Introduction / Context:
This problem tests deduction about family relations using precise language in statements. We must determine the girl’s relationship to Kunal based on who the 'only granddaughter' is and whether Kunal has siblings.
Given Data / Assumptions:
- I: 'She is the mother of my father's only granddaughter.'
- II: Kunal has no siblings.
- III: 'She is the only daughter-in-law of my mother.'
- Standard kinship terms; 'only granddaughter' means exactly one granddaughter for Kunal’s father.
Concept / Approach:
Translate the kinship chain, then check which statements are sufficient to identify the woman uniquely (e.g., wife vs. sister vs. brother’s wife).
Step-by-Step Solution:
From II: Kunal has no siblings.Therefore, Kunal’s father’s only granddaughter must be Kunal’s daughter (since there is no sister to provide a granddaughter).From I: 'She is the mother of my father’s only granddaughter' → She is the mother of Kunal’s daughter → She is Kunal’s wife.Statement III alone does not suffice: the only daughter-in-law of Kunal’s mother could be either Kunal’s wife or, if Kunal had a brother, that brother’s wife. Statement II rules out siblings, but III still does not alone tie the photo woman to Kunal without I’s explicit chain.
Verification / Alternative check:
Using I without II leaves ambiguity because the 'only granddaughter' could be a sister’s daughter if Kunal had a sister. Hence, I and II together are necessary and sufficient.
Why Other Options Are Wrong:
- Any two of the three: Not true; {III with either I or II alone} is insufficient.
- Only II and III: Still ambiguous without I’s chain.
- Either only III or only I and II: III only is not sufficient.
- None of these: Incorrect because 'Only I and II' suffice.
Common Pitfalls:
Assuming daughter-in-law always means the speaker’s spouse without considering siblings; overlooking the 'only' qualifier.
Final Answer:
Only I and II
Discussion & Comments