If C is brother of B, B is son of A, D is father of C and A is female, then A is
Wife of D
A is the wife of D — option 3.
Take the statements one at a time.
| Statement | What it establishes |
|---|---|
| C is the brother of B | C and B are siblings, and C is male |
| B is the son of A | A is a parent of B, and therefore of C as well, since B and C are siblings |
| D is the father of C | D is the father of C, and so of B |
| A is female | A, being a female parent, is the mother |
Put it together. A and D are the two parents of the same children, B and C. D is the father, A is the mother. Therefore A is the wife of D.
The family tree :
D (father) — A (mother)
↓
C (son) and B (son)
Why each wrong option fails.
| Option | Why not |
|---|---|
| Sister of D | A is a parent of D’s children; if she were his sister the children would be her nephews, not her sons |
| Husband of D | Contradicts the statement that A is female — and this is the option the question is really guarding, since a candidate who works out the marital relation but ignores the last clause will pick it |
| Mother of D | Would make A the grandmother of B and C, not their mother, contradicting “B is the son of A” |
The method. Draw the tree rather than reasoning in words: put each generation on its own line, join spouses horizontally and children by a vertical line, and mark sex as soon as it is stated. The clue that A is female comes last but is decisive, so read every clause before answering.
Hence, the answer is Wife of D.
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