Step 1: Know the role of MnO2 here.
In both statements \(MnO_2\) is heated with a sodium halide and concentrated \(H_2SO_4\). \(MnO_2\) acts as the oxidising agent, so it takes electrons and is itself reduced.
Step 2: Track manganese in general.
In \(MnO_2\) manganese is \(+4\). After reaction it ends up in \(MnSO_4\), where manganese is \(+2\). Going from \(+4\) to \(+2\) means manganese is reduced in either case.
Step 3: Analyse Statement-I (NaCl).
\[ 2NaCl + MnO_2 + 3H_2SO_4 \rightarrow 2NaHSO_4 + MnSO_4 + Cl_2 + 2H_2O \] Here \(Cl^-\) is oxidised to \(Cl_2\), while Mn drops from \(+4\) to \(+2\), so Mn is reduced, not oxidised. Statement-I claims oxidation of Mn, so it is incorrect.
Step 4: Analyse Statement-II (NaI).
\[ 2NaI + MnO_2 + 3H_2SO_4 \rightarrow 2NaHSO_4 + MnSO_4 + I_2 + 2H_2O \] Again Mn falls from \(+4\) to \(+2\), so Mn is reduced. Statement-II claims reduction of Mn, which is correct.
Step 5: Compare the two verdicts.
Statement-I is wrong and Statement-II is right.
Step 6: Pick the option.
This matches option 1.
\[ \boxed{\text{Statement-I is incorrect but Statement-II is correct}} \]