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

  • question_answer
    If the sum of digits of any number, lying between 100 and 1000, is subtracted from the number the difference is always divisible by

    A) 12

    B) 9

    C)  6                                

    D)  2

    Correct Answer: B

    Solution :

    Any number between 100 and 1000, may be written as \[100\,\,m+10\,\,n+k\] where, \[0<m\le 9,\]\[0<n\le 9\]and \[0<k\le 9\] \[\therefore \]\[(100\,\,m+10\,\,n+k)-(m+n+k)=99\,\,m+9\,\,n\] \[=9\,\,(11\,\,m+n)=\]multiple 9


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