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    Question

    I.  p2 - 19p + 88 = 0      II.

    q2 - 48q + 576 = 0 In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer 
    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 Relation cannot be established Correct Answer Incorrect Answer

    Solution

    I. p2 - 19p + 88 = 0 (p - 11) (p - 8) = 0 p = 11 or 8 II. q2 - 48q + 576 = 0 (q – 24) (q – 24) = 0 q = 24 or 24  Hence,  q > p Alternate Method: if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = p = 11, 8 So, roots of second equation = q = 24 After comparing roots of quadratic eqution we can conclude that   p < q.

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