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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. 5p2 + 2p – 24 = 0 II. q2 + 3q – 54 = 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, 5p2 + 2p – 24 = 0 5p2 – 10p + 12p – 24 = 0 5p(p – 2) + 12(p – 2) = 0 (5p + 12)(p – 2) = 0 p = -12/5, 2 p = -2.4, 2 From II: q2 + 3q – 54 = 0 q2 – 6q + 9q – 54 = 0 q(q – 6) + 9(q – 6) = 0 (q + 9)(q – 6) = 0 q = -9, 6 So, no relation can be established between p and q.

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