What is both possible and impossible at the same time?

You need to remove two matchsticks to make the below equation true. Can you do it ?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

Can anyone tell me a word in the English dictionary which has a silent 'z'?

A and B have a certain number of chocolates with them. If B gives one chocolate to A, they will have an equal number of chocolates. But if A gives one chocolate to B, then A will be left with half the number of chocolates that B has.

Can you find out the number of chocolates they have right now?

What is the next number in this series?

4,12,84,3612....

In which direction should the missing arrow point?

In a university, a professor gave a set of three problems to the three brilliant students of his class. See the image for the questions.

There is a circular car race track of 10km. There are two cars, Car A and Car B. And they are at the exact opposite end to each other. At Time T(0), Both cars move toward each other at a constant speed of 100 m/seconds. As we know both cars are at the same speed they will always be the exact opposite to each other.
Note, at the center, there is a bug which starts flying towards Car A at time T(0). When the bug reaches car B, it turns back and starts moving towards the car A. The speed of bug is 1m/second. After 5 hours all three stop moving.
What is the total distance covered by the bug?

Readers with high attention to detail can identify the vampire in the picture. Can you?