The average of 7 consecutive odd number is A. If next 4 and previous 3 odd numbers to these 7 odd numbers are also included, then what is the new average of these 14 consecutive odd numbers?

A. A + 3

B. A + 4

C. A + 2

D. A + 1

Answer: Option D

Solution(By Examveda Team)

Average of 7 consecutive odd numbers = A   (Given)
Then 7 number consecutive odd numbers = - - - A - - -
According to the question,
If next 4 and previous 3 odd numbers are also included the numbers of terms = 7 + 3 + 4 = 14, and effected sum of numbers = 2 × 7 = 14
∴ Increment of average $$ = \frac{{14}}{{14}} = 1$$
∴ Required average = A + 1