You will never reach the door! If you only move half the distance, then you will always have half the distance remaining no matter, how small is the number.
Answer:- When the two men looked at each other, the clean man thought his face was dirty as well. The dirty man, looking at the first's place, thought his was clean.
Answer:- Since they had plenty of sand available, they could pour a little at a time into the hole. The bird would constantly keep shifting its position so that it stood on the rising sand.