GATE 2014 EC (EC2) – Question 8
Eight consecutive odd numbers sum to 656. Four consecutive even numbers average 87. Find the sum of the smallest odd number and second-largest even number.
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Correct answer: 163 to 163
Explanation
Eight consecutive odd numbers have average656/8=82. Their offsets from the mean are−7,−5,…,+7, so the smallest is75. Four consecutive even numbers of mean87are84,86,88,90; the second-largest is88. The required sum is75+88=**163**.