Decoding Relationship Codes

First, let's understand the meaning of each symbol based on the provided information:

• A + B means A is the mother of B.
• A - B means A is the brother of B.
• A \times B means A is the father of B.
• A \div B means A is the daughter of B.

Family Expression Analysis

Now, let's decode the given family relationship expression: P - K \times Y - J \div S + R step by step:

• P - K: This means P is the brother of K. Since P is a brother, P is male.
• K \times Y: This means K is the father of Y. Since K is a father, K is male.
• Y - J: This means Y is the brother of J. Since Y is a brother, Y is male.
• J \div S: This means J is the daughter of S. Since J is a daughter, J is female.
• S + R: This means S is the mother of R. Since S is a mother, S is female.

Visualizing the Family Structure

Let's combine these facts to build the family tree:

• P and K are siblings (P is male).
• K is the father of Y.
• Y is the brother of J. This means Y and J are siblings.
• Since K is the father of Y, and Y and J are siblings, K must also be the father of J.
• J is the daughter of S.
• Since K is the father of J and S is the mother of J, K and S are the parents of J. Thus, K is the husband of S.
• S is the mother of R.
• Since S is the mother of J and also the mother of R, J and R are siblings.

Summary of relationships:

• Parents of J: K (Father, male) and S (Mother, female).
• Y is the son of K and S (since Y is J's brother).
• R is the child of S (gender not specified, but S is mother). Since J is S's daughter, R is likely J's sibling.
• P is the brother of K (male). Therefore, P is the paternal uncle of Y, J, and R.

Evaluating Statement Accuracy

Let's check each statement against our derived family structure to find the one that is NOT correct:

1. Statement: Y is son of S.
   • S is the mother of J (from J \div S).
   • Y is the brother of J (from Y - J).
   • Since Y and J are siblings and S is the mother of J, S must also be the mother of Y.
   • Y is confirmed male (from Y - J).
   • Therefore, Y is the son of S. This statement is correct.
2. Statement: P is paternal uncle of R.
   • P is the brother of K (from P - K).
   • K is the father of Y and J (from K \times Y).
   • S is the mother of J and R (from J \div S and S + R).
   • K and S are parents of J and R.
   • P is the brother of K, who is the father of R.
   • Therefore, P is the paternal uncle of R. This statement is correct.
3. Statement: K is husband of S.
   • K is the father of Y and J.
   • S is the mother of J and R.
   • Since J is the child of both K (father) and S (mother), K and S are spouses.
   • K is male and S is female.
   • Therefore, K is the husband of S. This statement is correct.
4. Statement: J is daughter of P.
   • J is the daughter of S (from J \div S).
   • K is the father of J (derived from K \times Y and Y - J).
   • P is the brother of K (from P - K).
   • P is the brother of J's father, making P the paternal uncle of J.
   • J is NOT the daughter of P. This statement is incorrect.

Identifying the Incorrect Statement

Based on the analysis of each statement, the statement "J is daughter of P" is the only one that contradicts the family relationships derived from the given expression.