Consider a set of 11 numbers: Value-I = Minimum value of the average of the numbers of the set when they are…
Consider a set of 11 numbers:
Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers $\ge -5$.
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?
Value-I < Value-II
Value-II < Value-I
Value-I = Value-II
Cannot be determined due to insufficient data
Solution
Value-I: 11 consecutive integers $\ge-5$; the smallest such set is $-5,-4,\ldots,5$, whose average is the middle term $0$. So Value-I = 0. Value-II: 11 consecutive non-negative integers; the smallest such set is $0,1,2,\ldots,10$, and its product is 0 (because it includes 0). So Value-II = 0. Hence Value-I = Value-II = 0. Answer (c).