Step 1: Understanding the Concept:
Comparative veterinary cytogenetics: haploid chromosome complements ($n = 2n/2$) across domestic mammalian and avian species.
Key Formula or Approach:
\[ \text{Cat } (n=19) < \text{Cattle } (n=30) < \text{Horse } (n=32) < \text{Dog/Chicken } (n=39) \]
Step 2: Detailed Explanation:
Diploid ($2n$) and haploid ($n$) chromosome numbers:
1. A. Cat (Felis catus): $2n = 38 \implies \mathbf{n = 19}$.
2. B. Cattle (Bos taurus indicus): $2n = 60 \implies \mathbf{n = 30}$.
3. E. Horse (Equus caballus): $2n = 64 \implies \mathbf{n = 32}$.
4. C. Chicken D. Dog:
- Dog (Canis familiaris): $2n = 78 \implies \mathbf{n = 39}$.
- Chicken (Gallus gallus): $2n = 78 \implies \mathbf{n = 39}$.
Arranging in increasing order: Cat (19) $<$ Cattle (30) $<$ Horse (32) $<$ Chicken (39) $\le$ Dog (39) (Sequence: A $<$ B $<$ E $<$ C $<$ D).
Step 3: Final Answer:
Thus, the correct increasing order is A < B < E < C < D, corresponding to option (D).