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    Subject

    Quantitative Aptitude

    Topic

    Simplification

    If I = (3/4) ÷ (5/6), II = 3 ÷ [(4 ÷ 5) ÷ 6], III = [3 ÷ (4 ÷ 5)] ÷ 6, IV = 3 ÷ 4 ÷ (5 ÷ 6), then

    ক)
    I and II are equal
    খ)
    I and III are equal
    গ)
    I and IV are equal
    ঘ)
    All are equal

    Explanation

    I = (3/4) ÷ (5/6) = (3/4) x (6/5) = (9/10) II = 3 ÷ [(4 ÷ 5) ÷ 6] = 3 ÷ {(4/5) x (1/6)} = 3 ÷ (4/30) = 3 x (30/4) = (45/2) III = [3 ÷ (4 ÷ 5)] ÷ 6 = [3 ÷ (4/5)] ÷ 6 = [3 x (5/4)] ÷ 6 = (15/4) x (1/6) = (5/8) IV = 3 ÷ 4 ÷ (5 ÷ 6) = 3 ÷ 4 ÷ (5/6) = (3/4) x (6/5) = (9/10) So, I and IV are equal.

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