What is both possible and impossible at the same time?

What begins with T, ends with T, and has T in it?

I am a ten letters word
The first four letters have the power to rule,
Next, four-letter can be eaten.
The next three-letter represents a lady.
I can fly as well

what am I looking for?

Three friends named Mr. Black, Mr. Yellow and Mr. Green enter a pub on a weekend night. They are wearing either a Black, Yellow or Green shirt.

Mr. Yellow says to them, 'Did you notice that we all are wearing different color shirts than our names?'

To this, the man who was wearing the Green shirt said. 'Wow, thats right.'

Can you identify who is wearing which colour shirt ?

Can you guess the name of the month by looking the below rebus ?

How many words can a quill made with the feather of a pigeon write with a 100ml bottle of black ink?

Take away the whole and some still remain. What is it?

While preparing the table for dinner, wife came up with an idea to tease his mathematician husband. She asked her husband to pick nine toothpicks and make ten without breaking any toothpick.

The husband was also smart and did it within seconds. How ?

John was piloting a plane behind a car but was never able to overtake it. Why?

Can you calculate the probability of getting a sum of six when a dice is thrown twice?