There are six persons A, B, C, D, E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and the grandfather of F. There are two fathers, three brothers and a mother in the group. Who is E's husband?

Difficulty: Hard

Correct Answer: A

Explanation:


Introduction / Context:

This is a classic, multi-step blood-relation puzzle involving six people and several constraints: two fathers, three brothers, and one mother in the group. The main question is to determine who is E's husband. Solving it requires building a consistent family structure that satisfies all given relational clues at the same time.


Given Data / Assumptions:

  • People: A, B, C, D, E and F.
  • C is the sister of F (so C is female and F is her sibling).
  • B is the brother of E's husband.
  • D is the father of A and the grandfather of F.
  • In the group, there are exactly two fathers, three brothers and one mother.
  • We assume siblings share parents unless otherwise contradicted, and "brother" and "sister" indicate both gender and sibling relation.


Concept / Approach:

The strategy is to use D's role first, because he is explicitly a father and a grandfather. From "D is the father of A and grandfather of F", we know that F is the child of one of D's children. Combining this with "C is the sister of F" and the counts of fathers and brothers, we can deduce who must be the father of F and who fits as E's husband. Finally, the structure must respect the constraints: two fathers, three brothers, and one mother.


Step-by-Step Solution:

Step 1: From "D is the father of A and the grandfather of F", we know: (a) D is male and one of the two fathers. (b) D has at least one child A and some other child who is the parent of F, or F could be a child of A. Step 2: "C is the sister of F" tells us C and F are siblings, sharing the same parents. C is explicitly female; F's gender is not given yet. Step 3: Let us assume the simplest and most common structure: A is the father of F (and C). Then D is the father of A and thus grandfather of F. This already satisfies both roles mentioned in the clue about D. Step 4: If A is the father of C and F, then A is the second father in the group. So the two fathers are D and A, matching the "two fathers" condition. Step 5: For there to be a mother, that mother must be the wife of A (the other parent of C and F). The natural candidate is E, making E the mother of C and F and the wife of A. Step 6: If E is A's wife, then A is E's husband. Now, from "B is the brother of E's husband", B is the brother of A. Thus B and A are brothers. Step 7: We now have A and B as brothers. Additionally, F is the brother of C (since C is sister of F, F must be male). So A, B and F are all males each described as a brother to someone, giving the three "brothers" mentioned in the question. Step 8: The mother in the group is E (mother of C and F). No other woman in the structure has a mother role, so this fits the condition of exactly one mother.


Verification / Alternative check:

Check all constraints with this arrangement: D (father of A) and A (father of C and F) are the two fathers. A, B and F are male siblings to someone (A and B to each other; F to C), giving three brothers. E is the mother of C and F, giving exactly one mother. C is the sister of F as required. B is correctly the brother of E's husband, because E's husband is A. No condition is violated, so the family structure is consistent.


Why Other Options Are Wrong:

E cannot be her own husband, so option C is impossible.

C is explicitly a sister, not a husband, and the question asks specifically for "E's husband", so option B is incorrect.

B cannot be E's husband in this structure, because then the "brother of E's husband" statement would become self-referential and would not naturally generate the required set of brothers and fathers.


Common Pitfalls:

Many candidates try to assign the wrong person as the parent of F or ignore the global constraints (two fathers, three brothers, one mother). Always cross-check any trial family structure with all such numerical conditions. If any count fails, the structure must be adjusted. Building a small generational diagram (D at the top, A and B in the middle, C, E and F at the bottom) is often the easiest way to keep everything consistent.


Final Answer:

E's husband is A.

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