Honeybees exhibit a fascinating genetic mechanism for sex determination known as the haplodiploid system. This system ensures a specific social structure within the hive based on chromosomal count.
The detailed breakdown of these biological processes is as follows:
• Female Development (Diploid): Females, which include both the fertile Queen and the sterile Workers, are produced through sexual reproduction. When a sperm fertilizes an egg, the resulting zygote has a complete set of 32 chromosomes ($2n = 32$).
• Male Development (Haploid): Males, known as Drones, are produced via arrhenotokous parthenogenesis. This means they develop directly from unfertilized eggs laid by the queen. Consequently, they possess only 16 chromosomes ($n = 16$), which is exactly half the female count.
• Spermatogenesis in Drones: Since males are already haploid ($n$), they cannot undergo a reductional division (meiosis) to produce gametes. Therefore, they produce sperm through mitosis. Statement D is incorrect because it claims they use meiosis.
• Kinship Consequences: Because of this system, drones have no father and cannot have sons, but they do have a grandfather and can have grandsons.
Since statements A, B, C, and E are scientifically accurate and statement D is false, option (a) is the only correct choice.