Question : What is the average of all numbers between 8 and 74 which are divisible by 7?
Option 1: 40
Option 2: 41
Option 3: 42
Option 4: 43
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Correct Answer: 42
Solution :
The first number to be divisible by 7 in this range = 14
The last number to be divisible by 7 in this range = 70
This forms an arithmetic progression, So the average = $\frac{70+14}{2}$ = 42 [Using arithmetic mean = $\frac{\text{First term + Last Term}}{2}$]
Hence, the correct answer is 42.
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