8th Class Mathematics Sample Paper Mathematics Sample Paper - 2

  • question_answer If the division \[N\div 5\] leaves a remainder of 4, what might be the one's digit of N? Suppose that the division \[N\div 5\] leaves a remainder of 4 and the division \[N\div 2\] leaves a remainder of 1. What must be the one's digit of N

    Answer:

         

    If remainder = 4, then the one?s digit of ?N? must be either 4 or 9.
    For
    \[N\div 5,\]
    remainder = 4
                                                                                               
     One?s digit can be 4 or 9.                   ...(i)
    Again, for N ÷ 2, remainder = 1
                                                                                               
     N must be an odd number.
    So, one?s digit of N must be 1, 3, 5, 7 or 9. ...(ii)
    From (i) and (ii), the one?s digit of N must be 9.


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