There are six persons A, B, C, D, E and F in a family. 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 exactly two fathers, three brothers and one mother in the group. Who is the mother?

Introduction / Context:

This is a more involved blood-relation puzzle combining information about genders, parent–child relationships and counts of roles (fathers, brothers and a mother) within a six-person family. The goal is to identify the person who must be the mother based on all clues. Such questions are designed to test systematic reasoning rather than quick guessing.

Given Data / Assumptions:

• Family members: 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, so B is male and is a brother-in-law of E.
• D is the father of A and the grandfather of F, so D is male and one generation above A and two above F.
• There are exactly two fathers in the group.
• There are exactly three brothers in the group.
• There is exactly one mother in the group.
• We assume standard family structure without adoptions or remarriages unless required.

Concept / Approach:

First we place D as a father and grandfather, then deduce who F's parent must be. From that we infer the second father and locate the single mother. We also check the count of “brothers” (males who are brothers to someone) to ensure consistency. The final configuration must satisfy all role counts and the given relationships simultaneously.

Step-by-Step Solution:

Verification / Alternative check:

Let us summarise the consistent family tree: D is the father of A and B. A (male) is married to E (female). A and E are the parents of C and F, where C is a sister and F is a brother. In this arrangement, fathers: D and A (two fathers); brothers: A, B and F (three brothers); mother: E (one mother). All given relational statements are satisfied and all counts match perfectly.

Why Other Options Are Wrong:

A cannot be the mother because A is a son of D and fits better as F's father, giving us the required two fathers.

B is a brother of E's husband and therefore male, but there is no indication that B has any child; he cannot be the unique mother.

C is specifically stated to be a sister of F, i.e., female, but she is in the children's generation, not a parent.

Common Pitfalls:

Test-takers often ignore the role counts and focus only on direct relational clues, which can lead to multiple seemingly possible arrangements. The constraints “two fathers, three brothers and a mother” are crucial and are what uniquely force E to be the mother. Always use count-based constraints carefully in such puzzles.

Final Answer:

The mother in the family is E.