Subject

    Quantitative Aptitude

    Topic

    Number

    The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

    ক)
    3/5
    খ)
    3/10
    গ)
    4/5
    ঘ)
    5/4

    Explanation

    Let the required fraction be x. Then, (1 / x )- x = 9/20 1 - x^(2) / x = 9 / 20  =>  20 - 20 * x^(2) = 9 * x. 20 * x^(2) + 9 *x - 20 = 0. => (4 * x + 5) (5 * x - 4) = 0. => x = 4 / 5.

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