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UPSC PYQPrelims 2025

Civil Services Examination · Question 77

Consider a set of 11 numbers: Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ -5. Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers. Which one of the following is correct?

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

Answer: (C) Value-I = Value-II

Explanation

Value-I: -5 to 5 has average 0. Value-II: 0 to 10 has product 0. They are equal. (Answer as per the official UPSC answer key.)