Two travellers turning left twice from perpendicular starts: From X, Rani goes West; Sarita goes North; same speed. After some time, both turn left and walk; again both turn left. Their faces are in which directions with respect to X?

Introduction / Context:We need final facings for two independent walkers after identical turn patterns.

Given Data / Assumptions:

• Rani: West → left → South → left → East.
• Sarita: North → left → West → left → South.

Concept / Approach:Apply turns relative to each traveller's current heading.

Step-by-Step Solution:

Verification / Alternative check:Two lefts rotate 180° from the original heading.

Why Other Options Are Wrong:They mismatch at least one traveller's final orientation.

Common Pitfalls:Assuming both end with the same facing; they start perpendicularly, so final facings differ.

Final Answer:East and South