Raju: start facing North and move 20 km; turn right and move 20 km; move 10 km in the North-East direction; turn right and move 20 km; turn right and move 20 km; finally turn left and move 20 km. Now, which direction is Raju facing?

Introduction / Context:Unlike purely axial walks, this sequence includes diagonal motion (North-East) and several turns thereafter. We must track the facing after each turn, including from diagonal headings.

Given Data / Assumptions:

• Start facing North (20 km).
• Right → face East (20 km).
• Move 10 km North-East (heading NE).
• Right from NE → face SE (20 km).
• Right from SE → face SW (20 km).
• Left from SW → face NW (20 km).

Concept / Approach:For diagonal headings, a right turn rotates the facing 90° clockwise along the 8-wind compass (N, NE, E, SE, S, SW, W, NW). Apply each stated turn relative to the current diagonal or axial heading.

Step-by-Step Solution:North → (right) East.East → then move NE (heading becomes NE).NE → (right) SE.SE → (right) SW.SW → (left) NW.Final facing = North-West.

Verification / Alternative check:Plot the headings on an 8-point compass ring and advance one step per 90° turn in the specified direction; you land on NW.

Why Other Options Are Wrong:SE/NE/SW correspond to intermediate headings in the sequence, not the final orientation after the last left turn.

Common Pitfalls:Treating diagonal turns as if they were axial; ensure turns are relative to the current heading.

Final Answer:North-West