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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. 225l2– 4 = 0 II. (225m)1/2+ 2 = 0

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

    Explanation

    We will solve both the equations separately. Equation I: 225l 2 – 4 = 0 ⇒ (15l) 2 = 4 ⇒ 15l = (4) 1/2 ⇒ l = ± 2/15 Equation II: (225m) 1/2 + 2 = 0 ⇒ (225m) 1/2 = -2 ⇒ m 1/2 = -2/15 This shows that square root of m is negative, which is not possible of real numbers. This means there is no value of m for which it satisfies this equation. Thus, Relation cannot be established.

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