Choose Language

Select your preferred reading language
🇬🇧
English
🇮🇳
हिन्दी
Full View
NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

Sunil starts from Point A and drives 11 km towards the south. He then takes a left turn, drives 3 km, turns left and drives 4 km. He then takes a left turn and drives 12 km. He takes a final right turn, drives 7 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
8 km to the east
B
9 km to the west
C
7 km to the east
D
9 km to the east
Result Summary
Logo

APEDIA

NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
Sunil starts from Point A and drives 11 km towards the south. He then takes a left turn, drives 3 km, turns left and drives 4 km. He then takes a left turn and drives 12 km. He takes a final right turn, drives 7 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
9 km to the east
Vector Plotting (Origin to First Turn): Let Point A be (0,0). Driving 11 km South puts Sunil at (0, -11).Intermediate Navigations: Facing South, a left turn poi......
💡 Analysis & Explanation
Vector Plotting (Origin to First Turn)
Let Point A be (0,0). Driving 11 km South puts Sunil at (0, -11).
Intermediate Navigations
Facing South, a left turn points him East. Driving 3 km places him at (+3, -11). The next left turn points him North. Driving 4 km places him at (+3, -7).
Late Stage Movements
Facing North, a left turn points him West. Driving 12 km places him at (3 - 12, -7) = (-9, -7). The final right turn from West points him North again. Driving 7 km places him at (-9, 0), which is Point P.
Resolution & Retracing
Point P (-9, 0) is situated exactly 9 km directly West of Point A (0,0) on the horizontal axis.
Conclusion
To return to Point A, he must drive 9 km perfectly straight to the East.