Multiple Choice Questions on With reference to a number greater than one the difference between itself and its reciprocal is 25 o........... for SSC CHSL Preparation

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Multiple Choice Questions

With reference to a number greater than one the difference between itself and its reciprocal is 25 o...........

Quantitative Aptitude (CHSL) Percentage
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    With reference to a number greater than one, the difference between itself and its reciprocal is 25% of the sum of itself and its reciprocal. By how much percentage (correct one decimal place) is the fourth power of the number greater than its square?

    62.5

    Incorrect Answer

    66.7

    Correct Answer

    64.5

    Incorrect Answer

    57.8

    Incorrect Answer
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    Explanation:

    Let say number = N

    then reciprocal = 1/N

    N - 1/N  = 25 % of ( N + 1/N)

    => (N - 1/N) = (1/4)(N + 1/N)

    => 4N - 4/N = N + 1/N

    => 3N = 5/N

    => N² = 5/3

    => N = √(5/3)

    N4 = (N²)² = (5/3)² = 25/9

    N² = 5/3

    N4 - N²  = 25/9 - 5/3  = 10/9

    %  = (10/9)/(5/3)  * 100

    = 200/3 %

    = 66.67 %

    By: Himani Bihagra
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