Trace Raj’s movements carefully:
1. Starts at center, walks diagonally North-East (NE) to the midway point.
2. Turns right from NE, which points him South-East (SE), and walks to the far end.
3. Turns right again from SE, facing South-West (SW), begins walking.
4. At midway, turns right from SW, now facing North-West (NW).
5. Halfway, turns left from NW, ending facing South-West (SW).
Therefore, Raj’s final direction is South-West.