Question : What is the average of all numbers between 100 and 200 which is divisible by 13?
Option 1: 147.5
Option 2: 145.5
Option 3: 143.5
Option 4: 149.5
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Correct Answer: 149.5
Solution :
Numbers between 100 and 200 which are divisible by 13 are 104, 117, 130, 143, 156, 169, 182, 195
This forms an arithmetic progression, So the average = $\frac{104+195}{2}$ = 149.5 [Using arithmetic mean = $\frac{\text{First term + Last Term}}{2}$]
Hence, the correct answer is 149.5.
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