A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the

Question

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

How is Q related to P?

Statement I: P has two sisters, R and S.  
Statement II: R's father is the brother of Q.

Which one of the following is correct in respect of the above Question and the Statements?

Accepted Answer

The question asks "How is Q related to P?". We need to determine if a unique relationship can be established using the given statements.

1.  Analyze Statement I: "P has two sisters, R and S."
    This statement tells us that P, R, and S are siblings. It does not mention Q at all. Therefore, Statement I alone is insufficient to determine the relationship between Q and P.

2.  Analyze Statement II: "R's father is the brother of Q."
    Let R's father be F. So, F is the brother of Q. This means Q is F's sibling. Therefore, Q is R's paternal uncle or paternal aunt (depending on Q's gender). This statement mentions R and Q, but not P. Therefore, Statement II alone is insufficient to determine the relationship between Q and P.

3.  Analyze both Statements together:
    From Statement I, we know P and R are siblings.
    From Statement II, we know R's father (F) is Q's brother.
    Since P and R are siblings, R's father (F) is also P's father.
    So, P's father (F) is the brother of Q.
    This means Q is P's father's sibling.
    Therefore, Q is either P's paternal uncle (if Q is male) or P's paternal aunt (if Q is female).

The problem is that the gender of Q is not provided in either statement. Since the question asks "How is Q related to P?", it implies a specific, unambiguous relationship (e.g., uncle, aunt, brother, sister, etc.). Because Q's gender is unknown, we cannot definitively say whether Q is P's paternal uncle or paternal aunt. We can only state a disjunctive relationship ("uncle or aunt"). In such reasoning questions, if the exact, singular relationship cannot be determined due to missing gender information, the question is considered unanswered.

Conclusion: Even by combining both statements, we cannot determine a unique and specific relationship between Q and P because Q's gender is unknown.

Therefore, the Question cannot be answered even using any of the Statements.

The final answer is D.

Answer

The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.

Answer

The Question can be answered by using either Statement alone.

Answer

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Answer

The Question cannot be answered even using any of the Statements.

Explanation

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