Why is the Hole below a Lock?

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.

What's the only room from which no one can enter or leave

Count The number of F's in the paragraph below:

"FINISHED FILES ARE THE RESULT OF YEARS OF SCIENTIFIC STUDY COMBINED WITH THE EXPERIENCE OF YEARS"

People put me on the table and cut me but do not eat me. What am I?

Solve the mathematical equation in the picture below.

Can you count the number of seconds in a year?

Clue: You need to bother about calculation.

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

What is the word or phrase?

Every words stands for unique digit that makes the arithmetic equation true

SEVEN + SEVEN + SIX = TWENTY.

What are the digits ?