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– 10x + 21 = 0 II. y2– 16y + 63 = 0

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

    Explanation

    We will solve both the equations separately. Equation I: x 2 – 10x + 21 = 0 ⇒ x 2 – 7x – 3x + 21 = 0 ⇒ (x – 3) (x – 7) = 0 ⇒ x = 3 or x = 7 Equation II: y 2 – 16y + 63 = 0 ⇒ y 2 – 9y – 7y + 63 = 0 ⇒ (y – 7) (y – 9) = 0 ⇒ y = 7 y = 9 Comparing the values of x and y we get, x ≤ y

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