GATE CS 2025 Set 1 | Question 4

MCQ · 1 mark · −0.33

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. Option A: Both (1) and (2) are true. (correct)
  2. Option B: Both (1) and (3) are true.
  3. Option C: Only (3) is true.
  4. Option D: Only (4) is true.

Answer

(A)

Explanation

S and T are sisters, so both are daughters of Q. R is the mother of Q, and P, being Q's brother, is also R's son.

  • (1) True: R is the mother of S's parent Q, so R is S's grandmother.
  • (2) True: P is the brother of the parent of S and T, so P is their uncle.
  • (3) Cannot be concluded: P is one son of R, but Q's gender is not given, so Q may be a second son.
  • (4) False: Q has at least two daughters, S and T.

Answer: A