Pointing to a person, Laxmi said, "She is the only granddaughter of my grandmother's daughter." How is that person related to Laxmi?

Introduction / Context:

This puzzle involves three generations and the phrase "my grandmother's daughter", which could refer to Laxmi's mother or aunt. The person being pointed at is described as the "only granddaughter" of that daughter. Our goal is to determine the most consistent and exam-appropriate relationship of that person to Laxmi, and to repair the originally ambiguous options so that exactly one choice is logically correct.

Given Data / Assumptions:

• Laxmi is speaking.
• She says: "She is the only granddaughter of my grandmother's daughter."
• "My grandmother's daughter" is a woman one generation above Laxmi; this woman can be Laxmi's mother or her aunt.
• The person in question is the only granddaughter of that woman.
• We assume a typical family where each child's mother is clearly defined, and we accept standard exam practice of choosing the closest, well-defined relation.

Concept / Approach:

There are two broad possibilities for "my grandmother's daughter": she is either Laxmi's mother or Laxmi's maternal/paternal aunt. In both cases, the person pointed at must be that lady's granddaughter. If the lady is Laxmi's mother, then her granddaughter is either Laxmi's daughter or the daughter of Laxmi's sibling. In a typical reasoning setting with no explicit mention of Laxmi's children, the more natural assumption is that the granddaughter comes via a sibling's child, making the girl Laxmi's niece.

Step-by-Step Solution:

Verification / Alternative check:

Draw a simple tree: G at the top; D below her; Laxmi and her sibling S as children of D. S has a daughter X. From D's perspective, X is her only granddaughter. From Laxmi's perspective, X is the daughter of her sibling S, that is, her niece. This fits all statements and explains why a niece relation is the most natural exam answer once ambiguous options like "niece / sister" are cleaned up.

Why Other Options Are Wrong:

The girl cannot be Laxmi's mother, because she is described as the granddaughter of D, while Laxmi is a generation below D, not two generations.

She cannot be Laxmi's aunt, as an aunt would be a sister of Laxmi's parent, belonging to an older generation, not a younger one.

"Daughter" would make Laxmi the parent of the only granddaughter of D, which is not forced by the data and is not the standard assumption for such puzzles.

Common Pitfalls:

Many students get confused because the phrase "my grandmother's daughter" could name either mother or aunt and because the original option sometimes appears as "niece/sister". However, the girl cannot logically be Laxmi's sister, since a sister would be another granddaughter of the grandmother, not the granddaughter of "my grandmother's daughter". Always verify generational positions: here, the pointed girl is clearly in the generation below Laxmi's mother, making a niece relationship much more consistent.

Final Answer:

The person pointed to is best described as Laxmi's niece.