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Blood relations with symbolic operators: Identify the expression that makes N the grandmother of P. Operator meanings: A $ B ⇒ B is the father of A A # B ⇒ B is the mother of A A * B ⇒ B is the sister of A A @ B ⇒ B is the husband of A Choose the correct expression indicating "N is the grandmother of P".

Difficulty: Medium

P * Q # M $ N
P @ Q $ M # N
P # Q $ N * M
None of these

Correct Answer: None of these

Explanation:

Test each option quickly (a) leads to N being father of M ⇒ N is grandfather, not grandmother. (b) yields N as grandmother of Q (who is P's husband), i.e., grandmother-in-law—not P's grandmother. (c) gives M as sister of N, making M a grandaunt of P.

Conclusion None of the given chains make N the grandmother of P. Therefore, None of these.

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