Solution:

1 or -1

Solution:

3

Explanation:
If I had 4 eggs -- Its just imagination.
A thief gives me 3 -- I go three eggs.
My farm rooster lays 5 eggs -- A Rooster can't lay eggs.

Solution:

A-T

Solution:

A

Solution:

15

Solution:

They are playing basketball with a soccer ball.

Solution:

The deer hiding in the trees.

Solution:

2

2^2^(2 * 0)^2
2^2^(0)^2
2^2^0
2^1
2

Solution:

Chilwell can go through as all the person whose name contains even number of letters can go through the door.

This is a classic green glass door riddle.

Solution:

41

There are 6 people alive, plus you and there are 34 people dead. Making it a total of 41 people in the room.