Can you solve below mathematical equation?

2^1234 - 2^1233

I have a five and a three-gallon jar. Assuming there is an infinite supply of water, how can I measure one-gallon water?

What does this mathematical rebus means ?

Which wheel of car does not rotate when you turn your car right?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?

How many times can you subtract the number two from the number fifty?

A man was just doing his job when his suit was torn. Why did he die three minutes later?

You are playing a game with your friend Jack. There are digits from 1 to 9. You both will take turn erasing one digit and adding it to your score. The first one to score 15 points will win the game.

Would you want to play first or second?

PS: The sum should be exactly 15.

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?