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      Question

      Find the value of

      'm'. A set of 2 equations is given below. Read the information carefully and answer the question based on it Equation (I): xΒ² - px + q = 0 has roots 'm' and 5. Equation (II): xΒ² - (p - 2)x + (q - 6) = 0 has roots 'm' and 3.
      A 3 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer
      E 7 Correct Answer Incorrect Answer

      Solution

      From Equation (I): m + 5 = p and m * 5 = q From Equation (II): m + 3 = p - 2 and m * 3 = q – 6 From equation (I) and (II) 5m = q q = 15 Solving for m, we get m = 3 Answer: (a) 3

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