Can you solve below mathematical equation?

2^1234 - 2^1233

For an extra income, John decided to work at a Hotel for one hour daily. The manager offers him that they will pay him $11 after every 11 days.
However, John offered a different proposition to the manager. The offers stand as:
He will be paid just a penny on his first day.
Two pence will be paid on the second day,
Four pence will be paid on the third day.
And so on till the 11th day.

Should the Hotel manager accept his offer?

Which digit occurred maximum times between the number 1 and 1000?

Why is a river so rich ?

You have two buckets of 11 liters and 6 litres.
How can you measure exactly 8 litres?

In which direction should the missing arrow point?

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

Can you find the odd number in the following?

2716, 4135, 5321 and 7145

What country can make you shiver?

I have no life, but I can die. What am I?