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SSC Quantitative Aptitude LCM & HCF Question Bank LCM and HCF (II)

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

    A) 666

    B) 669

    C) 696

    D) 966

    Correct Answer: C

    Solution :

    [c] Let the numbers be 29 a and 29 b, where a and b are co-primes. Then, \[29a\times 29b=29\times 4147\] \[\therefore \] \[ab=\frac{29\times 4147}{29\times 29}=143\] Co-primes with product 143 are 11 and 13. \[\therefore \]Numbers are \[(29\times 11,\,29\times 13)\] i.e., 319, 377. Their sum \[=(319+377)=696\]


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