1. **Stating the problem:** We know that dividing 1 000 005 by 12 gives a quotient and a remainder of 9. We want to check if dividing 2 000 010 by 12 gives a remainder of 18. 2. **Recall the division remainder rule:** For any integer $a$ divided by $b$, we have $$a = bq + r$$ where $q$ is the quotient and $r$ is the remainder with $0 \leq r < b$. 3. **Given:** $$1\,000\,005 = 12 \times q + 9$$ for some integer $q$. 4. **Multiply both sides by 2:** $$2 \times 1\,000\,005 = 2 \times (12q + 9)$$ $$2\,000\,010 = 24q + 18$$ 5. **Rewrite the right side:** $$2\,000\,010 = 12 \times (2q) + 18$$ 6. **Check if 18 can be a remainder when dividing by 12:** Since the remainder must satisfy $0 \leq r < 12$, and $18 > 12$, 18 cannot be a remainder. 7. **Conclusion:** The remainder when dividing 2 000 010 by 12 cannot be 18. **Answer:** NIE, because 18 > 12 (option 1).