Facing the east R walks straight 4 km, turns left and walks 3 km and again turns left and walks 4 km. How far is R now from the starting point?

To solve this direction sense problem, we trace R's path step-by-step. R starts by walking 4 km East. Turning left from East means R is now facing North, where he walks 3 km. A second left turn from North means R is now facing West, and he walks 4 km in this direction. In a coordinate system, the first movement is +4 on the x-axis, the second is +3 on the y-axis, and the third is -4 on the x-axis. This sequence forms three sides of a rectangle. The net displacement on the x-axis is zero (4 km East minus 4 km West), leaving only the 3 km displacement on the y-axis (North). Therefore, R is exactly 3 km from the starting point. This aligns with standard logical reasoning techniques where left turns are treated as 90-degree anti-clockwise rotations .