Given that: (i) A is the brother of B (ii) C is the father of A (iii) D is the…
2023
Given that:
(i) A is the brother of B
(ii) C is the father of A
(iii) D is the brother of E
(iv) E is the daughter of B, then the uncle of D is
Answer: A. A — Concept: An uncle is the brother of a person's father or mother, or the husband of that person's aunt. The relation can therefore never be read off a single…
- A.
A
- B.
B
- C.
C
- D.
D
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Correct answer: A
Concept: An uncle is the brother of a person's father or mother, or the husband of that person's aunt. The relation can therefore never be read off a single statement: first fix whose child the person is, and only then look for a brother of that parent. The dependable method for any such data set is to build the family tree generation by generation, fixing each person's generation and gender before answering.
Application — building the family tree:
By statement (iv), E is the daughter of B. So B is a parent, and E stands one generation below B.
By statement (iii), D is the brother of E. Siblings share the same parents, so D is a child of B as well, and D is male.
By statement (i), A is the brother of B. So A stands in B's own generation, as B's male sibling.
By statement (ii), C is the father of A. C therefore stands one generation above A and B, and since A and B are siblings, C is the father of B as well.
Now apply the definition. The parent of D is B, and the brother of B is A. So A is the brother of D's parent, which is exactly what uncle means.
Cross-check — where every person sits in the finished tree:
Person | Generation | Relation to D |
|---|---|---|
C | Grandparent generation | Grandfather of D, being the father of D's parent B |
A | Parent generation | Uncle of D, being the brother of D's parent B |
B | Parent generation | Parent of D and of E |
E | Same generation as D | Sister of D |
D | Same generation as E | The person whose uncle is being asked for |
Result: the uncle of D is A.