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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    Two 3-digit numbers have their HCF 29 and LCM 4147. The sum of the numbers is

    A) 966      

    B)  696     

    C)  669     

    D)  666

    Correct Answer: B

    Solution :

    Let the numbers be 29x and 29y where x and y are coprimes. \[\therefore \]      \[29x\times 29y=29\times 4147\] \[\Rightarrow \] \[xy=\frac{29\times 4147}{29\times 29}=143\]\[\Rightarrow \]\[xy=13\times 11\] \[\therefore \]Number are \[13x=13\times 29=377\]             \[11y=11\times 29=319\] \[\therefore \] Required sum \[=377+319=696\]


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