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    Question

    In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.

    I. x² - 33x + 270 = 0

    II. y² - 41y + 414 = 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 x = y or the relationship cannot be established. Correct Answer Incorrect Answer

    Solution

    I. x² - 33x + 270 = 0 x² - 18x - 15 x + 270 = 0 x (x – 18) - 15 (x – 18) = 0 (x – 18) (x – 15) = 0 x = 18, 15 II. y² - 41y + 414 = 0 y² - 18y - 23 y + 414 = 0 y (y – 18) – 23 (y - 18) = 0 y = 18, 23 Hence, x ≤y

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