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GATE 2025 CS (CS1) – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

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. Both (1) and (2) are true.
  2. Both (1) and (3) are true.
  3. Only (3) is true.
  4. Only (4) is true.

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Show answer and explanation

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

Explanation

R is Q's mother and S is Q's daughter, so R is S's grandmother. P is Q's brother, so P is the uncle of S and T. Q's gender is unknown, so (3) need not hold. S and T are sisters, so Q has two daughters and (4) is false.