X @ Y means X is the son of Y.
X % Y means X is the father of Y.
X $ Y means X is the wife of Y.
X # Y means X is the mother of Y.
Which of the following shows that N is the maternal uncle of H?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → N @ B % T $ A % H
In a coded relation, each symbol stands for one relation, and each pair is read as “the letter on the left is the … of the letter on the right”. A maternal uncle is the brother of one’s mother, so the expression must make N a male sibling of H’s mother.
The codes given in the question:
X @ Y means X is the son of Y
X % Y means X is the father of Y
X $ Y means X is the wife of Y
X # Y means X is the mother of Y
The expression N @ B % T $ A % H breaks into four pairs:
N @ B — the symbol is @, “is the son of”. So N is the son of B; this pair makes N male.
B % T — the symbol is %, “is the father of”. So B is the father of T, and N and T are children of B: N is T’s brother.
T $ A — the symbol is $, “is the wife of”. So T is the wife of A; this pair makes T female.
A % H — the symbol is % again. So A is the father of H, and A’s wife T is H’s mother.
N is the brother of H’s mother, so N is H’s maternal uncle.
Why the other options are incorrect
Option (1) N % B @ T # A % H — Incorrect. N % B makes N the father of B, so N is a generation too high to be H’s uncle.
Option (2) N @ B % T # A % H — Incorrect. T # A makes T the mother of A, the father of H, so N is the brother of H’s grandmother.
Option (4) N @ B % T @ A # H — Incorrect. T @ A and A # H make T and H children of the same mother A, so N, T’s brother, is H’s brother, not uncle.