Consider the relationships among P, Q, R, S, and T: • P is the brother of Q. •…

2025

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?

  1. A.

    Both (1) and (2) are true.

  2. B.

    Both (1) and (3) are true.

  3. C.

    Only (3) is true.

  4. D.

    Only (4) is true.

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Correct answer: A

Given relationships:

  • P is the brother of Q.

  • S is the daughter of Q.

  • T is the sister of S (so T is also a child of Q and female).

  • R is the mother of Q.

Evaluate each statement:

  1. R is the grandmother of S: True. R is the mother of Q and S is Q's daughter, so R is S's grandmother.

  2. P is the uncle of S and T: True. P is the brother of Q, and S and T are Q's children, so P is their uncle.

  3. R has only one son: Cannot be concluded / False as a necessary statement. The given facts do not state how many sons or children R has, so you cannot assert that R has only one son.

  4. Q has only one daughter: False. The information names two daughters of Q (S and T), so Q has at least two daughters.

Correct answer: Both (1) and (2) are true.

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