What has hands, but can’t clap?

Can you solve below mathematical equation?

2^1234 - 2^1233

In a concert, Christina is performing a dance show with her group.
At 10:00, she and her crew were dancing in an absolutely straight line. At that time Christina was standing in 4th position from both the front and back end of the row.

What was the size of her crew?

A father is locked up in jail. His wife has gone bankrupt. Their male child has to sell his hotel in order to gain some money. Yet their girl child does not care and is quite happy.

How can someone be so rude?

Can you solve the below algebraic mathematical equation?

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

There are five vowels (a, e, i, o, u) in the English language.
Can you tell us a word that contains all these vowels?

Forwards I am heavy, backward I am not. What am I?

Find out a multi-digit number that if multiplied by the number 9 or any of its multiplications products (i.e. 18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.

Prove that the below maths equation is true.

8 + 8 = 91

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.