Multiple Choice Questions on If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9 ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9 ...........

Quantitative Aptitude ( CCS) Number System
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    If the difference between the reciprocal of a positive proper fraction and the fraction itself be 9/20, then the fraction is

    3/5

    Incorrect Answer

    3/10

    Incorrect Answer

    4/5

    Correct Answer

    5/7

    Incorrect Answer
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    Explanation:

    Let x be the required fraction then acc to Q we have,
    1/x - x = 9/20
    So, (1-x^2)/x = 9/20
    20 - 20x^2 =9x
    20x^2 + 9x - 20 = 0
    20x^2 - 25x-16x - 20 = 0
    5x(4x+5)-4(4x+5) = 0
    (5x-4) (4x+5) = 0
    Hence,x = 4/5

    By: Amit Kumar
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