Read the given information carefully and answer the question given below:…

2025

Read the given information carefully and answer the question given below: Ramlin and Divya are two friends. They start walking from the same point but in opposite directions. Ramlin walks towards north. After walking 10 km, Ramlin takes a right turn and walks for 5 km, then turns 90 degrees in a clockwise direction and walks 20 km to reach his office, and then takes a left turn and walks 5 km to reach the canteen. Divya follows the same set of turns as Ramlin. What is the direction of Divya's office with respect to the starting point?

  1. A.

    North-west

  2. B.

    North

  3. C.

    South

  4. D.

    South-east

Show answer & explanation

Correct answer: A

Concept: In a direction-sense problem, track displacement on two independent axes — a vertical North-South axis and a horizontal East-West axis. A right turn always rotates the current heading 90 degrees clockwise, and a left turn rotates it 90 degrees counter-clockwise, regardless of which way you happen to be facing at that moment. The final direction from the start point is read purely from the sign of the net vertical displacement and the net horizontal displacement — north-and-west net displacement places the destination in the north-west quadrant, and likewise for the other three quadrants.

  1. Divya starts at the same point as Ramlin but, per the given condition, walks in the opposite opening direction to Ramlin's north — so Divya's first leg is 10 km south.

  2. She then takes a right turn, i.e. a 90-degree clockwise turn from her current (south) heading, which turns her to face west, and she walks 5 km west.

  3. She turns 90 degrees clockwise again — from west this lands her facing north — and walks 20 km north to reach her office.

  4. Track the two axes separately: vertically she has covered 10 km south and then 20 km north, a net of 10 km north of the start; horizontally her only sideways leg was 5 km west, so she ends 5 km west of the start.

Cross-check: Since the net vertical displacement is north and the net horizontal displacement is west, the office lies in the quadrant that is both north and west of the starting point. As an independent check, running the same turn sequence for Ramlin (10 km north, 5 km east, 20 km south) nets 10 km south and 5 km east of the start — the south-east quadrant — which is exactly the mirror image of Divya's result, as expected for two walkers who begin in opposite directions but otherwise follow identical turns.

Hence, Divya's office is to the north-west of the starting point.

Explore the full course: Wipro Preparation

Loading lesson…