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Question

D is the son of C and the brother of E, who is the niece of F. C is the sister of B and the aunt of A. B’s father has two children, a son and a daughter. If A is the son of F, how is F related to C?

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

Sister-in-law

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.

Individual Relation Gender
C Sibling of B, Parent of D & E, Aunt of A Female
D Son of C, Brother of E Male
E Daughter of C, Sister of D, Niece of F Female
B Sibling of C, Parent of A Male
F Parent of A, Wife of B Female
A Son of F, Child of B, Nephew of C Male

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

Relationship Explanation
C and B Siblings (C is sister, B is brother)
C and D/E Parent and children (C is parent)
B and A Parent and child (B is parent)
F and A Parent and child (F is parent)
B and F Spouses (F is wife of B)
F and C Wife of brother (F is B's wife, C is B's sister) $\implies$ Sister-in-law

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.

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Similar Questions

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  2. In a family of eight persons, there are two couples, each having two children. C and D are cousin brothers. The father of E is married to G, who is the aunt of F. F’s mother, H is married to B, the brother of A. C is the nephew of H. How is A related to D?

  3. Pamila is the granddaughter of Akun who is married to Nikita. Murali is the brother-in-law of Akun who has two daughters but no son. Rahul is the cousin of Kamal and brother of Pamila. Uday and Vanmay are the sons-in-law of Nikita. Vanmay is married to Yamini and they have two daughters and one son. Uday has one son and one daughter. Tina and Smita are the daughters of Yamini. Murali is unmarried. How is Yamini related to Rahul?

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    If U + C × Q – P ÷ R ÷ S – T, then how is S related to U?
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Important Questions from Family Tree Problems

  1. Six members of a family namely A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are married couple. E is the brother of C, D is the daughter of A. F is the brother of B. How many male members are there in the family?
  2. Sunil is the son of Kesav. Simran, who is Kesav's sister, has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti?
  3. A and B are brothers. C and D are sisters. A's son is D's brother. How is B related to C?

  4. A is B's sister. C is B's mother. D is C's father. E is D's mother. Then, how is A related to D?

  5. P, Q, R, S, T and U are six members of a family. Ris the spouse of Q. U is the mother of Tand Sis the daughter of U. P's daughter is Tand R's son is P. There are two couples in the family. Which one of the following is correct?
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