Subject

    Quantitative Aptitude

    Topic

    Algebra

    In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer. I. x2– 19x + 84 = 0 II. y2– 25y + 126 = 0

    ক)
    If x > y
    খ)
    If x ≥ y
    গ)
    If x < y
    ঘ)
    If x ≤ y
    ঙ)
    If x = y or the relation cannot be determined

    Explanation

    We will solve both the equations separately. Equation I: x 2 – 19x + 84 = 0 ⇒ x 2 – 12x – 7x + 84 = 0 ⇒ (x – 12) (x – 7) = 0 ⇒ x = 12 or x = 7 Equation II: y 2 – 25y + 126 = 0 ⇒ y 2 – 18y – 7y + 126 = 0 ⇒ (y – 18) (y – 7) = 0 ⇒ y = 18 or y = 7 So, the relation cannot be determined

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