P’s father Q is B’s paternal uncle, and A’s husband M is P’s paternal uncle. How is A related to B?
Correct Answer: Aunt
Introduction / Context:Multiple “paternal uncle” links can look confusing, but they usually place several adults as siblings in one generation. Once you place Q and M correctly with respect to P and B, the relation of A (spouse of M) to B becomes clear.
Given Data / Assumptions:
- P’s father is Q.
- Q is B’s paternal uncle → Q is the brother of B’s father (so Q and B’s father are siblings).
- M is P’s paternal uncle → M is the brother of P’s father (i.e., brother of Q). Hence M, Q, and B’s father are all in the same sibling set.
- A is the wife of M (A’s husband is M).
Concept / Approach:First, construct the sibling set: {B’s father, Q, M}. From “Q is B’s paternal uncle,” B’s father is one sibling; from “M is P’s paternal uncle,” M is another sibling alongside Q. Therefore, M is B’s paternal uncle as well (brother of B’s father). Since A is M’s wife, A is B’s paternal aunt by marriage.
Step-by-Step Solution:
1) Q and B’s father are brothers (Q is B’s paternal uncle).2) M is brother of Q (paternal uncle of P), thus also brother of B’s father.3) Therefore, M is B’s paternal uncle; A, being M’s wife, is B’s aunt (by marriage).Verification / Alternative check:Could A be B’s mother? That would require A to be married to B’s father, but A is married to M (who is B’s father’s brother). “Cousin” does not fit a cross-generational in-law tie. No ambiguity remains.
Why Other Options Are Wrong:
- Cousin: Wrong generation and path.
- Mother: Would require A married to B’s father, not true.
- Data inadequate: The data fixes a unique configuration.
Common Pitfalls:
- Forgetting that multiple “paternal uncle” statements often imply a sibling trio.
- Mixing up “paternal aunt” (by marriage) with blood-aunt; both are “aunt” in these puzzles.
Final Answer:
Aunt