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8th Class Mathematics Playing with Numbers Question Bank Playing with Numbers

  • question_answer
    Given that the number 148101a095 is divisible by 11, where a is single digit number, what are the possible values of a?

    A)  4                                

    B)  1        

    C)  7                                

    D)  9        

    Correct Answer: A

    Solution :

    If 148101a095 is divisible by 11, then \[(1+8+0+a+9)-(4+1+1+0+5)\] is either 0 or a multiple of 11 \[\Rightarrow (a+18)-11\] is either 0 or a multiple of 11 \[\Rightarrow a+7=0\] or a multiple of 11 \[\therefore a+7=11\Rightarrow a=4\]


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