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. Which of the following is a group of brothers?

Difficulty: Hard

Correct Answer: A, B and F

Explanation:


Introduction / Context:

This puzzle uses the same family as a previous question but now asks you to identify a group consisting entirely of brothers. You must use the earlier deductions about fathers, mother and siblings to decide which combination of three people can all be described as "brothers" in the sense used in the question. This requires both understanding the family tree and correctly interpreting the phrase "three brothers in the group".


Given Data / Assumptions:

  • Members: A, B, C, D, E and F.
  • C is the sister of F (so C is female; F is her sibling).
  • B is the brother of E's husband.
  • D is the father of A and the grandfather of F.
  • There are exactly two fathers, three brothers and one mother in the group.
  • From the previous cleaned solution, we already have a consistent family structure:
    • D is father of A (and B).
    • A is father of C and F.
    • E is A's wife and mother of C and F.
    • B is A's brother (another son of D).
    • C is the sister of F.
  • We interpret "three brothers in the group" as three males each of whom is a brother to at least one other person in the family.


Concept / Approach:

Based on the consistent family tree, we must find which set of three people are all male and act as brothers (siblings) to someone. A and B are brothers (sons of D). F is the brother of C (C is the sister of F). This gives three males—A, B and F—each of whom is a brother: A and B are brothers to each other, and F is a brother to C. So the group of brothers is {A, B, F}.


Step-by-Step Solution:

Step 1: Reuse the deduced structure: (a) D is a father and grandfather. (b) A is D's son and also a father (of C and F). (c) B is A's brother and thus another son of D. (d) C is the sister of F, so F must be male (a brother). (e) E is the mother in the group, being A's wife and the mother of C and F. Step 2: Identify who are "brothers": • A is a male and the sibling (brother) of B. • B is a male and the sibling (brother) of A. • F is a male and the sibling (brother) of C (since C is his sister). Step 3: Therefore, A, B and F are the three individuals who can be described as "brothers" in the sense that each is a brother to someone. Step 4: Examine the options: (a) A, B and F → all male and all play the role of brothers. This matches our reasoning. (b) A, B and D → D is a father in an older generation, not a brother. (c) B, F and C → C is a sister, not a brother. (d) H, E and W → these names do not even exist in the family, so clearly incorrect.


Verification / Alternative check:

Double-check the counts for the whole family: D and A are the two fathers; E is the one mother; A, B and F are three males who act as brothers, satisfying the "three brothers" clue. C is the sister in the sibling group (female). All global constraints are met with the A–B–F brother group, further confirming that this is the only correct option.


Why Other Options Are Wrong:

"A, B and D" falsely treats D as a brother, but he is clearly an older-generation father, not a sibling within the group of children.

"B, F and C" fails because C is explicitly the sister of F, so she cannot be counted as a brother.

The option with H, E and W is invalid because H and W do not belong to the family, and E is the mother, not a brother.


Common Pitfalls:

Candidates sometimes misunderstand "three brothers in the group" to mean three males all brothers to each other, but here the count can also be interpreted as three individuals who each are a brother to someone. That allows A and B to be brothers to each other and F to be the brother of C, giving exactly three. Always read such constraints in the context of the entire puzzle and the other roles (father, mother, sister) that must be satisfied simultaneously.


Final Answer:

The group of brothers is A, B and F.

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