Question : What is the average of the first six (positive) odd numbers each of which is divisible by 7?
Option 1: 42
Option 2: 43
Option 3: 47
Option 4: 49
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Correct Answer: 42
Solution : The first six positive odd numbers that are divisible by 7 are 7, 21, 35, 49, 63 and 77. So, the average of these six numbers is: $\text{Average}=\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}=\frac{7 + 21 + 35 + 49 + 63 + 77}{6} = \frac{252}{6} = 42$ Hence, the correct answer is 42.
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Question : The average of 7 consecutive odd numbers is A. If the next 3 and the previous 2 odd numbers to these 7 odd numbers are also included, what is the new average of these 12 consecutive odd numbers?
Option 1: A + 1
Option 2: A – 2
Option 3: A + 2
Option 4: A + 3
Question : The average of 10 numbers is 42. If each number is increased by 5, then what will be the new average?
Option 2: 47
Option 3: 92
Option 4: 57
Question : The average of 20 numbers is 30 and that of the other 30 numbers is 50. What is the average of all the numbers?
Option 3: 44
Option 4: 45
Question : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
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