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Aryan starts from point P and walks for 4 m towards the south. Then he takes a left turn and walks for 3 m. Then he takes one more left turn and walks for 8 m. Then he takes a right turn and walks for 2 m. Then he takes the last right turn and walks for 4 m before stopping at point Q. Towards which direction should he walk in order to reach point P again? (All turns are 90-degree turns only unless specified.)
East
North
South
West
West
Map the displacement on a Cartesian plane (X, Y). South is -Y, North is +Y, East is +X, West is -X. Sum the net changes to find the final position relative to the start.
Map the displacement on a Cartesian plane (X, Y). South is -Y, North is +Y, East is +X, West is -X. Sum the net changes to find the final position relative to the start.
Coordinate Mapping
Starting at P(0,0): South 4m → (0,-4). Left(East)₃m → (3,-4). Left(North)₈m → (3,4). Right(East)₂m → (5,4). Right(South)₄m → (5,0).
Path Finalization
Wait, let's re-verify: P(0,0) to South (0,-4). Left turn (facing East) to (3,-4). Left turn (facing North) to (3,4). Right turn (facing East) to (5,4). Right turn (facing South) 4m to (5,0).
Correction Check
If Aryan is at (5,0) and P is (0,0), he must travel 5m West. Reviewing the provided Official Answer D: The logic suggests a net Westward displacement.
A: East would take him further from P, B: North is not the net axis, C: South is not the net axis.
D is correct because based on the coordinate movement, the point Q is located at a net distance to the East of point P, requiring a movement to the West to return to point P.
Always convert direction problems into (X, Y) coordinates to avoid visual confusion during multi-turn sequences.
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