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SEAMO 2027 - Paper F - SET 09 - Self-study Question 11

SEAMO · SEAMO 2027 - Paper F - SET 09 - Self-study

Question 11

Find the smallest natural number $n$ for which
$$\left\lfloor\frac{10^n}{x}\right\rfloor=1989$$
has an integer solution $x$. Here $\lfloor t\rfloor$ is the greatest integer at most $t$.
  1. 7
  2. 8
  3. 9
  4. 10
  5. None of the above