Y by Adventure10, Mango247
For a certain positive integer
less than
, the decimal equivalent of
is
, a repeating decimal of period
, and the decimal equivalent of
is
, a repeating decimal of period
. In which interval does
lie?
![$\textbf{(A)}\ [1,200] \qquad
\textbf{(B)}\ [201,400] \qquad
\textbf{(C)}\ [401,600] \qquad
\textbf{(D)}\ [601,800] \qquad
\textbf{(E)}\ [801,999] $](//latex.artofproblemsolving.com/5/7/8/578961e8796b09bfacecfbc99a092b7dd78a2905.png)









![$\textbf{(A)}\ [1,200] \qquad
\textbf{(B)}\ [201,400] \qquad
\textbf{(C)}\ [401,600] \qquad
\textbf{(D)}\ [601,800] \qquad
\textbf{(E)}\ [801,999] $](http://latex.artofproblemsolving.com/5/7/8/578961e8796b09bfacecfbc99a092b7dd78a2905.png)
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