How can you leave a room with two legs and return with six legs?

Can you solve the below algebraic mathematical equation?

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

In a supermarket, there is an intelligent glass pane before a refrigerating unit. This glass pane allows cherries and apples through it but does not allow grapes and Orange to pass through it.

Can you identify the rule that the glass pane is following?

In four steps you need to move the word 'cold' From 'warm' by replacing one alphabet at a time such that every word formed at each step is acceptable in English Dictionary.

What does a man do only once in his lifetime, but women do once a year after they are 29?

A spaceship was lost. The detective was given a piece of paper. This was the location of the spaceship! This is what the slip had scribbled on it:
Juice, Umbrella, Potato, Ice, Tomato, Elephant, Rice.

Where is the spaceship?

I am an eight letter word and I am a computer terminology.
The second, third and fourth letters make an animal.
The fourth, fifth, sixth, seventh and eighth letters make a weapon.
The first, second, third and fourth letters can be taken as an outcome of any exam.
The fifth, sixth, seventh and eighth letter combine to form a high end typing software.

Can you tell who am I ?

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

Give it food and it will live; give it water and it will die.

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?