Correct Answer & Explanation
Option A
Let's decode the relationship step-by-step:
• "My uncle" refers to the girl's uncle.
• "Father of my uncle" means the girl's grandfather (father's father or mother's father).
• "Daughter of the father of my uncle" means the girl's father's sister (aunt) or mother.
• If it's the girl's mother, then the boy is the son of her mother, making him her brother.
• If it's the girl's father's sister (aunt), then the boy is her cousin.
• However, the phrase "the daughter" implies a specific person. If the girl's uncle's father has only one daughter, and that daughter is not the girl's mother, then the boy would be her cousin. But typically in these problems, the most direct relation is implied unless specified. If the 'daughter of the father of my uncle' is the girl's mother, then the boy is her brother.
• Let's assume the most common interpretation: "Father of my uncle" is the girl's paternal grandfather. His daughter would be the girl's father's sister (paternal aunt) OR the girl's mother. If it's the girl's mother, then the boy is her brother.
• If we consider 'uncle' to be the brother of the girl's father, then 'father of my uncle' is the girl's paternal grandfather. The 'daughter of the paternal grandfather' could be the girl's father's sister (her aunt) or the girl's father's mother (her grandmother). This interpretation leads to ambiguity.
• Let's re-evaluate: "Father of my uncle" implies the grandfather. "Daughter of the grandfather" could be the girl's mother or her aunt. If it's the mother, then the boy is her brother. If it's the aunt, then the boy is her cousin.
• Usually, in such problems, the simplest and closest relationship is implied. The most direct interpretation leading to a clear answer is when "the daughter of the father of my uncle" is the girl's mother. In that case, the boy is the son of her mother, making him her brother.