Apedia Logo Apedia
Join

Choose Language

Select your preferred reading language
🇬🇧
English
✔
🇮🇳
हिन्दी
✔
✕
Full View
Reasoning
Direction Sense
EN हिंदी
✕
RRB NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

Rajendra starts from point A and drives 9 km towards the north. He then takes a left turn, drives 7 km, turns left and drives 11 km. He then takes a left turn and drives 10 km. He takes a final left turn, drives 2 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
3 km to the west
B
1 km to the west
C
2 km to the west
D
3 km to the east
Result Summary
Logo

APEDIA

RRB NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
Rajendra starts from point A and drives 9 km towards the north. He then takes a left turn, drives 7 km, turns left and drives 11 km. He then takes a left turn and drives 10 km. He takes a final left turn, drives 2 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
3 km to the west
[Coordinate Tracking System]: To avoid confusion with overlapping paths, map the journey on a standard Cartesian (X,Y) plane, establishing starting Point A stri......
Ref/Book : RRB NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Direction Sense
Pg. No -
💡 Analysis & Explanation
Introduction ▼
[Coordinate Tracking System]
To avoid confusion with overlapping paths, map the journey on a standard Cartesian (X,Y) plane, establishing starting Point A strictly at origin (0,0). ▼
[Vector Plotting]
1. Drives North 9 km -> Y increases by 9. Position ▼
(0, 9).
2. Turns Left (faces West) for 7 km -> X decreases by 7. Position ▼
(-7, 9).
3. Turns Left (faces South) for 11 km -> Y decreases by 11. Position ▼
(-7, -2).
4. Turns Left (faces East) for 10 km -> X increases by 10. Position ▼
(3, -2).
5. Turns Left (faces North) for 2 km -> Y increases by 2. Position ▼
(3, 0). This is the final Point P.
[Displacement Calculation] ▼
Point P is located at (3, 0), which is exactly 3 kilometers due East of the initial starting Point A (0,0).
[Return Instruction] ▼
To logically traverse back from (3,0) to the origin (0,0), Rajendra must reverse this vector, traveling horizontally along the axis.
Conclusion ▼
He needs to drive precisely 3 km towards the West.
← Prev
97 / 100
Next →