If ‘A # B’ means ‘A is the sister of B’ and ‘A @ B’ means ‘A is the mother of B’, then which of the following expressions means that C is the mother of F?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → C @ H # M # F
Read each expression one symbol at a time. Brothers and sisters have the same mother, so the mother of one sibling is the mother of all of them.
C @ H: C is the mother of H
H # M: H is the sister of M, so C is also the mother of M
M # F: M is the sister of F, so C is also the mother of F

Why the other options are incorrect
Option (1) H @ C # M # F — Incorrect. C # M # F makes C a sister of F, and H the mother of all three.
Option (2) F @ H # M # C — Incorrect. Here F is the mother of H, M and C, so C is F’s daughter.
Option (4) C @ H # M @ F — Incorrect. M @ F makes M the mother of F, so C is F’s grandmother.