• 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?
Blood Relations Puzzle: Step-by-Step Solution
Understanding the Family Relationships
First, let's break down the given relationships to establish the family structure:
- P is the brother of Q. This means P and Q are siblings. P is male.
- S is the daughter of Q. This means Q is a parent to S, and S is female.
- T is the sister of S. This means S and T are siblings. T is female. Since they are siblings, Q is also the parent of T.
- R is the mother of Q. This means R is female, and Q is her child.
From these facts, we can deduce further connections:
- Since R is the mother of Q, and P is the sibling of Q, R is also the mother of P.
- Since Q is the parent of S (and S is female), and R is the mother of Q, R is the grandmother of S.
- Since Q is the parent of both S and T, and P is the brother of Q, P is the uncle of S and T.
Analyzing the Statements
Now, let's evaluate each statement based on the deduced relationships:
Statement (1): R is the grandmother of S.
Analysis: We established that S is the daughter of Q, and R is the mother of Q. Therefore, R is the mother of S's parent, which makes R the grandmother of S.This statement is TRUE.
Statement (2): P is the uncle of S and T.
Analysis: P is the brother of Q. Q is the parent of S and T. The brother of one's parent is their uncle. Therefore, P is the uncle of both S and T.This statement is TRUE.
Statement (3): R has only one son.
Analysis: We know P is the brother of Q, so P is R's son. We also know R is the mother of Q. However, the gender of Q is not specified in the problem. Q could be male (making him R's son) or female (making her R's daughter). If Q is male, R would have two sons (P and Q). If Q is female, R would have one son (P) and one daughter (Q). Since we cannot be certain about Q's gender, we cannot definitively conclude that R has *only* one son.This statement cannot be confirmed as true.
Statement (4): Q has only one daughter.
Analysis: We are given that S is the daughter of Q. We are also given that T is the sister of S. Since T is the sister of S, T must also be a daughter of Q. Therefore, Q has at least two daughters (S and T). This contradicts the statement that Q has *only* one daughter.This statement is FALSE.
Conclusion
Based on the analysis, statements (1) and (2) are true, while statements (3) and (4) are either false or cannot be confirmed from the given information.
The correct option is the one that states both (1) and (2) are true.
Important Questions from Blood Relations
Given the statements:
- P is the sister of Q.
- Q is the husband of R.
- R is the mother of S.
- T is the husband of P.
Based on the above information, T is _______________ of S.
- M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE?
- Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Further, Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?
M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in- law of M. How is P related to M?
- If A says that his mother is the daughter of B's mother, then how is B related to A?
