A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225° turn clockwise. In which direction is he walking now?

Walk West, then turn left (clockwise 90° from West means... left of West is South). So now facing South after first left. Then 225° clockwise turn from South: starting from South, 90° clockwise = West, 180° = North, 225° = North-East. Hence final direction is North-East.