A mapping robot starts at X and moves 31 km West; then 18 km North; then 15 km East; then 7 km South. Locate its final position relative to X.

Last Updated: 07 Sept 2026

ANorth-West

BNorth

CSouth

DEast

Correct Answer: North-WestYour Answer: A

Explanation

Step 1: Place the start at O(0,0); positive x means East and positive y means North. | Step 2: Combine East and West moves: the net horizontal coordinate is x = -16 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = 11 km. | Step 4: Thus the final point is (-16,11); its x-sign points West and its y-sign points North. | Step 5: Combining those two directions places the point in the North-West quadrant. | Step 6: Therefore the traveller is North-West of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option A — North-West.

Important Notes

Draw a small compass and fix the start at (0,0). |
Convert every East/West move into an x-change and every North/South move into a y-change. |
Cancel opposite moves axis by axis. |
Use the signs of the final coordinates: (+,+) is North-East, (−,+) North-West, (+,−) South-East and (−,−) South-West. |
Direction depends on displacement, not on the order in which the same component moves are listed. |

Test your Distance and Direction knowledge

Start Topic Test

Same Topic MCQs

View All

Before sunset, a vertical pole casts a shadow towards East. Identify the Sun's dire...A tree casts its shadow towards West in the early morning. In which direction is th...In the evening, Ajay's shadow falls on his left. Determine the direction he is faci...

A mapping robot starts at X and moves 31 km West; then 18 km North; then 15 km East; then 7 km South. Locate its final position relative to X.

Explanation

Important Notes

Related Questions

Test your Distance and Direction knowledge

Same Topic MCQs