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GATE CSE 2025 Session 1 Q4: Family relations among P, Q, R, S and T

Question

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?

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: A (official GATE 2025 final answer key)

Concept used: Blood relations: draw the family tree and check only what is forced by the facts.

First step: R is Q's mother and S, T are Q's daughters, so R is their grandmother and P (Q's brother) is their uncle; Q's gender is unknown, so (3) cannot be concluded.

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Source: official GATE 2025 Session 1 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key