Discussion
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?
Answer: A
The correct option is Both (1) and (2) are true.
S and T are sisters and S is Q's daughter, so both are Q's daughters. R is Q's mother, so R is the grandmother of S, and (1) is true. P is Q's brother, so P is the uncle of both S and T, and (2) is true.
Statement (3) cannot be settled: P is a son of R, but Q's gender is not given, so R may have one son or two. Statement (4) is false, because Q has at least two daughters, S and T. That rules out 'Both (1) and (3)', 'Only (3)' and 'Only (4)'.
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