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In a family of six members (A, B, C, D, E, F), B is the son of C. C is not the mother of B. A and C are married. E is C's brother. D is A's child. F is B's brother. Identify the female members.
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Solution: Step 1: Analyze given information:
- B is son of C.
- C is not the mother of B, so A must be the mother of B.
- A and C are married.
- E is C's brother.
- D is A's child, making D a female.
- F is B's brother.
Step 2: Determine female members:
- A is female (mother of B).
- D is female (child of A).
Step 3: Conclusion:
The female members of the family are A and D.
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Given: A $ B = A is brother of B; B * C = B is son of C; C @ D = C is wife of D; A # D = A is son of D. How is C related to A?
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Solution: Step 1: Analyze the given codes:
A $ B → A is the brother of B (A is male)
B * C → B is the son of C (B is male)
C @ D → C is the wife of D (C is female, D is male)
A # D → A is the son of D (A is male)
Step 2: From 'A $ B', A is the brother of B.
Step 3: From 'B * C', B is the son of C.
Step 4: Combining steps 2 and 3, if B is the son of C, and A is B's brother, then A is also the son of C.
Step 5: From 'C @ D', C is the wife of D. (C is female).
Step 6: Since A is the son of C, and C is female, C is the mother of A.
Step 7: The information 'A # D → A is the son of D' further confirms that if C is A's mother, then D must be A's father, which is consistent with C being D's wife.
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How is Tanya related to the man depicted in the photograph? Statement I: The man in the photograph is the only son of Tanya's grandfather. Statement II: The man in the photograph has no brothers or sisters, and his father is Tanya's grandfather.
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Solution: Step 1: Analyze Statement I. 'The man in the photograph is the only son of Tanya's grandfather.' If Tanya's grandfather has only one son, that son could be Tanya's paternal father or Tanya's maternal uncle (if Tanya's mother is a daughter of the grandfather). Thus, the relationship is not uniquely determined. Statement I alone is not sufficient.
Step 2: Analyze Statement II. 'The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.' Since the man's father is Tanya's grandfather, and the man has no siblings, this means the man is the *only child* of Tanya's grandfather. If Tanya's grandfather has only one child, and that child is the man, then Tanya's father must be this man. (If Tanya's mother was a child of the grandfather, the man would have a sister, contradicting 'no brothers or sisters'). Therefore, the man in the photograph is Tanya's father. Statement II alone is sufficient.
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How is the girl in the photograph related to Kunal? Statements: (I) Kunal states, 'She is the mother of my father's only granddaughter.' (II) Kunal has no siblings. (III) Kunal states, 'She is the only daughter-in-law of my mother.'
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Solution: Step 1: Analyze Statement I: Kunal says, "She is the mother of my father's only granddaughter."
Kunal's father's granddaughter can be either Kunal's own daughter or his sibling's daughter.
So, the girl in the photograph could be Kunal's wife (if it's his daughter) or his sister-in-law (if it's his brother's daughter).
Step 2: Combine Statement I and II: "Kunal has no siblings."
If Kunal has no siblings, then his father's only granddaughter must be Kunal's own daughter. If the girl in the photograph is the mother of Kunal's daughter, then she is Kunal's wife. Therefore, Statements I and II together are sufficient.
Step 3: Analyze Statement III: Kunal says, "She is the only daughter-in-law of my mother."
If Kunal's mother has only one daughter-in-law, and Kunal is one of her sons, then that daughter-in-law must be Kunal's wife. This statement implies a unique relationship. Therefore, Statement III alone is sufficient.
Step 4: Conclusion: The relationship of the girl to Kunal can be determined by either Statements I and II together OR by Statement III alone.