The average of 17 consecutive natural numbers is 30. 5 previous consecutive natural numbers to these 17 natural numbers are also included. What is the smallest number among these 22 numbers?

Correct option is D

Given:
Average of 17 consecutive natural numbers = 30
5 previous consecutive natural numbers are added.
Formula Used:
In a sequence of consecutive natural numbers, the average is the middle number.
Solution:
For 17 consecutive natural numbers, the average is the 9th number. Thus, the 9th number is 30.
The smallest number (1st number) of this original group is:
30 - 8 = 22
If 5 previous consecutive natural numbers are added to the sequence, the new smallest number will be 5 less than 22.
New smallest number = 22 - 5
New smallest number = 17
Final Answer
So the correct answer is (d)