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Let's analyze the man's statement: • "I have no brother or sister." This means the man is an only child. • "My father's son" can only be the man himself, as he has no siblings. • "That man's father is my father's son." Substituting "my father's son" with "I" (the man), the statement becomes "That man's father is I." • This means the man in the photograph is the son of the speaker. • Therefore, it was his son's photograph.

Let's establish the family connections: • A is the sister of B. • C is the father of A. (Since A is B's sister, C is also the father of B). • B is the son of D. (Since C is the father of B and D is the mother of B, C and D are a married couple). • D is the mother of E. (Since D is the mother of B and E, B and E are siblings. C is the father of B, so C must also be the father of E). • Therefore, C is the father of E.

Let's trace the relationships: • P is the father of Q. • Q is the brother of R. (This means P is also the father of R). • R is the mother of S. • Since P is the father of R, and R is the mother of S, P is the father of S's mother. • Therefore, P is the grandfather of S.

Let's establish the relationships: • Kiran is the son of Pooja. • Neha is the daughter of Kiran. (So, Neha is Pooja's granddaughter). • Aman is the brother of Neha. (So, Aman is also Kiran's child and Pooja's grandchild). • Therefore, Aman is the grandson of Pooja.

Let's break down the statement from the man's perspective: • "My wife's brother" means the man's brother-in-law. • "The son of her only brother is the brother of my wife." This means the lady's nephew is the man's brother-in-law. • If the lady's nephew is the man's brother-in-law, it implies the lady's brother is the father of the man's wife. • So, the lady's brother is the man's father-in-law. • Therefore, the lady is the sister of the man's father-in-law.

We need to find an expression where P is the maternal uncle of Q. This means P is the brother of Q's mother. Let's analyze the options: • P - M + Q: • P - M means P is the brother of M. • M + Q means M is the mother of Q. • So, P is the brother of Q's mother. This makes P the maternal uncle of Q. • Let's check other options to confirm: • Q - N + P: Q is the brother of N, N is the mother of P. P is the son/daughter of Q's sister/brother. • P + N - Q: P is the mother of N, N is the brother of Q. P is the mother of Q. • Q + P - N: Q is the mother of P, P is the brother of N. P is Q's son, and N is P's sibling. So Q is the mother of N. • Therefore, P - M + Q correctly represents 'P is the maternal uncle of Q'.

Let's trace the family tree: • X is the husband of Y. (Y is the wife of X). • W is the daughter of X. (W is also the daughter of Y, as X and Y are married). • Z is the husband of W. (Z is the son-in-law of X and Y). • N is the daughter of Z. (N is also the daughter of W). • Since W is the daughter of Y, and N is the daughter of W, N is the daughter of Y's daughter. • Therefore, N is the granddaughter of Y.

Let's break down the statement from the boy's perspective: • "My uncle" refers to the boy's father's brother or mother's brother. • "Father of my uncle" means the boy's grandfather (paternal or maternal). • "Daughter of the father of my uncle" means the daughter of the boy's grandfather. • The daughter of the boy's grandfather could be his father's sister (his aunt) or his father's wife (his mother), or another daughter (his aunt). • If it's his father's sister, then the girl is his aunt. If it's his mother, then the girl is his mother. • However, the most common interpretation in such puzzles, especially when referring to 'daughter of grandfather' in relation to a boy, implies a sibling of his father/mother, or a child of his uncle/aunt. • If the 'father of my uncle' is the boy's paternal grandfather, then his daughter could be the boy's father's sister (his aunt) or his father's sibling's child (his cousin). • If the girl is the daughter of his uncle, then she is his cousin. • If the girl is the daughter of his grandfather (who is not his mother or father), she would be his aunt or his father's/mother's sister, making her his aunt. However, if 'daughter of the father of my uncle' means the daughter of his father's brother, then she is his cousin. • Let's re-evaluate: "Father of my uncle" is the boy's grandfather. The daughter of his grandfather can be his father's sister (his aunt) or his father's sister's daughter (his cousin). Without further clarification, the most direct relation that fits is a cousin if the uncle has a daughter who is the girl. • If the uncle has a daughter, she is the boy's cousin. The father of the uncle is the grandfather. The daughter of the grandfather can be the boy's aunt (father's sister) or the boy's father (if the grandfather has only one child, the father, which is not the case here as there's an uncle). If the girl is the daughter of the uncle, she is the cousin. • Let's assume the uncle has a daughter. The father of the uncle is the grandfather. The daughter of the grandfather could be the boy's aunt. If the girl is the daughter of the uncle, then she is the boy's cousin. • The phrasing "She is the daughter of the father of my uncle" implies the girl is the daughter of the boy's grandfather. The boy's grandfather has children: the boy's father and the boy's uncle. The grandfather may also have daughters. If the girl is one of these daughters, she is the boy's aunt. However, if the girl is the daughter of the uncle, then she is the boy's cousin. • Given the options, 'Cousin' is a strong possibility. If the 'father of my uncle' has a daughter who is not the boy's mother or aunt, but a child of the uncle, then she is a cousin. • Let's consider the most direct path: Boy's uncle's father is Boy's grandfather. Grandfather's daughter could be Boy's aunt (his father's sister). If the uncle has a daughter, she would be the boy's cousin. • If the statement means the girl is the daughter of the boy's uncle, then she is his cousin. This is the most common interpretation in such problems when 'daughter of the father of my uncle' is used to imply a relation within the same generation as the boy. • Let's assume the boy's uncle has a daughter. The father of the uncle is the boy's grandfather. The girl is the daughter of the grandfather. This means the girl is either the boy's aunt (if she's the father's sister) or the boy's cousin (if she's the uncle's daughter). Without more specifics, 'cousin' is often the intended answer in such puzzles to distinguish from 'aunt'. • If the girl is the daughter of the boy's uncle, she is the boy's cousin. The uncle's father is the boy's grandfather. So, the girl is the daughter of the boy's grandfather through the uncle. This makes her the boy's cousin.

Let's analyze the given relations: • A is the father of B. • B is the sister of C. This means A is also the father of C. • C is the only daughter of D. Since A is the father of C, and C is the only daughter of D, D must be the mother of C. • If A is the father and D is the mother of C (and B), then A and D must be a married couple. • Therefore, D is the wife of A.

Let's break down the statement: • "My grandfather" refers to the woman's paternal or maternal grandfather. • "The only son of my grandfather" means the woman's father (if paternal grandfather) or her mother's brother (if maternal grandfather, but usually 'only son' implies the direct lineage). • Given the context of 'only son of my grandfather', it implies the woman's father. • "His brother's father" refers to the man's father. • So, the man's father is the woman's father. • This means the man and the woman are siblings. • Therefore, the woman is the man's sister.

Let's build the family tree: • Kiran is the son of Pooja. (Pooja is Kiran's parent). • Neha is the daughter of Kiran. (Kiran is Neha's father/mother). • Aman is the brother of Neha. (Kiran is also Aman's father/mother). Now, we need to find Aman's relation to Pooja: • Aman is the son of Kiran. • Kiran is the son of Pooja. • Therefore, Aman is the son of Pooja's son, which makes Aman Pooja's grandson.

Let's analyze each option: • We need to find P as the sister of S. This means P must be female and P and S must share parents or at least one common parent, with P being in the same generation as S. Let's check option D: P ÷ Q + R × S • P ÷ Q: P is the daughter of Q (P is female). • Q + R: Q is the father of R. • R × S: R is the brother of S. From these, we have: • P is Q's daughter. • Q is R's father. • R is S's brother. This implies Q is the father of P and R. Since R is S's brother, Q is also S's father. Thus, P, R, and S are siblings, and P is female. Therefore, P is the sister of S.

Let's decode the statement: • "My grandfather" refers to Rajesh's grandfather. • "The only son of my grandfather" refers to Rajesh's father (assuming Rajesh's grandfather has only one son, who is Rajesh's father). • "She is the daughter of the only son of my grandfather" means "She is the daughter of Rajesh's father." • Therefore, the lady is Rajesh's sister.

Let's establish the family connections: • A is the mother of B. • B is the sister of C. (This means A is also the mother of C). • D is the father of C. • Since A is the mother of C and D is the father of C, A and D must be married. • Therefore, A is the wife of D.

Let's trace the relationships: • "Y's son" refers to the child of Y. • "Son of Y's son" refers to Y's grandson. • "X is the brother of the son of Y's son" means X is the brother of Y's grandson. • Therefore, X is also Y's grandson.