Let x = abcdabcdabcd. . . . . ., where a, b, c and d are non-zero digits. If x is multiplied by a certain natural number D, then the result is also a natural number. Which of the following can be a possible value of D?

 

  • Option 1)

     

    5990

     

  • Option 2)

     

    9990

     

  • Option 3)

     

    69993

     

  • Option 4)

     

    None\: of\: these

     

  • Option 5)

     

    99999

     

Answers (1)

 let where a b c and d are non zero digits if x is multiplied by a certain natural number d then the result is also a natural number so, the possible value is:

        x=.abcdabcd…..

           abcd/9999

    Hence \: x\: must \: be\: multiplied\: by\: 9999

         9999*7=69993

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