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    Question

    The average of series 'S1', which consists of 6 consecutive

    even numbers, is 25. The second term of series 'T1', which consists of 5 consecutive odd numbers, is 5 more than the first term of series 'S1'. Find the average of series 'T1'.
    A 25 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer
    E 29 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 = 25 X 6

    Or, 6a = 150 - 30

    So, 'a' = (120 / 6) = 20

    So, 2nd term of series 'T1' = 20 + 5 = 25

    So, series 'T1' = 23, 25, 27, 29, 31

    Therefore, required average = (23 + 25 + 27 + 29 + 31) ÷ 5 = 27

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