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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?
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- 989
- 997
- 979
- none of the above
Correct Option: D
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