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    Question

    The average of series 'S2', which consists of 6 consecutive

    even numbers, is 29. The second term of series 'T2', which consists of 5 consecutive odd numbers, is 5 more than the first term of series 'S2'. Find the average of series 'T2'.
    A 29 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 31 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer
    E 33 Correct Answer Incorrect Answer

    Solution

    Let six consecutive even numbers be 'a', (a + 2), (a + 4), (a + 6), (a + 8) and (a + 10), respectively.

    ATQ,

    a + a + 2 + a + 4 + a + 6 + a + 8 + a + 10 = 29 X 6

    Or, 6a = 174 - 30

    So, 'a' = (144 / 6) = 24

    So, 2nd term of series 'T2' = 24 + 5 = 29

    So, series 'T2' = 27, 29, 31, 33, 35

    Therefore, required average = (27 + 29 + 31 + 33 + 35) ÷ 5 = 31

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