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

The dirtier I get, the whiter I look. Who am I?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

Which number should replace the question mark?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

You see a boat filled with people, yet there isn’t a single person on board. How is that possible?

I am a word of 12 alphabets.

* Alphabets 12, 4, 7, 2, 5 : Eastern beast of burden
* Alphabets 1, 8, 10, 9 are street made famous by Sinclair Lewis.
* Alphabets 11, 3, 6 are past.

On whole it means a person suffering from delusions of greatness.

What Is it ?

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?

What number when divided in half becomes zero?

Things are just as they seem, right? Well, check again.
Can you count the number of tigers in this picture ?