Understanding Blood Relations and Family Trees

This question asks us to determine the relationship between two individuals, F and C, based on a series of given blood relations. To solve this type of problem, it is helpful to break down each statement and build a family tree or diagram to visualize the connections.

Analyzing the Statements

Let's go through the provided statements one by one:

• "D is the son of C and the brother of E." This tells us that C is the parent of both D and E. D is male. E's gender is not yet specified. C's gender is also not yet specified.
• "E, who is the niece of F." This confirms E is female (niece indicates a female relative). For E to be the niece of F, E's parent (who is C) must be a sibling of F.
• "C is the sister of B." This tells us C is female. C and B are siblings.
• "C is the aunt of A." An aunt is the sister of a parent. Since C is the sister of B, this means A must be the child of B.
• "B’s father has two children, a son and a daughter." Since C is the sister of B, and C is female, C must be the daughter. This implies B must be the son. So, B is male.
• "If A is the son of F." This tells us A is male. It also tells us F is a parent of A.

Building the Family Connections

Let's combine the deduced relationships:

1. C is the parent of D (male) and E (female).
2. C and B are siblings. C is female, B is male.
3. E is the niece of F, meaning C (E's parent) is a sibling of F. Since C is the sister of B, F must be the other sibling of C, or related to B. From the statement "E is the niece of F," C and F must be siblings OR F must be married to C's sibling (B).
4. C is the aunt of A, and C is B's sister. This confirms A is the child of B.
5. A is the son of F. We know A is the child of B. Since A is the child of both B and F, B and F must be the parents of A.
6. We know B is male (the son of B's father). Therefore, F must be the other parent of A. Since B is male, F must be female, and F must be B's wife.

So, the established relationships are:

• C and B are siblings (C is sister, B is brother).
• C is the mother of D and E.
• B and F are the parents of A (B is father, F is mother, therefore F is B's wife).
• E is the niece of F. Let's check this: E's mother is C. C is the sister of B. F is B's wife. A child's mother's sister is an aunt. A child's mother's brother is an uncle. A child's father's sister is an aunt. A child's father's brother is an uncle. C is B's sister. F is B's wife. E's mother is C. C is B's sister. F is B's wife. E's mother C is the sister of B, whose wife is F. E's mother's sibling's spouse is a relation. C is sister of B. F is wife of B. F is sister-in-law of C. E's mother C is sister of B. B is husband of F. E is child of C. E's mother C is sister of B. E is niece of B. B is husband of F. Is E niece of F? Yes, if E is niece of B (her uncle), she is also niece of B's wife (her aunt by marriage). This fits.

Determining the Relationship between F and C

We have established that C is the sister of B, and F is the wife of B.

The relationship between a sister and her brother's wife is sister-in-law.

Therefore, F is the sister-in-law of C.

Based on the analysis, F is the wife of C's brother (B). The wife of a brother is called a sister-in-law.

Revision Table: Key Relationships

Additional Information: Understanding In-Law Relations

In-law relationships are created through marriage. Here are some common in-law terms:

• Brother-in-law: The brother of your spouse, or the husband of your sibling.
• Sister-in-law: The sister of your spouse, or the wife of your sibling.
• Father-in-law: The father of your spouse.
• Mother-in-law: The mother of your spouse.
• Son-in-law: The husband of your child.
• Daughter-in-law: The wife of your child.

In this specific problem, F is the wife of B, and C is the sister of B. Therefore, F is the wife of C's brother. This makes F the sister-in-law of C.