There are eight people - A, B, J, K, M, P, Q, and S in a family. P is the sister-in-law of K and her son is unmarried. J is the grandson of M. S is the father of J. A is the father... There are eight people - A, B, J, K, M, P, Q, and S in a family. P is the sister-in-law of K and her son is unmarried. J is the grandson of M. S is the father of J. A is the father-in-law of K. J has neither sibling nor cousin. A is the father of only B. M is the father-in-law of P. Three couples in the family and M is not married to Q.
Understand the Problem
The question presents a family relationship scenario involving eight individuals and asks for logical deductions about their relationships based on given statements.
Answer
A is the father of B, K is A's wife, S is married to M, J is their son, and P is the sister-in-law of K.
Answer for screen readers
The family relationships established are:
- A is married to K.
- B is the child of A and K.
- S is married to M.
- J is the child of S and M.
- P and Q are the other couple, with P as the sister-in-law of K.
Steps to Solve
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Identify relationships based on given statements
Start with the first statement: "P is the sister-in-law of K and her son is unmarried." This means K is married to either P's brother or sister. P has a son who we haven’t identified yet.
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Analyze the grandson relationship
From the statement "J is the grandson of M," we conclude that J's parent must be a child of M. Since "S is the father of J," S is a child of M.
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Determine A's relationship
The statement "A is the father-in-law of K" implies that A is married to K's parent. Since A has "neither sibling nor cousin", it suggests A is the only child of their parents.
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Analyze the child relationships
A also has the condition that "A is the father of only B." Therefore, B is the only child of A. This means J is not a child of A because he is S's son. Thus, B and J are not siblings.
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Identify M's marital status
The statement "M is not married to Q" and "M is the father-in-law of P" implies M might be married to either A or S's mother. Since A is already established as a father of B, M must be married to A.
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Determine remaining relationships
As A has a wife who is not specified, and since there are three couples in total, we need to make sure all are accounted. This gives us K, M, and S as part of the couples.
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Map out the relationships based on deductions
- A (husband of M), father of B
- B (child of A)
- K (wife of A, sister-in-law of P)
- P (sister-in-law of K)
- S (father of J, married to M)
- J (grandson of M)
- M (father-in-law of P)
- Q (remaining individual, potentially married to P)
The family relationships established are:
- A is married to K.
- B is the child of A and K.
- S is married to M.
- J is the child of S and M.
- P and Q are the other couple, with P as the sister-in-law of K.
More Information
This scenario demonstrates the complexity of family relationships and how they can be logically deduced from a series of statements. It highlights the importance of carefully parsing through relational clues to establish connections.
Tips
- Failing to properly consider each relationship's implications can lead to confusion.
- Overlooking nuances like “sister-in-law” or “father-in-law” may result in incorrect family trees.
- Misclassifying individuals (e.g., treating all relatives equally rather than acknowledging specific relationships).
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