Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?

Question

B is brother of S; S is sister of F and D is daughter of F. How is D related to B?

Answer 1

To solve this problem, we must analyze the family relationships described in the question and determine which statements are accurate.

Analyzing the relationships:
- P is the brother of Q. This establishes that P and Q are siblings.
- S is the daughter of Q. This establishes that Q is the parent of S.
- T is the sister of S. This establishes that Q is also the parent of T, and S and T are siblings.
- R is the mother of Q. This establishes that R is the parent of Q, and thus, the grandmother of S and T.
Now, evaluate each statement:
- (1) R is the grandmother of S. Since R is the mother of Q and Q is the parent of S, R is indeed the grandmother of S. This statement is true.
- (2) P is the uncle of S and T. P is the brother of Q, who is the parent of S and T. Therefore, P is the uncle of S and T. This statement is true.
- (3) R has only one son. There is no information provided regarding the number of sons R has; all we know is that P is a brother and Q is a sibling. Therefore, this statement cannot be confirmed based on the given data. This statement cannot be affirmed as true.
- (4) Q has only one daughter. Since both S and T are daughters of Q, this statement is false. This statement is false.
Conclusion: Based on the analysis of the relationships, statements (1) and (2) are true. Therefore, the correct answer is "Both (1) and (2) are true."

Answer 2

To solve this problem, we must analyze the family relationships described in the question and determine which statements are accurate.

Analyzing the relationships:
- P is the brother of Q. This establishes that P and Q are siblings.
- S is the daughter of Q. This establishes that Q is the parent of S.
- T is the sister of S. This establishes that Q is also the parent of T, and S and T are siblings.
- R is the mother of Q. This establishes that R is the parent of Q, and thus, the grandmother of S and T.
Now, evaluate each statement:
- (1) R is the grandmother of S. Since R is the mother of Q and Q is the parent of S, R is indeed the grandmother of S. This statement is true.
- (2) P is the uncle of S and T. P is the brother of Q, who is the parent of S and T. Therefore, P is the uncle of S and T. This statement is true.
- (3) R has only one son. There is no information provided regarding the number of sons R has; all we know is that P is a brother and Q is a sibling. Therefore, this statement cannot be confirmed based on the given data. This statement cannot be affirmed as true.
- (4) Q has only one daughter. Since both S and T are daughters of Q, this statement is false. This statement is false.
Conclusion: Based on the analysis of the relationships, statements (1) and (2) are true. Therefore, the correct answer is "Both (1) and (2) are true."

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