What does the following BrainBat signifies?

ABCDEFGHIJKLMNOPQRSTUVWYZ

QQQQQQQQQQQQQQQQQQQQQQQQQ.

Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?

Assume the given figure to be a delicious doughnut. Yes, now you can concentrate more on the puzzle. So you have this delicious doughnut in your refrigerator when your friends come knocking at the door. There are eight of them. Now you have to make three cuts in this doughnut so that each one of you nine people can enjoy a piece of it. Neither you nor your friends would mind the size of their piece as long as they are getting it. How will you do it?

If you say my name, I will no longer exist. What am I?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

Can you convert the number zero(0) into a positive number using just one mathematical operator ?

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

What is the next number in this series?

4,12,84,3612....

A man says, "Brothers and sisters, have I none, but that man's father is my father's son." Who is that man?

Which is the smallest number that you can write using all the vowels exactly once?