Apedia Logo Apedia
Join

Choose Language

Select your preferred reading language
🇬🇧
English
✔
🇮🇳
हिन्दी
✔
✕
Full View
Reasoning
Direction Sense
EN हिंदी
✕
NTPC Graduate Tier 1 2025 Shift-2 📅 06 Jun, 2025

Raju starts from point A and drives 9 km towards the west. He then takes a left turn, drives 7 km, turns left and drives 11 km. He then takes a left turn and drives 13 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
5 km to the north
B
6 km to the south
C
5 km to the south
D
6 km to the north
Result Summary
Logo

APEDIA

NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-2
Raju starts from point A and drives 9 km towards the west. He then takes a left turn, drives 7 km, turns left and drives 11 km. He then takes a left turn and drives 13 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
6 km to the south
Coordinate Mapping: Let starting point A be (0,0). Driving 9 km west moves Raju to (-9, 0). A left turn (facing south) for 7 km brings him to (-9, -7).Tracking ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Direction Sense
Pg. No -
💡 Analysis & Explanation
Coordinate Mapping ▼
Let starting point A be (0,0). Driving 9 km west moves Raju to (-9, 0). A left turn (facing south) for 7 km brings him to (-9, -7).
Tracking Subsequent Turns ▼
Another left turn puts him facing east. Driving 11 km changes his position to (-9+11, -7) = (2, -7). His next left turn directs him north. Going 13 km places him at (2, -7+13) = (2, 6).
Final Position Assessment ▼
The final left turn points him west. Driving 2 km lands him at point P (2-2, 6) = (0, 6).
Return Route Calculation ▼
He is currently at (0, 6) on the y-axis, 6 km strictly north of his starting origin A (0,0). To return, he must travel down the y-axis.
Conclusion ▼
Raju must drive exactly 6 km to the south.
← Prev
42 / 100
Next →