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    Question

    In the question, two equations I and II are given. You

    have to solve both the equations to establish the correct relation between 'p' and 'q' and choose the correct option. I. p2 + 23p + 112 = 0 II. 4q2 + 24q + 35 = 0 
    A p > q Correct Answer Incorrect Answer
    B p < q Correct Answer Incorrect Answer
    C p ≥ q Correct Answer Incorrect Answer
    D p ≤ q Correct Answer Incorrect Answer
    E p = q or relationship between p and q can’t be established. Correct Answer Incorrect Answer

    Solution

    ATQ, From I: p2 + 23p + 112 = 0 p2 + 16p + 7p + 112 = 0 p(p + 16) + 7(p + 16) = 0 (p + 16)(p + 7) = 0 p = -16, -7 From II: 4q2 + 24q + 35 = 0 4q2 + 10q + 14q + 35 = 0 2q(2q + 5) + 7(2q + 5) = 0 (2q + 5)(2q + 7) = 0 q = -5/2, -7/2 q = -2.5, -3.5 Therefore,  p < q

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