If ‘A & B’ means ‘A is the father of B’ and ‘A @ B’ means ‘A is the sister of B’, then which of the following expressions means that H is the father of M?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → H & K @ P @ M
For H to be the father of M, H must be a male and M must be his child. Brothers and sisters have the same father, so the father of one of them is the father of all.
H & K: H is the father of K
K @ P: K is the sister of P
P @ M: P is the sister of M
K, P and M are brothers and sisters, so H, the father of K, is the father of M

Why the other options are incorrect
Option (1) H @ K @ P & M — Incorrect. H @ K makes H a sister, so H cannot be anyone’s father; here P is the father of M.
Option (2) K & H @ P @ M — Incorrect. H @ P makes H a sister of M; K is the father of M.
Option (4) M & K @ P @ H — Incorrect. Here M is the father of K, P and H, the reverse of what is asked.