Choose Language

Select your preferred reading language
🇬🇧
English
🇮🇳
हिन्दी
Full View
NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

Sundar starts from point A and drives 12 km towards the east. He then takes a left turn, drives 9 km, turns left and drives 13 km. He then takes a left turn and drives 11 km. He takes a final left turn, drives 1 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 degree turns only unless specified.)

A
2 km to the south
B
1 km to the north
C
2 km to the north
D
1 km to the south
Result Summary
Logo

APEDIA

NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
Sundar starts from point A and drives 12 km towards the east. He then takes a left turn, drives 9 km, turns left and drives 13 km. He then takes a left turn and drives 11 km. He takes a final left turn, drives 1 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 degree turns only unless specified.)
Correct Answer
2 km to the north
Coordinate Mapping: Let starting point A be (0,0). Moving 12 km east brings him to (12,0).Tracing the Path: A left turn (facing North) for 9 km puts him at (12,......
💡 Analysis & Explanation
Coordinate Mapping
Let starting point A be (0,0). Moving 12 km east brings him to (12,0).
Tracing the Path
A left turn (facing North) for 9 km puts him at (12,9). Another left turn (facing West) for 13 km places him at (-1,9). A left turn (facing South) for 11 km brings him to (-1,-2).
Final Position
His final left turn (facing East) for 1 km leaves him exactly at point P (0,-2).
Conclusion
From (0,-2), Sundar must travel exactly 2 km straight North to return to the origin A (0,0).