📘 Quiz

Solution: Step 1: Understand the given statement. The girl says, 'He is the son of the daughter of the father of my uncle.' Step 2: Break down the relationships. - The father of the girl's uncle is the girl's grandfather. - The daughter of the girl's grandfather is the girl's mother. - The son of the girl's mother is the girl's brother. Step 3: Determine the relationship. The boy is the son of the girl's mother, making him the girl's brother. Step 4: Choose the correct option. The correct option is 'Brother'.

Solution: Step 1: Analyze the given codes: P $ Q → P is the father of Q (P is male) P # Q → P is the mother of Q (P is female) P * Q → P is the sister of Q (P is female) Step 2: Decode the expression N # L $ P * Q. Step 3: N # L → N is the mother of L. (N is female). Step 4: L $ P → L is the father of P. (L is male, P is L's child). Step 5: P * Q → P is the sister of Q. (P is female, Q is L's child, P and Q are siblings). Step 6: From steps 3, 4, and 5: N is the mother of L. L is the father of P and Q. Step 7: This implies N is the grandmother of P and Q. However, the gender of Q is not defined by any of the given codes (P*Q only tells us P is female). Step 8: Since Q's gender is unknown, we cannot determine if Q is N's grandson or granddaughter. Step 9: Therefore, the data is inadequate to specify Q's relation to N fully.

Solution: Step 1: We need to find an expression where M is a parent of C, and C is male. Step 2: Evaluate the option 'M x N - C + F': * M x N: M is the father of N (M is male). * N - C: N is the sister of C (N is female). * C + F: C is the brother of F (C is male). Step 3: From N - C and C + F, N, C, and F are siblings, and C is male. Step 4: M is the father of N. Since N, C, and F are siblings, M is also the father of C. Step 5: Since C is male and M is his father, C is the 'Son' of M.

Solution: Step 1: B is A's son. Step 2: E is the brother of B. Since B is A's son, E is also A's son. Step 3: D is married to E. Step 4: Since E is A's son, and D is married to E, D is the wife of A's son. Step 5: Therefore, D is the daughter-in-law of A.

Solution: Step 1: Analyze 'my father's wife'. This refers to Deepak's mother. Step 2: Analyze 'the daughter of my father's wife'. This means the daughter of Deepak's mother, which is Deepak's sister. Step 3: Analyze 'the two brothers of [Deepak's sister]'. Deepak himself is one of these brothers. Step 4: The boy playing football is 'the younger of the two brothers of Deepak's sister'. This implies the boy is the other brother. Step 5: Therefore, the boy playing football is Deepak's 'Brother'.

Solution: Step 1: Analyze Statement I. L is T's brother, and L is the only son of his parents. This means T must be L's sister. J is L's wife. Step 2: Analyze Statement II. K is the only daughter of L and J. This means L is K's father and J is K's mother. Step 3: Combine Statement I and II. We know L is T's brother (from I) and L is K's father (from II). Therefore, T is the sister of K's father, which means T is K's paternal aunt. Step 4: Both statements together are necessary and sufficient to determine the relationship.

Solution: Step 1: Analyze "my father's only child". Since Abhisek is speaking, this refers to Abhisek himself. Step 2: The statement becomes: "This girl is the daughter of Abhisek." Step 3: If the girl is Abhisek's daughter, then Abhisek's wife is the mother of that girl. Step 4: Therefore, Abhisek's wife is the mother of the girl.

Solution: Step 1: Understand the initial premise: B is the brother of A. This means A is either B's brother (male) or B's sister (female). To answer the question, we need to determine A's gender. Step 2: Analyze Statement I. 'A is the sister of C.' This explicitly states that A is female. If A is female and B is A's brother, then A is B's sister. Statement I alone is sufficient. Step 3: Analyze Statement II. 'E is the husband of A.' This explicitly states that A is female (as E is her husband). If A is female and B is A's brother, then A is B's sister. Statement II alone is sufficient. Step 4: Since both statements individually provide the necessary information to determine A's gender and thus her relationship to B, either Statement I or Statement II is sufficient.

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.

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.

Solution: Step 1: Construct a family tree from the given statements: - A is the son of C (C is A's mother). - C and Q are sisters (C is female, Q is female). - Z is the mother of Q (Z is female). Since C and Q are sisters, Z is also the mother of C. - P is the son of Z (P is male). Since P is Z's son, and Z is the mother of C and Q, P is the brother of C and Q. Step 2: Now, evaluate each option based on the constructed family tree: - Option: "P and A are cousins": P is A's mother's brother, making P A's maternal uncle. This is false. - Option: "P is the maternal uncle of A": P is C's brother, and C is A's mother. This accurately means P is A's maternal uncle. This is true. - Option: "Q is the maternal grandfather of A": Q is female, so cannot be a grandfather. Q is A's maternal aunt. This is false. - Option: "C and P are sisters": C is female, but P is male. They are sister and brother. This is false. Step 3: The only true statement is "P is the maternal uncle of A".

Solution: Step 1: Analyze "my grandfather's only child". This refers to Reena's father. Step 2: The boy is "the only son of [Reena's father]". Step 3: This means the boy is Reena's brother. Step 4: Therefore, Reena is the sister of that boy.

Solution: Step 1: Analyze given statements. Step 2: Statement 1: Ron is older than Paul. Step 3: Statement 2: Sam is older than Ron. Step 4: Statement 3: Timothy is the youngest. Step 5: From Statement 2, deduce Sam is the oldest as he is older than Ron, who is older than Timothy and Paul.

Solution: Step 1: Understand the given relationship - Y is introduced as the spouse of the grandchild of X's parent. Step 2: Break down the relationship - The grandchild of X's parent means X's child. Step 3: Determine Y's relationship to X - Y is the spouse of X's child, making X the father-in-law of Y. Step 4: Conclude X's relationship to Y - X is Y's father-in-law.

Solution: ## Step 1: Understand the Relationship The speaker says the man in the photograph is the only son of the speaker's grandfather's sister. ## Step 2: Determine the Family Connection - The speaker's grandfather's sister is the speaker's aunt. - The only son of the speaker's aunt would be the speaker's cousin. ## Step 3: Identify the Man's Relationship to the Speaker Since the man in the photograph is the speaker's cousin and the son of the speaker's aunt (grandfather's sister), the relationship of the man to the speaker is that of an uncle (on the mother's side) or a cousin (if considering a more general family tree without specifying the gender of the speaker's parents). ## Step 4: Conclusion Given the description, the man in the photograph is the speaker's uncle.

Solution: Step 1: Analyze Statement I. 'Sulekha's husband is the only son of Nandini's mother.' Nandini's mother's only son must be Nandini's brother. Therefore, Sulekha's husband is Nandini's brother. This means Sulekha is Nandini's sister-in-law. Statement I alone is sufficient. Step 2: Analyze Statement II. 'Sulekha's brother and Nandini's husband are cousins.' Let Sulekha's brother be X and Nandini's husband be Y. X and Y are cousins. This implies their parents are siblings. However, this information is not sufficient to uniquely determine Sulekha's relationship to Nandini (e.g., sister-in-law) without additional assumptions or very specific family structures not explicitly stated. The statement itself does not directly connect Sulekha's marital status to Nandini's brother. Therefore, Statement II alone is not sufficient. Step 3: Based on a strict interpretation, only Statement I is sufficient. However, if we assume a specific structure that would lead to 'Either I or II', such as Sulekha's brother is also Nandini's brother, and their cousin happens to be Nandini's husband, it becomes more convoluted. Adhering to the logical conclusion based on explicit information, Statement I alone is sufficient.

Solution: Step 1: M being the maternal uncle of N means M is the brother of N's mother. M must be male. Step 2: Evaluate the option 'M + O % N': * M + O: M is the brother of O (M is male). * O % N: N is the daughter of O (N is female, O is N's parent). Step 3: From these, M is the brother of O, and O is a parent of N. Step 4: For M to be the *maternal* uncle of N, O must be female (N's mother). Step 5: However, the expression 'O % N' only states that N is O's daughter; it does not specify O's gender (O could be N's father or mother). Step 6: Since O's gender is not determined, we cannot definitively conclude that M is N's maternal uncle. Step 7: Therefore, 'None of these' options correctly shows M as the maternal uncle of N.

Solution: Step 1: Understand the target relationship: D is A's uncle. This implies D is male, and D is the brother of A's parent. Step 2: Decode the gender implications for D from the symbols: - P + Q: P is male. - P x Q: P is female. - P % Q: P is female. For D to be male, D must be on the left side of '+' in an expression. Step 3: Evaluate each option: - Option 1: A % B x C + D - C + D: C is brother of D (C is male). D's gender is not determined by this operation (D could be male or female). - B x C: B is wife of C (B is female). - A % B: A is daughter of B (A is female). - Result: C is B's husband. A is B's daughter. So C is A's father. D is C's sibling. If D is male, D is A's paternal uncle. However, D's gender is not confirmed as male. - Option 2: A x B + C % D - C % D: C is daughter of D (C is female). D's gender is not determined. - B + C: B is brother of C (B is male). - A x B: A is wife of B (A is female). - Result: D is C's parent. C is B's sister. B is A's husband. So D is A's husband's parent (father-in-law/mother-in-law). Incorrect. - Option 3: A + C % B x D - B x D: B is wife of D (B is female, D is male). This confirms D is male. - C % B: C is daughter of B (C is female). - A + C: A is brother of C (A is male). - Result: D is B's husband. B is C's mother. C is A's sister. So D is B's husband, and B is A's mother. Thus, D is A's father. Incorrect. Step 4: Since none of the options definitively and unambiguously establish D as A's male uncle, the answer is 'None of these'.

Solution: Step 1: Start with "my son" (Shashank's son). Step 2: "the only daughter of my son" refers to Shashank's granddaughter. Step 3: The woman is the "mother of the only daughter of my son", meaning she is the mother of Shashank's granddaughter. Step 4: For a woman to be the mother of Shashank's granddaughter, and the granddaughter's father is Shashank's son, the woman must be married to Shashank's son. Step 5: Therefore, the woman is Shashank's daughter-in-law.