Step 1 : Understanding the Question
The question explores the haplodiploid mechanism of sex determination in honeybees, where the ploidy level (number of chromosome sets) determines sex.
Step 2 : Key Formulas and approach
Approach based on chromosome counts:
1. Female = 32 (2n).
2. Male = 16 (n).
We check the processes of fertilization and gametogenesis.
Step 3 : Detailed Explanation
Fertilization (A): Fusion of sperm and egg leads to a diploid zygote, which (A) develops into a female. Statement A is true.
Parthenogenesis (B): Males develop from (B) unfertilized eggs, a process called parthenogenesis. Statement B is true.
Ploidy (C): Because they come from haploid eggs, (C) males have 16 chromosomes while females have 32. Statement C is true.
Gametogenesis (D): Since males are already haploid, they (D) produce sperm via mitosis, not meiosis. Statement D is false.
Classification (E): This system is correctly called (E) haplodiploid. Statement E is true.
Step 4 : Final Answer
Statements A, B, C, and E are true. This corresponds to option (A).