What is more useful when it is broken?

For this puzzle, you might have to find logic in something illogical. But hey, it's fun and a healthy little break from your strenuous puzzle-solving sessions.

Can you decipher the meaning in the following cluster of letters?

ITIT,NCENTCENT

I am dry when I go inside, but wet when I am pulled outside.
The longer I am inside, the stronger I get
When I am completely out, I am wet and I literally sag
Who am I?

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

How many bananas can you eat if your stomach is empty?

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

When can we add 2 to 11 and get 1 as the correct answer?

In the given figure, you can see that four match sticks are used to form a square. Can you form five squares by using six matches?

Replace the question mark in the picture below.

Below, you can see three complete equations and one incomplete. Based on the three complete ones, can you complete the incomplete one?

5 $ 4 $ 3 $ 9 = 4215
6 $ 9 $ 2 $ 6 = 3816
4 $ 7 $ 3 $ 3 = 1122
7 $ 2 $ 7 $ 4 = ____