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    Question

    How is A related to

    T? Read the information given below and answer the questions that follow  . Q Δ R means Q is either the father or the brother of R. Q => R means Q is either the mother or the sister of R. Q θ R means Q is either the son or the husband of R. Q ∞ R means Q is either the daughter or the wife of R. Q ∀ R means Q is neither the son nor the daughter of R. Q ÷ R means Q is neither the mother nor the wife of R. Q ≡ R means Q is neither the husband nor the brother of R. In a family of nine members spanned across three generations, either both or none of the parents of a person are alive. It is also known that:C ∞ S θ T, B Δ V ∀ K, C => N ∀ S, B ≡ K Δ V, J ∞ T ÷ S, C => A ∞ S, K θ N ≡ J ∀ T
    A Grandson Correct Answer Incorrect Answer
    B Granddaughter Correct Answer Incorrect Answer
    C Daughter-in-law Correct Answer Incorrect Answer
    D Nephew Correct Answer Incorrect Answer
    E None of the given option Correct Answer Incorrect Answer

    Solution

    ​ C ∞ S θ T: C is either the daughter or the wife of S, who is either the son or the husband of T Image

    T ÷ S: T is neither the mother nor the wife of S. So, case 3 is invalid.

    A ∞ S: A is either the daughter or the wife of S

    C => A: C is either the mother or the sister of A

    Image

    C => N ∀ S: C is either the mother or the sister of N, who is neither the son nor the daughter of S.

    So, case 2 is invalid. Image

    K θ N ≡ J ∀ T: K is either the son or the husband of N, who is neither the husband nor the brother of J, who is neither the son nor the daughter of T

    Also, J ∞ T: J is either the daughter or the wife of T

    So, J is the wife of T. Image V ∀ K: V is neither the son nor the daughter of K

    K Δ V: K is either the father or the brother of V

    So, K must be the brother of V. Image Image B Δ V: B is either the father or the brother of V



    B ≡ K: B is neither the husband nor the brother of K.


    So, B is the father of V and K.


    Either both or none of the parents of a person are alive. So, case 1(i) is invalid. Image A is the granddaughter of T.

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