A person facing the East travels 4 km straight and then turns right and travels 3 km, then further turns left and travels 2 km and finally turns left and travels 3 km. The minimum distance between the final point and the initial point, and the direction in which the person is facing at the final point are, respectively

Correct Option: (d) 6 km, North

Let's trace the person's journey step by step. Starting point is origin (0,0) facing East. 1. Travels 4 km straight East to point (4,0). 2. Turns right (South) and travels 3 km to point (4, -3). At this point, facing South. 3. Turns further left (East) and travels 2 km to point (6, -3). At this point, facing East. 4. Finally turns left (North) and travels 3 km to point (6, 0). At this point, facing North. The final point is (6,0) and the initial point is (0,0). The minimum distance between them is the straight-line distance along the X-axis: 6 - 0 = 6 km. Wait, let's re-verify the final direction and distance options. Options: (a) 12 km, East, (b) 6 km, East, (c) 8 km, North, (d) 6 km, North. Distance is 6 km and final direction is North. Thus, option (d) 6 km, North is correct.