Question

The sum of 8 consecutive odd numbers is 656. Also, the average of four consecutive even numbers is 87. What is the sum of the smallest odd number and the second largest even number?

• A. 165
• B. 175
• C. 163
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is C 163

Here, average of 8 consecutive odd numbers
$=\frac{656}{8}=82$
$\therefore$ Fourth number = 82 - 1 = 81
First number = 75
Average of 4 even numbers = 87
$\therefore$ Second even number = 87 - 1 = 86
Second largest even number = 88
$\therefore$ Required sum = 75 + 88 = 163