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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. 22x² - 97x + 105 = 0 II. 35y² - 61y + 24 =

    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 relationship between x and y cannot be established Correct Answer Incorrect Answer

    Solution

    I. 22x² - 97x + 105 = 0 22x² - 55x - 42 x + 105 = 0 11 x(2 x – 5) – 21(2 x – 5) = 0 (11 x – 21) (2 x – 5) = 0 x = 21/11, 5/2 II. 35y² - 61y + 24 = 0 35y² - 40y - 21 y + 24 = 0  5 y (7 y – 8) – 3(7y – 8) = 0 (5 y – 3) (7 y – 8) = 0 y = 3/5, 8/7 Hence x > y.

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