Step 1: Understanding the Concept:
Kandler's physiological classification of genus Lactobacillus: Group I obligately homofermentative lactobacilli exclusively ferment hexoses via the EMP pathway without pentose fermentation and exhibit high thermophilic growth temperatures ($45^\circ ext{C}$).
Key Formula or Approach:
\[ \text{Group I (Obligate Homofermentative): } \text{Hexose} \xrightarrow{\text{EMP Glycolysis}} > 90\% \text{ Lactic Acid (NO Pentose Fermentation, Grow at } 45^\circ\text{C)} \]
Step 2: Detailed Explanation:
In the taxonomy and physiological classification of genus Lactobacillus (Kandler and Weiss):
1. Group I: Obligate Homofermentative Lactobacilli (e.g., Lactobacillus delbrueckii, L. helveticus, L. acidophilus):
- A. True: Possess fructose-1,6-bisphosphate aldolase and exclusively ferment hexose sugars to lactic acid ($> 90\%$) via the Embden-Meyerhof-Parnas (EMP) pathway without producing gas ($\text{CO}_2$).
- C. False: Lack phosphoketolase and cannot ferment pentose sugars.
- D. True: They are thermophilic and grow at higher temperatures ($45^\circ ext{C}$) than the other two groups (facultative and obligate heterofermenters).
2. (L. casei is facultatively heterofermentative [Group II]).
Thus, statements A and D only are true.
Step 3: Final Answer:
Hence, statements A and D only are true, corresponding to option (C).