P, Q, R, S, and T are related and belong to the same family. P is the brother of S. Q is the wife of P. R and S are the children of the siblings Q and T respectively. Which one of the following statements is necessarily FALSE? A. S is the aunt of R. B. T is the aunt of R. C. Q is the sister-in-law of S. D. S is the brother of T.

GATE 2019 · General Aptitude · Family Relationship · medium

Answer: T is Q's sibling and R's parent is Q. T is therefore R's uncle or aunt. If T is male, T is R's uncle, not aunt. The statement 'T is the aunt of R' is not necessarily true and can be false. Answer: B.

1. Map out all given relationships: P is brother of S (P and S are siblings, P is male). Q is wife of P (P married Q). R is child of Q (so R is P and Q's child). S is child of T (T is S's parent). Q and T are siblings.
2. Evaluate statement B: T is the aunt of R: T is a sibling of Q. Q is R's parent. Therefore T is R's aunt or uncle depending on T's gender. If T is female, T is R's aunt. If T is male, T is R's uncle. Since T is also S's parent, and S is P's sibling, T's gender is unspecified. T being 'aunt' of R requires T to be female - this is not necessarily true.
3. Verify that B is necessarily FALSE: T is the parent of S. P is the brother of S (P is S's sibling). Q is P's wife and T's sibling. So T is P's aunt/uncle and Q's sibling. T is necessarily R's uncle or aunt. The statement that T is specifically the AUNT (female) of R could be false if T is male. The other options: A (S is aunt of R) - S is P's sibling, P is R's parent, so S is R's aunt or uncle (could be female aunt - possible). C (Q is sister-in-law of S) - Q married P who is S's brother, so Q is indeed S's sister-in-law - necessarily TRUE. D (S is brother of T) - T is S's parent, S cannot be T's sibling - necessarily FALSE.