The sum of five consecutive odd numbers of set p is 435. What is the sum of five consecutive numbers of another set q. Whose largest number is 45 more than the largest number of set p?

• A. 670
• B. 730
• C. 530
• D. 770

Answer: (A)

Let the five consecutive odd numbers of set p be 2n - 3, 2n - 1, 2n + 1, 2n + 3, 2n + 5.Sum of these five numbers= 2n - 3 + 2n - 1 + 2n + 1 + 2n + 3 + 2n + 5= 10n + 5 = 435 => n = 43Largest number of set p = 2(43) + 5 = 91The largest number of set q = 91 + 45 = 136=> The five numbers of set q are 132, 133, 134, 135, 136.Sum of above numbers = 132 + 133 + 134 + 135 + 136 = 670.