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    Question

    Direction: In each of the following question, two equations are given. You have to solve both the equations to find the relation between x and y.

    I:  x2 - 33x + 242 = 0 II: 

    y2 - 4y - 77 = 0
    A If x < y Correct Answer Incorrect Answer
    B If x > y Correct Answer Incorrect Answer
    C If x ≤ y Correct Answer Incorrect Answer
    D If x ≥ y Correct Answer Incorrect Answer
    E If relationship between x and y cannot be determined Correct Answer Incorrect Answer

    Solution

    From I => x2 - 33x + 242 = 0 => x2 - 22x - 11x + 242 = 0 =>x(x – 22) -11(x – 22) = 0 => (x – 11) (x – 22) = 0 => x = 11, 22 From II => y2 - 4y - 77 = 0 => y2 – 11y + 7y - 77 = 0 =>y(y - 11) +7(y – 11) = 0 => (y + 7) (y – 11) = 0 => y = -7, 11 Hence, x ≥ y

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