Multiple Choice Questions on LCM of length and width of a window is 60 Their length and width difference is 5 HCF is 12 times les........... for CDS Exam Preparation

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Multiple Choice Questions

LCM of length and width of a window is 60 Their length and width difference is 5 HCF is 12 times les...........

Quantitative Aptitude (CDS) Number System
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    LCM of length and width of a window is 60. Their length and width difference is 5. HCF is 12 times less than LCM. What are the length and width? 

     

    16 and 18
     

    Incorrect Answer

    20 and 15
     

    Correct Answer

    12 and 20
     

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Let length and width is x and y
    x-y=5
    y=x-5
    Product of two number=LCM×HCF
    =x × (x-5) =60×5
    =x^2 - 5x - 300 = 0
    =x^2 - 20x + 15x - 300=0
    (x-20) (x+15) =0
    x=20
    so x=20, y=15

    By: bhavesh kumar singh
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