Can you identify the famous TV character from the rebus below?

I have branches, but no fruit, trunk or leaves. What am I?

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 10 matches are played in total, how many players participated?
(b) If 20 players took part in the tournament, how many matches were played?

A father is locked up in jail. His wife has gone bankrupt. Their male child has to sell his hotel in order to gain some money. Yet their girl child does not care and is quite happy.

How can someone be so rude?

John said, "If yesterday was tomorrow, today would be Friday."

When did John make this statement?

Can you write down eight eights so that they add up to one thousand?

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

What English word has three consecutive double letters?

What do you get if you add 2 to 100 four times?

You have a roll of cloth 1km long. You have a machine which cuts this roll into pieces of 10-meter-long cloth.

How long would it take for the machine to cut the roll if each cut took 4 secs?