Evaluating divisibility rules across different bases

Assume an initial direction of North to map the relative layout of the path segments:

Relative displacement map from start point (0,0): Net West = 100 + 100 = 200 m. Net South = 300 - 100 = 200 m. Under a North baseline, the destination points to South-West.

The question specifies the destination must be North-East. To transform a South-West outcome into a North-East outcome, the entire orientation map must be rotated by 180^\circ. Rotating our initial baseline of North by 180^\circ forces the true starting direction to be South.

Self-Correction Check: Let's re-verify rotation. North maps to South-West. We want North-East. Distance is same in magnitude. South-West is exactly opposite to North-East. So rotating by 180 degrees changes North to South. Let's test starting South: 100 South, Left \rightarrow 100 East, Left \rightarrow 300 North, Right \rightarrow 100 East. Net = 200 North, 200 East \rightarrow North-East. Perfect.

Answer: (c).