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    Question

    I. x3 = 1728 II. y2 – 15y

    + 56 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer:
    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 x = y or the relationship cannot be established. Correct Answer Incorrect Answer

    Solution

    I. x3 = 1728 => x = 12 II. y2 – 15y + 56 = 0 => y2 – 7y – 8y + 56 = 0 => y(y – 7) – 8(y – 7) = 0 => (y – 7) (y – 8) = 0 => y = 7, 8 Hence, x > y.

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