Rehana drives 6 km west from her home and turns left and drives 3 km and then turns left again and drives 10 km. What is the shor…

Reasoning Ability ·Previously asked in JKSSB Patwari 2024

View the full solved paper: JKSSB Patwari – 1 September 2024 Set A

Question

Rehana drives 6 km west from her home and turns left and drives 3 km and then turns left again and drives 10 km. What is the shortest distance between her home and office?

  1. A. 10 km
  2. B. 5 km (Correct answer)
  3. C. 12 km
  4. D. 10.05 km

Correct Answer

Option B — 5 km

Detailed Solution & Explanation

The correct answer is 5 km.

Key Points

  • Rehana's route: 6 km West → 3 km South (turned left) → 10 km East (turned left).
  • Net East-West: 10-6=4 km East.
  • Net North-South: 3 km South.
  • Shortest distance = √(4²+3²) = √(16+9) = √25 = 5 km.