Civil Services Examination · Question 76
Let p + q = 10, where p, q are integers. Value-I = Maximum value of p × q when p, q are positive integers. Value-II = Maximum value of p × q when p ≥ -6, q ≥ -4. Which one of the following is correct?
Show answer & explanation
Answer: (C) Value-I = Value-II
Explanation
In both cases the maximum is at p = q = 5, giving 25. (Answer as per the official UPSC answer key.)