Can you solve below mathematical equation?

2^1234 - 2^1233

You are an expert on paranormal activity and have been hired to locate a spirit haunting an old resort hotel. Strong signs indicate that the spirit lies behind one of four doors. The inscriptions on each door read as follows:

Door A: It's behind B or C
Door B: Its behind A or D
Door C: It's in here
Door D: It's not in here

Your psychic powers have told you three of the inscriptions are false, and one is true. Behind which door will you find the spirit?

Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

I add 5 to 9 and get 2. The answer is correct, so what am I?

What does this below rebus puzzle mean?

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99

Take away the whole and some still remain. What is it?

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

A girl says this to her best friend: “I was born in 1955, and I celebrated my 17th birthday last weekend.” Her best friend thinks she’s lying, but she’s actually correct. How is that possible?

I have Rs.50 and I spend it in the way as below.