Answer: C. Reduction is a decrease in oxidation state. In equation 1 manganese goes from +2 in \(\text{Mn(OH)}_2\) to +3 in \(\text{Mn}_2\text{O}_3\), so it is oxidised.
In equation 2 it goes from +4 in \(\text{MnO}_2\) to +2 in \(\text{MnCl}_2\) (reduced), and in equation 3 it goes from +7 in \(\text{MnO}_4^{-}\) to +2 in \(\text{Mn}^{2+}\) (reduced). So manganese is reduced in 2 and 3 only.
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