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SSC Sample Paper SSC CGL - Sample Paper-3

  • question_answer
    The LCM of numbers is 20 time their HCF. The sum of HCF and LCM is 2520. If one of the numbers is 480, the other number is

    A)  400                             

    B)  480

    C)  520                             

    D)  600

    Correct Answer: D

    Solution :

    Let the HCF be H. \[\therefore \]      \[LCM=20\,\,H\] Then,    \[H+20\,H=2520\] \[\Rightarrow \]   \[21\,H=2520\] \[\Rightarrow \]   \[H=\frac{2520}{21}=120\] \[\therefore \]      \[LCM=20\,H=20\times 120\]                         \[=2400\] As, First number \[\times \] Second number             \[=LCM\times HCF\] \[\Rightarrow \]\[480\times \text{Second number}\]             \[=2400\times 120\] \[\Rightarrow \] Second number \[~=\frac{2400\times 120}{180}=600\]


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