A, B, C, D, E and F are six members of a family. One married couple in this family has their parents and their children also included. A is the son of C and E is the daughter of A. D is the daughter of F, who is the mother of E. Which of the following pairs are the parents of that married couple?

Introduction / Context:
This reasoning puzzle describes a six member family with one married couple whose parents and children are also part of the same group. You have to decide which pair represents the parents of that married couple. The question mixes generation information with parent child clues and asks you to identify the elder generation pair.

Given Data / Assumptions:

• Members are A, B, C, D, E and F.
• There is one married couple whose parents and children are also in the family. So the set includes grandparents, the couple, and their children.
• A is the son of C.
• E is the daughter of A.
• D is the daughter of F.
• F is the mother of E.
• We assume ordinary monogamous relationships and shared parents for full siblings.

Concept / Approach:
The first step is to find the married couple. Since F is the mother of E and A is the father of E, A and F together form a natural candidate for the couple. Once that pair is fixed, A and F are in the middle generation, and their children are D and E. The remaining two members, B and C, must then be in the grandparent generation. Using the given fact that A is the son of C, we can infer that C is one parent of the couple, and B must be the other parent in order to complete the pattern of "parents of the married couple".

Step-by-Step Solution:
Step 1: From "E is the daughter of A" and "F is the mother of E", it follows that A and F are the parents of E and therefore a married couple.Step 2: From "D is the daughter of F", and given that F is married to A, D is also a child of A and F.Step 3: So A and F form the married couple in the middle generation, with children D and E in the younger generation.Step 4: That leaves B and C as the two remaining members who must be in the grandparent generation.Step 5: From "A is the son of C", we know C is one parent of A.Step 6: Since A is part of the married couple A and F, the phrase "parents of the couple" refers to the parents of A and the parents of F.Step 7: Given the family size and structure, B and C together must be the parents of A and F, that is, the parents of the married couple.

Verification / Alternative check:
Consider a possible arrangement. Let B and C be the grandparents. Their children are A and F, who are the married couple. A and F have two daughters, D and E. This arrangement satisfies all statements: A is son of C, E is daughter of A, F is mother of E, and D is daughter of F. The family thus consists of grandparents (B and C), the couple (A and F), and their children (D and E). So the parents of the couple are indeed B and C.

Why Other Options Are Wrong:
A and B cannot be the parents of the couple because A is part of the couple, not their parent. A and F are the couple themselves, not the parents of the couple. C and F also include F, who is a member of the couple, not a parent of it. D and E are the children of the couple, not their parents. Only the pair B and C fits the role of parents of the married couple.

Common Pitfalls:
Some learners mistakenly think that C and F might be the couple because C is the parent of A and F is the mother of E, but that contradicts the structure that A is the son of C and also the father of E. Always separate the generations clearly: grandparents, parents, and children. Once you locate the middle generation couple, the parents of that couple must come from the remaining older family members.

Final Answer:
The parents of the married couple are B and C.