Question

    What is the smallest number of the six numbers?  

    Statement I:  The average of six consecutive odd numbers is 8.   Statement II:  The sum of six consecutive odd numbers is 48.  Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –
    A If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    B If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
    C If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    D If the data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
    E If the data given in both statements I and II together is not sufficient to answer the question. Correct Answer Incorrect Answer

    Solution

    From Statement I:   Let the first number be x.   x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) = 8 x 6   ⇒ 6x + 30 = 48   ⇒  6x = 48 – 30    ⇒ 6x = 18               x = 3   From Statement II:   Let the first number be x.   x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) = 48   ⇒ 6x + 30 = 48   ⇒ 6x = 48 – 30    ⇒ 6x = 18               x = 3

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