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      Question

      A set ‘X’ includes four back-to-back even numbers,

      and set ‘Y’ holds four successive odd numbers. The mean of the second elements from both sets is 38.5. Determine the total of the last numbers in both sets.
      A 42 Correct Answer Incorrect Answer
      B 75 Correct Answer Incorrect Answer
      C 85 Correct Answer Incorrect Answer
      D 51 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Set X: {a, (a + 2), (a + 4), (a + 6)} Set Y: {b, (b + 2), (b + 4), (b + 6)} Now, (a + 2 + b + 2) ÷ 2 = 38.5 Or, a + b + 4 = 77 Or, a + b = 73 Required sum = a + 6 + b + 6 = 73 + 12 = 85

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