Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Dhiraj starts from Point A and drives 11 km towards west. He then takes a right turn, drives 8 km, turns right and drives 14 km. He then takes a right turn and drives 11 km. He takes a final right turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90┬░ turns only unless specified.)
5 km to the west
3 km to the north
3 km to the south
3 km to the east
3 km to the north
Track the net displacement using coordinates (West/East as X, North/South as Y). Final position relative to origin provides the answer directly.
Track the net displacement using coordinates (West/East as X, North/South as Y). Final position relative to origin provides the answer directly.
Establish Coordinates
Start at Origin (0, 0). Move 11km West: (-11, 0). Move 8km Right (North): (-11, 8). Move 14km Right (East): (3, 8). Move 11km Right (South): (3, -3). Move 3km Right (West): (0, -3).
Calculate Final Position
The final coordinate is (0, -3). This means Point P is 3km South of the starting Point A (0, 0).
Determine Return Direction
To return from (0, -3) to (0, 0), one must move 3km in the North direction.
A: Incorrect, moving West changes the X-coordinate. C: Incorrect, moving South increases the distance from the origin. D: Incorrect, moving East changes the X-coordinate.
B is correct because the coordinate calculation shows Point P is at (0, -3), requiring a 3 km displacement North to return to the starting Point A (0, 0).
In direction problems, always treat 'Right' turns as 90 degrees clockwise and 'Left' as 90 degrees counter-clockwise relative to the current facing direction.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants