33 43 45
21 25
31 24 11 31 51 41

To Break the code Intelligence Agency brings a mathematician named Joseph.
Minutes later he deciphers the code.

Whats the code?

Can you convert the number zero(0) into a positive number using just one mathematical operator ?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

I have branches, but no fruit, trunk or leaves. What am I?

Two natural numbers have a sum of less than 100 and are greater than one.

John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
John: 'I am not aware of those numbers.'
Jacob: 'I knew you wouldn't be. I am not aware myself.'
John: 'Now I know them!'
Jacob: 'Now I know them, too!'

What are the two numbers?

In a football game, Christina defeated Teresa by 2 - 0 but no man from either side scored. How can this be possible?

Find the hidden panda in the image below.

They came out at night, without being called.
They lost at day, without being stolen.
Who are they?