Directions
• There is a family of six members A, B, C, D, E and F.
• There are two married couples in the family and the family members represent three generations.
• Each member has a distinct choice of a colour amongst Green, Yellow, Black, Red, White and Pink.
• No lady members likes either Green or White.
• C, who likes Black colour, is the daughter-in-law of E.
• B is the brother of F and son of D and likes Pink.
• A is the grandmother of F and F does not like Red.
• Wife of the husband having a choice for Green colour likes Yellow.
Which of the following is true about F?
Explanation
1. Family Hierarchy
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Generation 1: A is the grandmother of F. Since there are two married couples, A must be married to E.
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Generation 2: C is the daughter-in-law of E. This means C is married to E’s son. B is the son of D, and B is the brother of F. This implies D is the son of A and E, and D is married to C.
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Generation 3: B and F are siblings, the children of C and D.
2. Gender and Color Deductions
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A (Female): Grandmother.
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C (Female): Daughter-in-law. Likes Black.
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B (Male): Brother of F. Likes Pink.
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E (Male): Husband of A. (From the clue: Husband likes Green, Wife likes Yellow).
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D (Male): Husband of C.
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Constraint: "No lady members likes either Green or White."
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F's Data: F does not like Red.
3. Determining F's Gender
The available colors are: Green, Yellow, Black, Red, White, and Pink.
Since F does not like Red, F must like White. According to the rule: "No lady member likes White." Because F likes White, F cannot be a lady. Therefore, F is a Male.
4. Conclusion
Since F is a male and is the sibling of B, then F is the brother of B.
Correct Option: (a) Brother of B
Explanation
1. Family Hierarchy
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Generation 1: A is the grandmother of F. Since there are two married couples, A must be married to E.
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Generation 2: C is the daughter-in-law of E. This means C is married to E’s son. B is the son of D, and B is the brother of F. This implies D is the son of A and E, and D is married to C.
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Generation 3: B and F are siblings, the children of C and D.
2. Gender and Color Deductions
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A (Female): Grandmother.
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C (Female): Daughter-in-law. Likes Black.
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B (Male): Brother of F. Likes Pink.
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E (Male): Husband of A. (From the clue: Husband likes Green, Wife likes Yellow).
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D (Male): Husband of C.
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Constraint: "No lady members likes either Green or White."
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F's Data: F does not like Red.
3. Determining F's Gender
The available colors are: Green, Yellow, Black, Red, White, and Pink.
Since F does not like Red, F must like White. According to the rule: "No lady member likes White." Because F likes White, F cannot be a lady. Therefore, F is a Male.
4. Conclusion
Since F is a male and is the sibling of B, then F is the brother of B.
Correct Option: (a) Brother of B
