Find the average of 8 consecutive even numbers.

Statement I: The average of the first 3 even numbers is a and the average of the last 3 even numbers is b

Statement II: The difference between the sum of the last 4 even numbers and the sum of the first 4 even numbers is 32

Statement III: The average of the 1st and the 5th even number is 12.

1
Data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
2
Data in statement III alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
3

Data either in statement II alone or in statement III alone are sufficient to answer the question

4

Data given in statements I, II, and III together are not sufficient to answer the question

5
Data in statements I, II, and III together are necessary to answer the question.

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