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1983 AMC 12 Question 16

AMC12 · 1983 AMC 12

Question 16

Let $$
\begin{aligned} x&=0.123456789101112\\ &\phantom{={}}\ldots998999, \end{aligned}
$$ where the digits are obtained by writing the integers $1$ through $999$ in order. The $1983$rd digit to the right of the decimal point is
  1. $2$
  2. $3$
  3. $5$
  4. $7$
  5. $8$