In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total marks are 185, the highest score is :
Options:
A . 39
B . 43
C . 41
D . 47
Answer: Option C Let the five successive odd number be, x, x + 2, x + 4, x + 6, x + 8 Then, according to given information, 185 = x + x + 2 + x + 4 + x + 6 + x + 8 $$\eqalign{ & \Leftrightarrow 185 = 5x + 20 \cr & \Leftrightarrow 5x = 185 - 20 \cr & \Leftrightarrow 5x = 165 \cr & \Leftrightarrow x = 33 \cr} $$ Highest number = 33 + 8 = 41
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