Can you solve below mathematical equation?

2^1234 - 2^1233

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

A car is crossing a 20 km-long bridge. The bridge can support at most 1500kg of weight over it. If somehow, the weight on the bridge becomes more than that, it will break.

Now, the weight of the car is exactly 1500kg. At the midway, a bird comes and sits on the roof of the car. This bird weighs exactly 200 grams.
Can you tell if the bridge breaks at this point or not?

Count the number of balls in picture below:

Two-person want to cross a river. Only one boat is present on the riverside that can carry only one person at a time.

However, they still manage to cross the river. How is it possible?

You have 10 balls with you. A friend of yours out of nowhere asks you to place those ten balls in five lines such that each of the lines has exactly 4 balls on them. He needs to check your intelligence. Prove him by doing the task.

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?

Can you find the thief by just looking at the picture below?

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?