The sum of five consecutive odd number is equal to 175. What is the sum of the second large number and the square of the smallest number among them together?

989
997
979
none of the above

Correct Answer: none of the above

Explanation:

Sum of the five consecutive odd number = N + (N + 2) + (N + 4) + (N + 6) + (N + 8) =175
⇒ 5N + 20 =175
⇒ N = (175 - 20) / 5 = 31
Sum of the second largest and square of smallest one = (31 + 6) + (31)²
= 37 + 961=998

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