Step 1: Analysis of MHC-I
MHC-I molecules are indeed found on almost all nucleated cells in the body to present internal antigens to CD8+ T cells (Statement A is true).
Step 2: Analysis of MHC-II
MHC-II is expressed by professional APCs (dendritic cells, macrophages, B cells) but they present to Helper T cells (CD4+), not cytotoxic T cells (Statement B is false).
Step 3: T-cell Recognition
Helper T cells recognize antigens only on MHC-II, while Cytotoxic T cells recognize MHC-I (Statement C is true).
Step 4: Conclusion
Statements A and C are correct.
Final Answer: (B)