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. (2)5+(11)36=x3\frac{{{{\left( 2 \right)}^5} + {{\left( {11} \right)}^3}}}{6} = {x^3} II. 4y3= - (589 ÷ 4) + 5y3

    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: (2)5+(11)36=x3\frac{{{{\left( 2 \right)}^5} + {{\left( {11} \right)}^3}}}{6} = {x^3} ⇒32+13316=x3\Rightarrow \frac{{32 + 1331}}{6} = {x^3} ⇒ x 3 = 1363/6 = 227.167 Equation II: 4y 3 = - (589 ÷ 4) + 5y 3 ⇒ 4y 3 = - (589/4) + 5y 3 ⇒ y 3 = 589/4 = 147.25 Comparing the values of x and y we get, x > y

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