A, B, C, D, E and F are six members of a family. One couple in the family are parents and their children. 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. What relationship do D and E bear to each other?

Introduction / Context:
This puzzle-style blood relation question presents a six-member family with multiple generations and asks you to determine the relationship between two children, D and E. It is a good example of how to follow parent child links through the family tree and then see whether the two individuals are siblings, cousins or belong to different generations.

Given Data / Assumptions:

• A, B, C, D, E and F are six family members.
• One couple in the family are parents, and their children also belong to this group.
• A is the son of C, so C is a parent of A and A is male.
• E is the daughter of A, so A is the father of E and E is female.
• D is the daughter of F, who is the mother of E, so F is a female parent of both D and E.
• This makes A and F the parents of E, and F the mother of D as well.

Concept / Approach:
The main idea is to identify the parents of D and E. From E is the daughter of A and F is the mother of E, we can see that A and F form the parental couple for E. Then, D is described as the daughter of F. There is no statement that D has a different father; in typical reasoning puzzles, we assume the same husband wife pair for children unless explicitly separated. So D is also a child of F and A, placing D and E in the same generation with the same parents. Therefore, they are sisters.

Step-by-Step Solution:
Step 1: A is the son of C, so C is a parent of A and A is male.Step 2: E is the daughter of A, so A is E's father, and E is female.Step 3: F is the mother of E, so A and F together are the parents of E.Step 4: D is the daughter of F, so D is another female child of F.Step 5: In the absence of any contrary information, D shares the same father A, making A and F the parents of both D and E.Step 6: Therefore, D and E are daughters of the same parents, making them sisters.

Verification / Alternative check:
Draw a small tree. Put C as parent of A. A is male. A marries F. They have at least one daughter E (stated) and another daughter D (through F). This is consistent with the statement that F is the mother of E and that D is the daughter of F. There is no indication that F has a different husband for D, and the puzzle hints that a single couple with children is present. Thus, both D and E end up as daughters of the same couple A and F, confirming that they are siblings of the same generation and gender.

Why Other Options Are Wrong:
Sister and Brother is incorrect because both D and E are described as daughters, so they are both female.Mother and Son would require one of them to be a parent of the other, which is not the case; both are grandchildren of C through A.Grandmother and Granddaughter is impossible because D and E are in the same generation.Cousins would require them to have different parents who are siblings, which is not supported by the data.

Common Pitfalls:
One common confusion comes from reading F is the mother of E and D is the daughter of F and then imagining that D belongs to a different branch of the family with another father. In typical exam questions, such complications are not introduced unless stated. Another mistake is to forget that both D and E are explicitly daughters, leading to incorrect gender assumptions when choosing between sister brother pairs.

Final Answer:
D and E are related to each other as Sisters.