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. 9x – 15.45 = 54.55 + 4x II. y+155−36=49\sqrt {y + 155} - \sqrt {36} = \sqrt {49}

    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: 9x – 15.45 = 54.55 + 4x ⇒ 9x – 4x = 70 ⇒ 5x = 70 ⇒ x = 14 Equation II: y+155−36=49⇒y+155−6=7⇒y+155=13\begin{array}{l} \sqrt {y + 155} - \sqrt {36} = \sqrt {49} \\ \Rightarrow \sqrt {y + 155} - 6 = 7\\ \Rightarrow \sqrt {y + 155} = 13 \end{array} On squaring both sides, y + 155 = 169 ⇒ y = 169 – 155 ⇒ y = 14 Comparing the values of x and y, we get, x = y

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