Step 1: Understanding the Concept:
Differentiating Enterobacteriaceae and related Gram-negative rods relies on standard biochemical profiles, including the IMViC series (Indole, Methyl Red, Voges-Proskauer, Citrate), hydrogen sulfide ($H_2S$) production, and urease activity.
Step 2: Detailed Explanation:
Let us match each microorganism in List I with its signature characteristic in List II:
- A. Escherichia coli: This species is a classic fecal coliform that displays an IMViC profile of positive Indole, positive Methyl Red, negative Voges-Proskauer, and negative Citrate utilization, represented as ++-- (III).
- B. Enterobacter aerogenes: This environmental coliform possesses a metabolic profile opposite to E. coli, showing negative Indole, negative Methyl Red, positive Voges-Proskauer, and positive Citrate utilization, represented as --++ (IV).
- C. Salmonella: Most Salmonella species are known for producing hydrogen sulfide ($H_2S$) gas from sulfur-containing amino acids, resulting in black precipitates on triple sugar iron (TSI) agar, matching with H2S production (II).
- D. Proteus: Proteus species are highly distinct because they produce a rapid, active urease enzyme that hydrolyzes urea to ammonia, turning urea agar bright pink, matching with Urease enzyme activity (I).
Combining these matches gives us: A-III, B-IV, C-II, D-I.
Step 3: Final Answer
The correct option is (C).