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      Question

      The average of series 'S8', which consists of 6 consecutive

      even numbers, is 35. The second term of series 'T8', which consists of 5 consecutive odd numbers, is 5 more than the first term of series 'S8'. Find the average of series 'T8'.
      A 35 Correct Answer Incorrect Answer
      B 36 Correct Answer Incorrect Answer
      C 37 Correct Answer Incorrect Answer
      D 38 Correct Answer Incorrect Answer
      E 39 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 = 35 X 6

      Or, 6a = 210 - 30

      So, 'a' = (180 / 6) = 30

      So, 2nd term of series 'T8' = 30 + 5 = 35

      So, series 'T8' = 33, 35, 37, 39, 41

      Therefore, required average = (33 + 35 + 37 + 39 + 41) ÷ 5 = 37

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