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UPSC Prelims 2025CSATGeneral Mental AbilityData Sufficiency - Blood Relations

Q60. 60. A question is given followed by two Statements I and
II. Consider the Question and the Statements and mark the correct option. Question: 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?

A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
B. The Question can be answered by using either Statement alone.
C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
D. The Question cannot be answered even using any of the Statements.✓ Correct

Detailed Solution

✓ Correct Answer: Option D

Let's use standard notation for blood relations: Male (+), Female (-), Siblings (=), Parents-Child (vertical line). Question: How is Q related to P? Statement I: P has two sisters, R and S.

This implies P, R(-), and S(-) are siblings. We know P is male or female, but R and S are female. We have no information about Q. So, Statement I alone is not sufficient. Statement II: R’s father is the brother of Q.

Let R's father be F. So, F(+) is the father of R. F is also the brother of Q. We know F is male. We don't know Q's gender. We have no information about P. So, Statement II alone is not sufficient.

Combining Statement I and Statement II: From Statement I: P, R(-), S(-) are siblings. This means they share the same parents. From Statement II: R's father (F) is Q's brother. Since F is R's father, F is also P's father.

So, F(+) is the father of P, R, and S. And F(+) is the brother of Q. This means Q is the sibling of P's father. Therefore, Q is either P's paternal uncle (if Q is male) or P's paternal aunt (if Q is female).

Since the gender of Q is not provided, we cannot determine a unique relationship between Q and P. Even combining both statements is not sufficient to answer the question definitively. This is a typical blood relations data sufficiency problem.

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