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SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    Two numbers, both greater than 29, have 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 number be 29x and 29 y respectively where x and y are prime to each other. \[\therefore \] LCM of 29x and y = 29xy Now,     29xy = 4147  \[\therefore \]      \[xy=\frac{4147}{29}=143\] Thus     \[xy=11\times 13\]     Numbers are \[29\times 11=319\]and \[29\times 13=377\] \[\therefore \]Required sum \[=377+319=696\]


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