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Visual Reasoning

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Mathematical Logic

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Blood Relationship Aptitude Questions & Formulas with answer

Ques 1 GATE 2025 SET-1

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?

Both (1) and (2) are true.

Both (1) and (3) are true.

Only (3) is true.

Only (4) is true.

(a) is the correct answer.

Explanation:
1. Analyze the Given Relationships:
• P is the brother of Q: P is Male. P and Q are siblings.
• S is the daughter of Q: S is Female. Q is the parent of S.
• T is the sister of S: T is Female. Both S and T are children of Q.
• R is the mother of Q: R is Female. Since P and Q are siblings, R is the mother of both P and Q.

2. Evaluate Statement (1): R is the grandmother of S.
• R is the mother of Q, and Q is the parent of S. Therefore, R is indeed the grandmother of S. (True)

3. Evaluate Statement (2): P is the uncle of S and T.
• P is the brother of their parent Q, and P is male. Therefore, P is the uncle of both S and T. (True)

4. Evaluate Statement (3): R has only one son.
• We know P is a son of R. However, the gender of Q is not mentioned in the problem (Q could be male or female). We cannot definitively say R has only one son. (False / Cannot be determined)

5. Evaluate Statement (4): Q has only one daughter.
• Both S and T are daughters of Q. Thus, Q has at least two daughters. (False)

6. Conclusion: Since statements (1) and (2) are definitively true, option (a) is the correct choice.