Sarkari RiseLogin
UPSC CSE 2025 · PYQ · Ratio / Averages · medium

Team X scored a total of N runs in 20 overs. Team Y tied the score in 10% less overs. Had team Y's average run rate (runs per over) been 50% higher, the scores would have been tied in 12 overs. How many runs were scored by team X?

  1. A.72
  2. B.144
  3. C.216
  4. D.Cannot be determined✓ Correct

Explanation

Team Y ties N runs in 18 overs (10% less than 20). So Y's run rate = N/18. If Y's run rate were 50% higher, it becomes (N/18)×1.5 = N/12, and at this rate Y would score N runs in 12 overs — which is automatically true regardless of N. The condition is self-consistent for any value of N, so the actual number of runs cannot be determined from the given information.
💡 Practice unlimited UPSC CSE PYQs + AI-tracked progress on each topic. Sign up free →

Want more UPSC CSE practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Ratio / Averages practice