Question : What will be the average of the first 8 positive even numbers divisible by 9?
Option 1: 45
Option 2: 72
Option 3: 81
Option 4: 63
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Correct Answer: 81
Solution :
We know that even numbers are divisible by 2.
The sum of the numbers = 9 × 2( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8)
[We know that the sum of the first n natural number = $\frac{n(n+1)}{2}$]
= 9 × 2 × $\frac{8(8+1)}{2}$
= 18 × 36
= 648
Number of numbers = 8
Average = $\frac{\text{Sum of the numbers}}{\text{Number of numbers }}$ = $\frac{648}{8}$ = 81
Hence, the correct answer is 81.
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