Read the information given below and answer the following question.
(i) In a family of six persons A,B,C,D,E and F there are two married couples.
(ii) D is the grandmother of A and mother of B.
(iii) C is wife of B and mother of F
(iv) F is the granddaughter of E.
Which of the following is true?
Explanation
1. Identify the Generations and Couples
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From (ii): D is the mother of B. Since D is a grandmother, she belongs to the 1st (top) generation.
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From (iii): C is the wife of B. This gives us our first married couple: (B(+)⟷C(−)).
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From (i) & (iii): B and C are the parents of A and F. This marks A and F as the 3rd (bottom) generation.
2. Finding the Second Couple
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We know there are two married couples.
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D is the mother of B.
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From (iv): F is the granddaughter of E. Since D is already the grandmother, E must be the grandfather to complete the second married couple in the 1st generation.
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Therefore, the second couple is: (E(+)⟷D(−)).
3. Summary of Relationships
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1st Generation: E (Grandfather) and D (Grandmother) are a married couple.
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2nd Generation: B (Son of E & D) and his wife C are a married couple.
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3rd Generation: A and F are the children of B and C.
4. Evaluating the Options
Let's check the validity of each statement based on our derivation:
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Statement (A) and (B): We know F is a granddaughter (female), but the gender of A is not mentioned in the text. We cannot definitively say if A is a brother or sister.
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Statement (D): This is false because B is the husband of C, making B the father, not the mother.
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Statement (C): Since D is the grandmother and E is the grandfather of the same children (F and A), and there are two married couples, D must be the wife of E.
Final Result
The only statement that is definitely true based on the provided information is that D is the wife of E.
Correct Option: (C) D is the wife of E.
