Introducing a girl, Anjali says, "She is the daughter of the only sister of the son of my mother." How is the girl related to Anjali?

Introduction / Context:

This question is structurally identical to many classic blood-relation problems where the speaker uses a long phrase like "only sister of the son of my mother". You must decode this phrase carefully, step by step, and then see how the final person (the girl) is connected to Anjali. It tests your ability to simplify nested family descriptions into a direct relationship.

Given Data / Assumptions:

• Anjali is speaking.
• She introduces a girl and says: "She is the daughter of the only sister of the son of my mother."
• "My mother" refers to Anjali's own mother.
• The son of Anjali's mother is Anjali's brother.
• The "only sister" of that son must be a female sibling. Since Anjali is female and the speaker, she is the most natural candidate.
• The girl is the daughter of that only sister.
• We must find the girl's relation to Anjali.

Concept / Approach:

As in similar problems, the phrase "only sister of the son of my mother" ends up pointing back to the speaker herself. Once we realize that Anjali is both the daughter of her mother and the only sister of her mother's son, we can replace the whole phrase with "me". The girl then becomes simply "my daughter". Therefore, Anjali is the mother of the girl, and the girl is Anjali's daughter.

Step-by-Step Solution:

Verification / Alternative check:

To check, imagine a concrete family. Anjali's mother has two children: a son (Raj) and a daughter (Anjali). Raj's only sister is Anjali. If Anjali has a daughter, say Ria, then Anjali can correctly describe Ria as "the daughter of the only sister of the son of my mother". That matches the wording exactly and confirms that the girl is indeed Anjali's daughter.

Why Other Options Are Wrong:

"Cousin" would imply the girl is the child of Anjali's aunt or uncle, not of Anjali herself.

"Niece" would be correct only if the girl were the daughter of Anjali's sibling. In this case, she is the daughter of Anjali.

"Sister-in-law" is an in-law relation that does not involve a parent-child connection; it is irrelevant to the given description.

Common Pitfalls:

A typical error is to stop simplifying too early and assume that the girl is a niece (daughter of the son of the mother). However, the phrase specifically says "daughter of the only sister of the son of my mother", which introduces an extra layer: the child is of the sister, not of the son. Carefully following each possessive phrase and identifying whether it points to a sibling or to the speaker helps avoid this confusion.

Final Answer:

The girl is Anjali's daughter.