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      Question

      There are two sets: A has four consecutive even integers

      and B has four consecutive odd integers. The average of the third term of A and the third term of B is 90.5. Find the sum of the last terms of both sets.
      A 110 Correct Answer Incorrect Answer
      B 141 Correct Answer Incorrect Answer
      C 163 Correct Answer Incorrect Answer
      D 185 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Set A: {p, (p + 2), (p + 4), (p + 6)} Set B: {q, (q + 2), (q + 4), (q + 6)} ((p + 4) + (q + 4)) ÷ 2 = 90.5 Or, (p + q + 8) ÷ 2 = 90.5 Or, p + q + 8 = 181 Or, p + q = 173 Required sum = (p + 6) + (q + 6) = p + q + 12 = 173 + 12 = 185

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