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UPSC PYQPrelims 2025

Civil Services Examination · Question 75

In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to the ratio of number of runs scored by Y to number of runs scored by Z. Value-I = Runs scored by X Value-II = Runs scored by Y Value-III = Runs scored by Z Which one of the following is correct?

  1. Value-I < Value-II < Value-III
  2. Value-III < Value-II < Value-I
  3. Value-I < Value-III < Value-II
  4. Cannot be determined due to insufficient data
Show answer & explanation

Answer: (D) Cannot be determined due to insufficient data

Explanation

X, Y, Z are in geometric progression summing to 37: both 9, 12, 16 and 16, 12, 9 work, so the order is undetermined. (Answer as per the official UPSC answer key.)