UPSC Prelims 2025·CSAT·Quantitative Aptitude·Arithmetic

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 ?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A20km
  2. B25km
  3. C31kmCorrect
  4. D37km

Explanation

To solve this, we map the distances between the connected places based on the road descriptions provided:

  1. A to B: 6 km
  2. A to C: 10 km
  3. C to D: 6 km
  4. D to E: 5 km
  5. B to F: 9 km
  6. E to G: Not specified, but the question asks for the path from D to F.
  7. F to G: 12 km

The person must travel from D to F using the available connected roads. By looking at the connections, the route is D to C, then C to A, then A to B, and finally B to F.

The distances for this route are: D to C = 6 km C to A = 10 km A to B = 6 km B to F = 9 km

Total distance = 6 + 10 + 6 + 9 = 31 km.

Therefore, the person covers a distance of 31 km. Option C is correct.

Quantitative Aptitude: 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
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