GATE CSE 2025 | Set 1 | GA | Question: 4

Question

Consider the relationships among $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\mathrm{T}$ :

• $\mathrm{P}$ is the brother of $\mathrm{Q}$.
• $\mathrm{S}$ is the daughter of $\mathrm{Q}$.
• $\mathrm{T}$ is the sister of $\mathrm{S}$.
• $\mathrm{R}$ is the mother of $\mathrm{Q}$.

The following statements are made based on the relationships given above.

1. $\mathrm{R}$ is the grandmother of $\mathrm{S}$.
2. $\mathrm{P}$ is the uncle of $\mathrm{S}$ and $\mathrm{T}$.
3. $\mathrm{R}$ has only one son.
4. $\mathrm{Q}$ has only one daughter.

Which one of the following options is correct?

• A. Both $(1)$ and $(2)$ are true.
• B. Both $(1)$ and $(3)$ are true.
• C. Only $(3)$ is true.
• D. Only $(4)$ is true.

Comments

A
only 1 & 2

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$\text{ Option A) is Correct  }$

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for option b , there are insufficient imformation, Gender of q could be male

Answer 1

• Option A is true; $R$ is the grandmother of S.
• Option B is also true
• Option C, false: $Q's$ gender is not given
• Option D,false $Q$ having two daughter that are $T,S$

Answer 2

Option A is correct.

Answer 3

A is correct

 

Answer 4

Option A is correct.

Statement 1 and 2 are true.


But coming to ,

Statement 3:- R has only one son. Which is false because R can have P and Q as sons. Because P and Q are brothers.

Statement 4 :-
Q has only one daughter. Which is also false because Q can have S and T as daughters because they both are sisters.

The word ONLY in the statements 3 and 4 contradicts the possibility of R having 2 children and Q having 2 daughters respectively. Which is one of the possible cases. Therefore 3 and 4 statements are wrong.