A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Statement I: P has two sisters, R and S. Which one of the following is correct in respect of the above Question and the Statements?
How is Q related to P?
Statement II: R's father is the brother of Q.
The Question cannot be answered even using any of the Statements.
Analyzing the Blood Relation Question
The question asks us to determine the relationship between Q and P based on two given statements. We need to examine each statement individually and then combine them to see if the relationship can be established.
Analyzing Statement I: P has two sisters, R and S.
This statement tells us about P's immediate family members, specifically his/her siblings. We know P has two sisters, R and S. This implies R and S are P's sisters. However, this statement does not mention Q at all. Therefore, based on Statement I alone, we cannot determine how Q is related to P.
Analyzing Statement II: R's father is the brother of Q.
This statement provides a connection between R's father and Q. It states that R's father and Q are siblings (R's father is male, and he is Q's brother). This statement mentions R and Q, but it does not directly mention P or establish a link to P unless we use information from Statement I. Based on Statement II alone, we cannot determine how Q is related to P.
Analyzing Both Statements Together
Let's combine the information from both statements:
- From Statement I: R is P's sister. This means R's father is also P's father.
- From Statement II: R's father is the brother of Q.
Since R's father is P's father, we can deduce from Statement II that P's father is the brother of Q.
This establishes a relationship between P's father and Q. Q is the sibling of P's father. This means Q could be P's paternal uncle (if Q is male) or P's paternal aunt (if Q is female).
The question asks "How is Q related to P?". While we know Q is a sibling of P's father, the gender of Q is not provided in either statement or their combination. Without knowing Q's gender, we cannot definitively say whether Q is P's uncle or aunt. Therefore, the exact relationship between Q and P cannot be uniquely determined.
Conclusion on Determining the Relationship
Let's evaluate if the question can be answered:
- Using Statement I alone: No, Q is not mentioned.
- Using Statement II alone: No, P is not mentioned directly, and even inferring through R requires Statement I. Also, Q's gender is unknown.
- Using both Statements together: We can establish that Q is a sibling of P's father. However, the gender of Q is unknown, so we cannot determine if Q is P's paternal uncle or paternal aunt. Thus, the exact relationship cannot be determined.
Therefore, the question cannot be answered even by using both statements together because Q's gender is unknown, which prevents us from specifying the relationship (uncle or aunt).
Summary of Analysis
| Source | Information Provided | Can relation of Q to P be found? |
|---|---|---|
| Statement I | P has sisters R and S. | No (Q not mentioned). |
| Statement II | R's father is brother of Q. | No (P not directly mentioned, Q's gender unknown). |
| Both Statements I & II | P's father is brother of Q. | No (Q's gender unknown, cannot specify uncle/aunt). |
Based on the analysis, neither statement alone nor both statements together provide sufficient information to determine the exact relationship between Q and P.
Revision Table: Key Blood Relation Concepts
Understanding common blood relations is crucial for solving such problems.
| Relation | Description |
|---|---|
| Father's brother | Paternal Uncle |
| Father's sister | Paternal Aunt |
| Mother's brother | Maternal Uncle |
| Mother's sister | Maternal Aunt |
| Brother's son | Nephew |
| Brother's daughter | Niece |
| Sister's son | Nephew |
| Sister's daughter | Niece |
Additional Information: Solving Blood Relation Questions
When tackling blood relation problems, especially those with statements, consider the following:
- Draw a family tree or diagram. This can help visualize the relationships. Use symbols for gender (e.g., $\male$ for male, $\female$ for female) and connections (e.g., horizontal line for siblings, vertical line for parent-child).
- Process each statement separately first. See what information it provides.
- Combine the statements logically. Look for common links between statements (like 'R' or 'R's father' in this case).
- Pay close attention to gender. Relationships like uncle/aunt, nephew/niece, son/daughter depend on gender. If gender is not specified for a person whose relation is being asked, you likely cannot determine the exact relationship.
- Identify the subject and object of the relationship being asked (e.g., "How is Q related to P?" means find Q's relation to P).
In this specific problem, the missing piece of information was the gender of Q, which prevented determining if Q was P's uncle or aunt, hence the question cannot be answered definitively.
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