Decoding P@Q$R#S Relationship

We need to determine the relationship between P and S based on the given expression and coded relations.

• '$#$' means 'husband of'
• '$@$' means 'sister of'
• '$' means 'son of'

Step-by-Step Relation Analysis

Let's break down the expression $P@Q$R#S$:

1. P@Q: This means P is the sister of Q. Since P is a sister, P is female.
2. Q$R: This means Q is the son of R. So, R is a parent of Q.
3. R#S: This means R is the husband of S. This implies S is the wife of R. Since R is a parent of Q and S is R's wife, S is also a parent (specifically, the mother) of Q.

Determining P's Relation to S

From the steps above:

• P is the sister of Q (P is female).
• S is the mother of Q.

Since P is the sister of Q, and Q's mother is S, it follows directly that P is the daughter of S.

Final Conclusion

Therefore, in the expression $P@Q$R#S$, P is the Daughter of S.