Can you solve below mathematical equation?

2^1234 - 2^1233

I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

Solve this tricky question. You are trapped in a forest. With you, you have a gun preloaded with two bullets in it. In front of you, there is a tiger, a leopard and a jaguar.

How do you survive?

Which word is least like the others? Third, fourth, fifth, sixth, seventh, eighth, ninth?

How many points are there on the globe where, by walking one mile south, then one mile east and then one mile north, you would reach the place where you started?

When I go in I might cause pain. I cause you to spit and ask you not to swallow. I can fill your hole. What am I?

What does this simple rebus mean?

A Car driver was heading down a street in Washington. He went right past a stop sign without stopping, he turned left where there was a 'no left turn' sign and he went the wrong way on a one-way street. Then he went on the right side of the road past a cop car. Still, he didn't break any traffic laws. Why not?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?