Step 1: \( KMnO_4 \) and \( K_2Cr_2O_7 \), potent oxidizing agents, convert \( I^- \) to \( I_2 \) and \( S_2O_3^{2-} \) to \( SO_4^{2-} \).
Step 2: While both reagents oxidize \( I^- \) to \( IO_3^- \), only \( KMnO_4 \) oxidizes \( Fe^{2+} \); \( K_2Cr_2O_7 \) does not.
Final Conclusion:
The correct answer is Option (1), A, D, and E.