Understanding the Family Relationships

This problem requires us to determine the relationship between two individuals, A and E, based on a set of family connections. Let's break down the given information step by step:

• Statement 1: "A is the daughter of C's sister B."
  • This tells us that B is the mother of A.
  • It also establishes that B and C are siblings. Since B is mentioned as 'sister', B is female.
  • Consequently, C is the maternal aunt of A (the sister of A's mother).
• Statement 2: "D is the husband of C."
  • This confirms that C is female and D is male.
  • Since C is A's maternal aunt, D (C's husband) is A's maternal uncle-in-law.
• Statement 3: "E is D's father."
  • This means E is the father of D.
  • Since D is A's maternal uncle-in-law, E is the father of A's maternal uncle-in-law.

Tracing the Connection from E to A

To find the relationship of A to E, let's trace the lineage starting from E:

• E is the starting point (father).
• E's son is D.
• D's wife is C.
• C's sister is B.
• B's daughter is A.

So, the sequence is E → D (son) → C (D's wife) → B (C's sister) → A (B's daughter).

Deriving the Relationship of A to E

We need to describe A's relationship from E's perspective, following the chain we traced:

• E has a son (D).
• That son (D) has a wife (C).
• That wife (C) has a sister (B).
• That sister (B) has a daughter (A).

Therefore, A is the daughter of the sister of the wife of E's son. This can be precisely stated using the phrasing structure from the options:

A is "Son's wife's sister's daughter".

In this phrase:

• 'Son' refers to E's son, D.
• 'Son's wife' refers to D's wife, C.
• 'Son's wife's sister' refers to C's sister, B.
• 'Son's wife's sister's daughter' refers to B's daughter, A.

Final Answer Verification

The derived relationship, "Son's wife's sister's daughter", precisely matches the description given in Option 1. This confirms the logical sequence derived from the problem statement.