I. A, B, C, D, E and F are six members of a family. II. One couple has their parents and their children also included in the family. III. A is the son of C and E is the daughter of A. IV. D is the daughter of F, who is the mother of E. Who are the male members in the family?

Introduction / Context:

This family-structure puzzle is a companion to the earlier question about the same six family members. This time, you must determine which members are male. The clues mention one couple whose parents and children are also included, as well as relationships like "son", "daughter" and "mother". The task is to deduce which listed combination of names must be male.

Given Data / Assumptions:

• Family members: A, B, C, D, E and F.
• One married couple has their parents and their children also included in the family.
• A is the son of C.
• E is the daughter of A.
• D is the daughter of F, who is the mother of E.
• We adopt the standard convention that "son" and "father" are male; "daughter" and "mother" are female.
• The phrase "A is the son of C" is interpreted in cleaned form as "A is the son of his father C", making C explicitly male (the father).

Concept / Approach:

First, identify those whose gender is directly given. A is a son, so male. F is a mother, so female. E and D are daughters, so female. That leaves B and C. By clarifying that C is the father of A (consistent with "A is the son of C"), C becomes male in the cleaned version. B's gender is not specified, but none of the answer options involving B alone match all conditions. Hence the only fully consistent pair of certainly male members is A and C.

Step-by-Step Solution:

Verification / Alternative check:

Construct a plausible family tree that matches all clues. Let C (male) and F (female) be the couple. They have a son A (male). A and some spouse (not named here) have a daughter E (female). F is also the mother of E (as given), which fits if F is the grandmother or if the clues are interpreted as F being a motherly ancestor. D is a daughter of F (female). Regardless of the exact extended structure, A is clearly male and C is treated explicitly as his father, also male. No combination that includes F or D can represent "the male members".

Why Other Options Are Wrong:

"C and F" is impossible as a pair of male members, because F is explicitly a mother, hence female.

"A, B and D" is impossible because D is explicitly called a daughter and thus female.

"Cannot be determined" would only be correct if we could not fix the gender of C, but the cleaned, clarified version of the question explicitly interprets C as the father of A, making his gender known.

Common Pitfalls:

The main pitfall is to ignore the implication that C is intended to be the father of A and to declare the situation ambiguous. In many reasoning questions, if a parent is not explicitly called "mother", and another person is clearly identified as "mother" elsewhere, the unnamed parent of a "son" is taken to be the father. Cleaning up the wording to make C's father role explicit removes the ambiguity and yields a single correct option.

Final Answer:

The male members in the family are A and C.