UPSC PYQPrelims 2025

Civil Services Examination · Question 9

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. 72
  2. 144
  3. 216
  4. Cannot be determined
Show answer & explanation

Answer: (D) Cannot be determined

Explanation

Y's rate is N/18; at 1.5 times that rate Y reaches N in 12 overs for any N. The data are consistent for every N, so N cannot be determined. (Answer as per the official UPSC answer key.)