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    Question

    In the following question, read the given statement and compare Quantity I and Quantity II on its basis. (Only quantity is to be considered)

    One root of the equation is 6.

    Where m and n are roots of the equation x2 – 16x + 63 = 0 (m < n)

    Quantity I : m2 + Q

    Quantity II : n2 + 4Q 

    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I ≤ Quantity II Correct Answer Incorrect Answer
    D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    E Quantity I = Quantity II or relationship cannot be established. Correct Answer Incorrect Answer

    Solution

    m and n are roots of the equation x2 – 16x + 63 = 0 x2 – (7 + 9)x + 63 = 0 x = 7, 9 m = 7, n = 9 =>∛ (100 + 243) = Q + 12 => 7 = Q + 12 => Q = -5 m = 7, n = 9, Q = -5 Quantity I : m2 + Q = 72 + (-5) = 44 Quantity II : n2 + 4Q = 92 + (-20) = 81 - 20 = 61 Quantity I < Quantity II

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