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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Question : How many numbers are there from 300 to 700 which are divisible by 2, 3, and 7?
Option 1: 7
Option 2: 8
Option 3: 9
Option 4: 10
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
Question : Numbers divisible by 9 between 43 and 481 are:
Option 1: 51
Option 2: 49
Option 3: 48
Option 4: 50
Question : The average of n numbers is 45. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each, then what is the average of the numbers so obtained?
Option 1: 42
Option 2: 43
Option 3: 46
Option 4: 44
Question : The average of four consecutive odd numbers is 40. What is the largest number?
Option 2: 45
Option 3: 43
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