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Question

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?

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

Uncle

Analyzing the Family Relationship Puzzle

Let's break down the information provided in the question step by step to build the family tree and determine the relationship between A and D.

We are told there is a family of eight persons, consisting of two couples, each with two children. This means there are 4 adults (the couples) and 4 children, totaling 8 people.

Identifying Key Clues

  • There are two couples, each with two children.
  • C and D are cousin brothers (both male).
  • The father of E is married to G.
  • G is the aunt of F.
  • F’s mother, H, is married to B.
  • B is the brother of A.
  • C is the nephew of H.

Building the Family Tree

Let's use the clues to connect the family members:

  1. "F’s mother, H, is married to B". This tells us B and H are a couple. F is their child. Since each couple has two children, B and H have one more child besides F.
  2. "B is the brother of A". This places A and B in the same generation. B is male.
  3. "The father of E is married to G". This tells us there is another couple. Let the father of E be P. So, P and G are a couple, and E is their child. They have one more child besides E.
  4. The two couples are (B, H) and (P, G). The children are F, one more child from (B, H), and E, one more child from (P, G). These 8 people must be B, H, P, G, F, E, and the two other children.
  5. "G is the aunt of F". F is a child of B and H. An aunt is the sister of a parent or the wife of a parent's brother. G is one of the parents in the second couple (P, G). For G to be F's aunt, G must be a sibling of B or H.
  6. "C is the nephew of H". H is one of the parents in the first couple (B, H). C is one of the children (the two other children besides F and E). For C to be H's nephew, C must be the son of H's sibling or B's sibling. C is also from the other couple (P, G), as cousins are from different couples. So C is a child of P or G.
  7. "C and D are cousin brothers". C and D are both male. They are cousins, meaning their parents are siblings or married to siblings. Since C is a child of (P, G) and D must be the other child of (B, H) for them to be cousins, this fits.

Let's connect G being F's aunt and C being H's nephew with C and D being cousins. C is a child of P-G, and D is a child of B-H. For them to be cousins, their parents must be siblings.

  • If G is B's sister: G is aunt of F (B's child). C is child of P-G. G is B's sister. C is child of G. C is B's nephew. H is B's wife, so C is also H's nephew. This fits all conditions (G is aunt of F, C is nephew of H, C and D can be cousins).
  • If G is H's sister: G is aunt of F (H's child). C is child of P-G. G is H's sister. C is child of G. C is H's nephew/niece. If C is male, he is nephew. This also fits all conditions.

Let's use the case where G is B's sister, as it directly connects to 'B, brother of A'.

  • B and H are married with children D and F.
  • P and G are married with children C and E.
  • B and G are siblings (G is B's sister).
  • B is the brother of A. This means A and B are brothers, and G is their sister. So, A, B are male siblings and G is their female sibling.
  • A is a person outside the family of 8, but related. The 8 persons are B, H, P, G, D, F, C, E.
  • D is a child of B and H.
  • A is the brother of B.

Based on this structure:

Generation Person Relation
Adults (Siblings) A Brother of B
B Brother of A, Brother of G, Married to H
G Sister of A, Sister of B, Married to P
Adults (Spouses) H Married to B
P Married to G
Children (Couple B-H) D Son of B & H (Cousin of C & E)
F Child of B & H
Children (Couple P-G) C Son of P & G (Cousin of D & F), Nephew of H
E Child of P & G

The 8 people in the family are B, H, P, G, D, F, C, E. A is related to the family through B.

Determining the Relationship of A to D

D is the son of B and H. B is D's father.

A is the brother of B.

Therefore, A is the brother of D's father.

The brother of one's father is one's uncle.

So, A is the uncle of D.

Conclusion

By carefully constructing the family relationships based on the given clues, we determined the structure. A is the brother of B, who is the father of D. Thus, A is D's uncle.

Question Relationship Found
How is A related to D? A is the uncle of D.

Revision Table: Key Relationships

Person Relation to others mentioned
A Brother of B
B Brother of A, Husband of H, Father of D and F
H Wife of B, Mother of D and F, Aunt of C (by marriage)
P Husband of G, Father of C and E
G Wife of P, Sister of B (and A), Aunt of D and F
C Son of P and G, Cousin of D and F, Nephew of B and H
D Son of B and H, Cousin of C and E
E Child of P and G
F Child of B and H

Additional Information on Family Relationships

Understanding common relationship terms is crucial for solving these types of puzzles.

  • Sibling: A brother or sister.
  • Spouse: A husband or wife.
  • Parent: A father or mother.
  • Child: A son or daughter.
  • Uncle: The brother of one's parent.
  • Aunt: The sister of one's parent, or the wife of one's parent's brother.
  • Nephew: The son of one's sibling.
  • Niece: The daughter of one's sibling.
  • Cousin: The child of one's parent's sibling. Cousins are in the same generation.
  • Cousin Brother/Sister: Used to specify the gender of a cousin.

When solving family tree problems, always start with the clearest connections (like marital relationships or parent-child links) and then expand using sibling and cousin relationships. Pay close attention to genders mentioned (brother, sister, son, daughter, nephew, niece) and terms like 'cousin brother' which specifies gender.

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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. Shanti’s daughter Chandini is married to Abhi. Anchal is married to Sandy, the grandson of Shanti. Abhi's grandson is Karan. Rashmi is the mother of Karan. Shaurya is Anchal's son. How is Shaurya related to Karan?

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