Can you solve below mathematical equation?

2^1234 - 2^1233

Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

An exterior architect is asked by a builder to plant seven trees in a manner that there are exactly six rows of trees in a straight line and each row has three trees in particular.

How will he do it?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

A B C D E F G H

These are the letters given to you. Now you have to find out the letter that comes two to the right of the letter which is immediately to the left of the letter that comes three to the right of the letter that comes midway between the letter two to the left of the letter C and the letter immediately to the right of the letter F.

I am five letter word that is under you.
If you remove my 1st letter, then I am over you.
If you remove my 1st and 2nd letters then I am all around you.

Who am I?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

If,

Akriti = 631
Levis = 521
Sroti = 521
Aneel = 533
Then,
Sunil =?

No matter how little or how much you use me, you change me every month. What am I?

Prove that twice of ten is the same as twice of eleven.