A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A? Choose the correct choice.
A) 165  B) 175  C) 195  D) 205  E) 215
Average of largest 5 = -185/5 =-37   So the largest numbers are -41, -39, -37, -35, -33   Now if we consider smallest 5, we have to eliminate last 2 numbers, which are -35 and -33   Notice here that the numbers are equally spaced.   So the average of smallest number will just shift 2 place to the left.   Avg= -41   Therefore, total = -41*5= -205   Answer:205
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A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?