If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

The richest man in the city Mr Rechard is kidnapped. James Bond is appointed to the case. At the crime scene, a note is found written by Mr Richard. The note read:

"First of January, Fourth of October, Fifth of March, Third of June."

James Bond knew that somehow, the killer's name was hidden in the note. The following were the suspects:

Jack Richard, the son and the heir of property.
John Jacobson, the employee of Richard.
June Richard, the wife of Richard.

James Bond took only a few moments to deduce the killer's name. Can you tell who was the killer?

There are a number of books on a shelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?

13 decks of cards have been mixed. What is the minimum number of cards that must be taken out from the above-mixed cards to guarantee at least one 'four of a kind?

Solve the following series:
AZ, GT, MN, __, YB

What word is identified by the below rebus?

Your Your Your Your Your
Your Your Your Your Your

Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet.

How many miles does the pigeon travel?

Can you solve the below tricky visual equation?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?