After walking 6 kms, I turned right and covered a distance of 2 kms. Then I…

Concept: When you turn right and then turn left (or turn left and then turn right) after walking, the two turns cancel out — a +90° turn followed by a -90° turn returns you to the exact heading you started with. So after such a turn pair, the direction you are moving in at the end is the SAME as the direction you originally started in, no matter what distances you covered on each leg.

1. Let the starting (and initial walking) direction be D. Walk 6 km in direction D.

2. Turn right (a +90° turn) and walk 2 km — you are now heading 90° clockwise of D.

3. Turn left (a -90° turn) and walk 10 km — this turn cancels the earlier right turn, so you are heading back in direction D again.

4. You are told the final direction of movement is North. Since the final direction equals the starting direction D, D must be North.

Cross-check: Simulating from North confirms it — walking North, turning right faces East, then turning left faces North again, matching the given final direction. Simulating from South, West, or South-east instead ends facing South, West, or South-east respectively, never North, so none of those fit.