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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. 40 x² - 93 x + 54 = 0 II. 30 y² - 61

    y + 30 = 0
    A if x>y Correct Answer Incorrect Answer
    B if x≥y Correct Answer Incorrect Answer
    C if x 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. 40 x² - 93 x + 54 = 0 40 x² - 48 x - 45 x + 54 = 0 8 x(5 x – 6) – 9(5 x – 6) = 0 (8 x – 9) (5 x – 6) = 0 x = 9/8,6/5 II. 30 y² - 61 y + 30 = 0 30 y² - 36 y - 25 y + 30 = 0 6 y(5 y – 6) – 5(5 y – 6) = 0 (6 y – 5) (5 y – 6) = 0 y = 5/6, 6/5 Hence, relationship cannot be established between x and y

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