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

  • question_answer
    Find the greatest number of 3 digits which when divided by 6, 9, 12 leaves 3 as remainder in each case.

    A) 975

    B) 996

    C) 903

    D) 939

    Correct Answer: A

    Solution :

    [a] Greatest number of 3 digits = 999 LCM of 6, 9, 12 \[\therefore \] Required LCM \[=2\times 3\times 3\times 2=36\] Now, \[\frac{999}{36}=27\frac{27}{36}\] \[\therefore \] Remainder \[=27\] \[\therefore \] Required number \[=(999-27+3)=975\]


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