Final answer:
The question touches on animal behaviors rather than biology. Cats and dogs have different immune system receptors that prevent them from catching colds from humans. The anecdote about a stray cat is not relevant to the biological content.
Step-by-step explanation:
The student's question seems to be rooted in the common stereotype that all dogs hate cats, and all cats hate mice, ultimately suggesting that all dogs would, in turn, hate mice. However, this question mixes behavioral assumptions with biological statements. While animals might have adversarial relationships, the question presented does not reflect accurate biological concepts.
In terms of biology and disease transmission, it is important to note that cats and dogs have different immune system components, such as different proteins and receptors, compared to humans. This means that the virus which causes colds in humans is unlikely to affect dogs and cats because they don't have the receptors required for the virus to enter their cells and replicate. This information can be beneficial in understanding how diseases spread among different species and the interspecies barriers to diseases that primarily affect humans.
The anecdote about a stray cat does not directly relate to the original statement about dogs, cats, and mice, nor to the biology of immune systems and viruses. It serves merely as an example of human-animal interaction.