Step 1: Understanding the Compound.
In \( \text{MnO}_2 \), oxygen has an oxidation state of -2. Since the compound is neutral, the oxidation state of manganese must balance the total charge of oxygen.
\[
\text{Oxidation state of Mn} = +4
\]
Thus, the oxidation state of Mn in \( \text{MnO}_2 \) is +4.
Step 2: Conclusion.
The correct answer is (C) +4.