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    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 ‘l’ and ‘m’ and mark correct answer. I. (729)1/3l ÷ 423 = 1 II. 6 × (3375)1/3m – (3240000)1/2= 36

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

    Explanation

    We will solve both the equations separately. Equation I: (729) 1/3 l ÷ 423 = 1 ⇒  7291/3423l  =  1\Rightarrow {\rm{\;}}\frac{{{{729}^{1/3}}}}{{423}}l\; = \;1 ⇒ 9l = 423 ⇒ l = 423/9 = 47 Equation II: 6 × (3375) 1/3 m – (3240000) 1/2 = 36 ⇒ 6 × 15m – 1800 = 36 ⇒ 90m = 36 + 1800 ⇒ m = 1836/90 = 20.4 Comparing the values of l and m we get, l > m

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