Question

Difficulty: MediumBlood Relations

The logical structure of a family with six individuals (P, Q, R, S, T, and U) is governed by the rules below:

1. The group includes exactly two married couples.
2. P is the father of R.
3. S is the grandmother of U.
4. T is the sister-in-law of Q.
5. R is the only brother of T.
6. Q has no brothers or sisters.
7. U is the son of Q.

Match the corresponding family members to their exact relationship with U.

  • Individual PPaternal Grandfather
  • Individual QMother
  • Individual RFather
  • Individual TPaternal Aunt

Answer

Individual P is the Paternal Grandfather, Individual Q is the Mother, Individual R is the Father, and Individual T is the Paternal Aunt.
Based on the logical deductions: Q has no siblings, so T (her sister-in-law) must be the sister of Q's spouse. R is the only brother of T, which makes R the husband of Q. U is the son of Q (and R), so Q is the mother and R is the father. P is the father of R, making P the paternal grandfather of U. T is R's sister, making her U's paternal aunt.

Step-by-Step Solution

1
Identify the spouse of Q using the sibling constraints.
R is the husband of Q.
Q has no brothers or sisters. Her sister-in-law T must therefore be her husband's sister. R is the only brother of T, meaning R must be Q's husband.
2
Determine the parents of U.
Q is the mother and R is the father of U.
U is explicitly stated as the son of Q. Since Q is married to R, R is the father.
3
Determine the relationship of P to U.
P is the paternal grandfather.
P is the father of R, and R is the father of U.
4
Determine the relationship of T to U.
T is the paternal aunt.
T is the sister of R (who is U's father).

Key Concept

Logical Deduction in Multi-generational Family Trees
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