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    Question

    A set of 2 equations is given below. Read the information carefully and answer the question based on it Equation (I): x² - px + q = 0 has roots 'm' and 5. Equation (II): x² - (p - 2)x + (q - 6) = 0 has roots 'm' and 3.

    Find the value of 'm'.

    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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