There are 7 places A, B, C, D, E, F and G in a city connected by various roads AB, AC, CD, DE, BF, EG and FG. A is 6 km south of…

Mental Ability & Logical Reasoning ·Previously asked in UPSC Civil Services Examination 2025

View the full solved paper: GS Paper II

Question

There are 7 places A, B, C, D, E, F and G in a city connected by various roads AB, AC, CD, DE, BF, EG and FG. A is 6 km south of B. A is 10 km west of C. D is 5 km east of E. C is 6 km north of D. F is 9 km west of B. F is 12 km north of G. A person travels from D to F through these roads. What is the distance covered by the person?

  1. A. 20 km
  2. B. 25 km
  3. C. 31 km (Correct answer)
  4. D. 37 km

Correct Answer

Option C — 31 km

Detailed Solution & Explanation

The correct answer is 31 km.

Key Points

  • Plotting: A is 6 km south of B (B north of A).
  • A is 10 km west of C (C east of A).
  • C is 6 km north of D (D south of C).
  • D is 5 km east of E. F is 9 km west of B. F is 12 km north of G. Route D to F using given roads: D→C (6 km) + C→A (10 km) + A→B (6 km) + B→F (9 km) = 31 km. Answer: 31 km.