Multiple Choice Questions on The numerator of a fraction is 4 less than its denominator If the numerator is decreased by 2 and th........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The numerator of a fraction is 4 less than its denominator If the numerator is decreased by 2 and th...........

Quantitative Aptitude ( CCS) Number System
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    The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

    3/7

    Correct Answer

    4/8

    Incorrect Answer

    2/7

    Incorrect Answer

    3/8

    Incorrect Answer
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    Explanation:

    Let denominator of fraction = x

    Then, numerator = x – 4 
    ∴ Fraction =(x -4)/x
    Now, according to the question, 
    ((x-4)-2)/(x+1)=1/8
    ⇒x-6=(x+1)/8
    ⇒ 8x – 48 = x + 1 
    ⇒ 8x – x = 48 + 1 
    7x = 49 
    ∴ x = 7 
    ∴ Fraction =(7 – 4 )/7=3/7

    By: Amit Kumar
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