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

Solve the mathematical equation in the picture below.

What has many keys but can’t open a single lock?

Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
=========
T O W E L
=========

What begins with T, ends with T, and has T in it?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?

I have teeth but i don't bite. Who Am I ?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

Find out the missing number in the picture attached:

10+10 and 11+11 can give you the same answer.

Explain how?