Subject

    Quantitative Aptitude

    Topic

    Algebra

    Direction:In the following questions two equations numbered I and II are given. You have to solve both the equations and find relation between x and y. I. 121x2– 17 = 8 II. 13y+9=6413y + \sqrt 9 = \sqrt {64}

    ক)
    if x > y
    খ)
    if x ≥ y
    গ)
    if x < y
    ঘ)
    if x ≤ y
    ঙ)
    if x = y or the relationship cannot be established.

    Explanation

    According to the given equations, I. 121x 2 – 17 = 8 ⇒ 121x 2 = 8 + 17 = 25 ⇒ x = 25121\sqrt {\frac{{25}}{{121}}} ∴ x = ± 5/11 II. 13y+9=6413y + \sqrt 9 = \sqrt {64} ⇒ 13y + 3 = 8 ⇒ 13y = 8 – 3 = 5 ∴ y = 5/13 ∵ The value of y is greater than -5/11 but less than 5/11 Hence, no relationship can be established

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