Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

There is something which you can be arrested for attempting but not for successfully completing.

If,
29 - 1 = 30
9 - 1 = 10
14 - 1 = 15

Based on similar logic, Can you prove that the below algebraic equation is true?
11 - 1 = 10 ?

An inspection by the superintendent of St. Joseph School was scheduled on the next day. The class teacher Jenifer knew that he would be asking questions from her class and she would have to choose a pupil to answer. To offer a perfect impression over him, the teacher explained certain instructions to the students to maximise the chances of getting correct answer every time.

What did she say to the students?

What does this mean?

CCCCCCC

If an electric train is travelling south, then which way is the smoke going?

I cannot talk, but I always reply when spoken to. What am I?

What came first, the chicken or the egg?

You have three orange, two pink and five purple balls in the drawer beside your bed. There is no electricity and the room is entirely dark. How many balls must you take out to ensure at least one ball of each colour at least?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?