The sum of eight consecutive odd numbers is 656. The average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?

GATE 2014 · General Aptitude · Numerical Computation · medium

Answer: The sum of the smallest odd number and second largest even number is 163.

1. Find the eight consecutive odd numbers: 8a + 56 = 656 => 8a = 600 => a = 75. Smallest odd = 75.
2. Find the four consecutive even numbers: b + 3 = 87 => b = 84. Four evens: 84, 86, 88, 90. Second largest = 88.
3. Compute required sum: 75 + 88 = 163.