Direction: Study the information given below carefully and answer the question…
2025
Direction: Study the information given below carefully and answer the question that follows.
Shubhanshi starts from point P, walks 6 m north and reaches point Q. At point Q, she turns right and reaches point R after walking 4 m. After reaching point R, she turns right and walks 3 m to reach point S. Further, she walks to point T which is 8 m to the west of point S. She further goes 5 m south to point U, turns left and walks 8 m to reach point V. Shubhanshi goes 2 m North from her final position V. Now, she is how far and in which direction from her initial position P?
- A.
4 m, North
- B.
4 m, West
- C.
5 m, West
- D.
4 m, East
Show answer & explanation
Correct answer: D
Concept: In a direction-sense problem, track the walker's position on a coordinate plane where North = +y, South = -y, East = +x, West = -x, and re-derive the current facing direction after every turn (a right turn rotates facing 90 degrees clockwise; a left turn rotates it 90 degrees counter-clockwise) before applying the next distance. The final answer is the straight-line displacement vector from the start point to the end point - its direction and magnitude - not the total distance walked.
Start at P = (0, 0).
Walk 6 m north to reach Q = (0, 6).
At Q, turn right (facing north, so now facing east) and walk 4 m to reach R = (4, 6).
At R, turn right (facing east, so now facing south) and walk 3 m to reach S = (4, 3).
Walk 8 m west to reach T = (4 - 8, 3) = (-4, 3).
Walk 5 m south to reach U = (-4, 3 - 5) = (-4, -2).
At U, turn left (facing south, so now facing east) and walk 8 m to reach V = (-4 + 8, -2) = (4, -2).
From V, walk 2 m north to reach the final point F = (4, -2 + 2) = (4, 0).
Cross-check: net north-south displacement = (6 + 2) north - (3 + 5) south = 8 - 8 = 0. Net east-west displacement = (4 + 8) east - 8 west = 12 - 8 = 4 east. So F lies exactly 4 m east of P, matching the value '4 m, East'.
(Diagram above illustrates the traced path.)