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    Question

    A family had 8 members A, B, C, D, E, F, G and H. They belonged to 3 different generations and each child had either both or none of his parents alive. • Pointing towards C, G said "he is the only son of my mother's only son-in-law". • Pointing towards B, a person said, "He is the father of my son's mother". • Pointing towards G, a person said, "She is the only sister-in-law of E's father-in-law". • F said, "I have 2 children and 2 grandchildren". • Pointing towards a person, C said, "she is the only daughter of G's sister". • Pointing towards D, F said, "He is the son-in-law of H's grandfather". • A said, "My spouse has no daughter-in-law".

    How was A related to E?

    A Father Correct Answer Incorrect Answer
    B Mother Correct Answer Incorrect Answer
    C Mother-in-law Correct Answer Incorrect Answer
    D Father-in-law Correct Answer Incorrect Answer
    E Cannot be determined Correct Answer Incorrect Answer

    Solution

    ​• Pointing towards C, G said, "he is the only son of my mother's only son-in-law". G's mother's son-in-law can be G's husband or G's sister's husband. Thus, C is either the son or nephew of G. • Pointing towards G a person said, "She is the only sister-in-law of E's father-in-law". • Pointing towards a person C said, "she is the only daughter of G's sister". G has a sister and a niece. Case 1: when C is the son of G In this case we get 9 members, hence the case is invalid. Also, G's mother cannot have 2 sons-in-law. Case 2: When C is G's nephew E will be either wife of C or husband of G's niece • Pointing towards B a person said, "He is the father of my son's mother". B must be a male. Thus, the person speaking the statement will be G's sister's husband and B will be G's father. • F said, "I have 2 children and 2 grandchildren". F will be G's mother. • Pointing towards D, F said, "He is the son-in-law of H's grandfather". D will be G's sister's husband. H will be G's niece. As E is in the 3rd generation, A will be G's sister. • A said, "My spouse has no daughter-in-law". Thus, E will be H's husband. Thus, the final family tree is as follows: A was E's mother-in-law.

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