Step 1: Understanding the Concept
Each scientist is linked with one major idea about enzyme action.
Step 2: Matching
(A) Eduard Buchner showed that a cell-free yeast extract ferments sugar, so A matches IV.
(B) Emil Fischer proposed the lock and key model, so B matches I.
(C) Koshland proposed the induced fit model, so C matches II.
(D) Michaelis and Menten gave the \(K_m\) and \(V_{max}\) concept, so D matches III.
Step 3: Conclusion
The matching is A-IV, B-I, C-II, D-III.
Final Answer:
The correct matching is A-IV, B-I, C-II, D-III.
\[ \boxed{\text{(A) }\text{(A) - (IV), (B) - (I), (C) - (II), (D) - (III)}} \]