Final answer:
The statement that a cell divides to produce two daughter cells that are genetically different is true for meiosis I only, as mitosis produces genetically identical daughter cells.
Step-by-step explanation:
When a cell divides to produce two daughter cells that are genetically different, this statement is true for meiosis I only. In the process of meiosis, there are two nuclear divisions that result in four haploid daughter cells that are genetically distinct. This is due to the behaviors of chromosomes during meiosis such as homologous chromosome pairing, crossing over, and segregation. Conversely, mitosis is a process of cell division where the daughter cells produced are genetically identical to the parent cell, each possessing the same number of chromosome sets as the original cell.