Can you solve the below algebraic mathematical equation?

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

What word begins and ends with an E, but has only one letter?

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS

Here is what you have to do. You have to throw a ball as hard as you can but it must return back to you even if it does not bounce at anything. Also, you have nothing attached to the ball. There is no one on the other end to catch that ball and throw it back at you.

How will you do it?

You can win me and lose me but never buy me
You can not eat me and never want to part with me
I can make you cry or bring you joy
I am not a machine and definitely not a toy
You keep me but i am not forever just yours
You might find me in a case or on a shelf next to a vase
I am hard and i am tall if you bump me i am sure to fall
I am made of different materials and am at many events
If your lucky and fight hard I might be yours
What am I ?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

There was an aeroplane crash, every single person died, but two people survived. How is this possible?

A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.
Where's the father?

If it took eight men ten hours to build a wall, how long would it take four men to build it?

Can you find out which options fits best with the missing column?