Step 1: Basic principle.
A metal can reduce another metal oxide if the Gibbs free energy of formation of its oxide is more negative than that of the other oxide.
Step 2: Arrange oxides by stability (more negative means more stable).
TiO2: -737 kJ (most stable)
SiO2: -728 kJ
VO: -712 kJ
MnO: -624 kJ (least stable)
Step 3: Check each option.
(A) Si reducing TiO2: TiO2 is more stable than SiO2, so Si can reduce TiO2. Correct.
(B) Mn reducing VO: MnO is less stable than VO, so Mn cannot reduce VO. Wrong.
(C) Ti reducing MnO: TiO2 is more stable than MnO, so Ti can reduce MnO. Correct.
(D) V reducing SiO2: VO is less stable than SiO2, so V cannot reduce SiO2. Wrong.
Step 4: Conclusion.
Correct statements are (A) and (C).
\[
\boxed{\text{Correct: (A) and (C)}}
\]