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

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

In a boat, the father of a sailor's son is sitting with the son of the sailor. However, the sailor is not present on the boat.

Can this even be possible?

Cristina was born in 1888. She just had her 30th birthday today how did that happen?

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

Nodes are shown below and you need to connect them based on the following rule: Every node can be connected to the number of nodes inside them, i.e. the first node there is a value of 1 which indicates that the first node can connect to exactly one node only.Can you do it?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

A plane crashed between the border of Mexico and America. Where do you bury the survivors?

The captain of a ship was telling this interesting story: "We travelled the sea far and wide. At one time, two of my sailors were standing on opposite sides of the ship. One was looking west and the other one east. And at the same time, they could see each other clearly." How can that be possible?

The person who makes it has no need for it; the person who buys it has no use for it. The person who uses it can neither see nor feel it. What is it?