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The sum of five consecutive odd number is equal to 175. What is the sum of the second largest number and the square of the smallest number amongst them together?
A) 989
B) 997
C) 979
D) 998
Correct answer:
D) 998
Description for Correct answer:
Sum of five consecutive odd numbers
= x + x + 2 + x + 4 + x + 6 + x + 8 = 175
= 5x + 20 = 175
= \( \Large x = \frac{175 - 20}{5} = 31 \)
Sum of the second largest and square smallest one =(31+ 6) + (31)2 = 37 + 961 = 998
= \( \Large \left(31 + 6\right) + \left(31\right)^{2} \)
= 37 + 961 = 998
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