If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B…

2025

If A $ B means A is the brother of B; A @ B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P?

  1. A.

    P @ Q $ T # U * W

  2. B.

    P @ W $ Q * T # U

  3. C.

    P @ Q $ W * T # U

  4. D.

    P @ Q $ T # W * U

Show answer & explanation

Correct answer: A

In coded blood-relation puzzles, each symbol encodes one direct family relation. To find an indirect relation such as father-in-law, decode every symbol into its relation, trace shared parents through siblings, confirm gender where a gender-specific symbol is available, and combine the direct facts step by step; a person is someone's father-in-law only when that person is confirmed as the FATHER of that someone's spouse.

  1. P @ Q means P is the wife of Q, so Q is P's husband.

  2. Q $ T means Q is the brother of T, so Q and T are siblings and share the same parent(s).

  3. T # U means T is the daughter of U, so U is a parent of T -- and therefore also a parent of T's sibling Q.

  4. U * W means U is the father of W, which confirms U's gender as male; combined with the previous step, U is specifically the father (not merely an unspecified parent) of Q.

  5. Since U is the father of Q, and Q is P's husband, U is the father of P's husband -- that is, U is the father-in-law of P.

Checking the remaining combinations of the four symbols shows none of them both link U as a parent of P's own husband through the daughter/brother pair AND confirm U's gender as father through a father-defining (*) link within that same chain -- in each other case the daughter-of link traces to a different person's parent, or the person confirmed as a father turns out to be a sibling of P's husband rather than his father. So only this chain establishes, without gender ambiguity, that U is the father-in-law of P.

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