If "A $ B" means "A is the father of B", "A # B" means "A is the daughter of B", and "A @ B" means "A is the sister of B", then how is K related to L in the expression "H @ K $ L # M"?

Introduction / Context:

In this symbolic-logic blood-relation question, operators like $, # and @ encode specific family relationships. You must decode a composite expression and then identify how one person (K) is related to another (L). These questions test precision in applying definitions and tracking gender and generational levels.

Given Data / Assumptions:

• "A $ B" means A is the father of B.
• "A # B" means A is the daughter of B.
• "A @ B" means A is the sister of B.
• The expression is H @ K $ L # M.
• We must find how K is related to L.
• We assume siblings share the same parents in this puzzle format.

Concept / Approach:

We decode each part of the expression from left to right, assigning gender and relationships. Once we know which person is child or parent of whom, and which one is explicitly a father, we can answer the question about K's relationship to L. The critical part is correctly interpreting "$" as "father of" and "#" as "daughter of".

Step-by-Step Solution:

Verification / Alternative check:

Construct a small family: Let K be a male parent. He has a daughter L and a sister H. L is also described as the daughter of M, making M the other parent. This satisfies H @ K (H sister of K), K $ L (K father of L) and L # M (L daughter of M). In this family, K's role relative to L is clearly that of father. No alternative assignment of roles fits all three clauses simultaneously while preserving gender meanings.

Why Other Options Are Wrong:

K is not L's husband; nothing in the expression suggests any marital bond between K and L, and the coding explicitly defines K as a parent of L.

K is not L's uncle, because the symbol $ defines him as a father, not as a sibling of a parent.

"Cannot be determined" is incorrect, because the definition of $ directly answers the question once applied correctly.

Common Pitfalls:

Some candidates mistakenly reverse the meaning of the symbols, reading "A $ B" as "B is the father of A" or forgetting which side is the parent. Always refer back to the definitions exactly as given and keep a consistent direction. Another frequent error is to overthink the role of M; however, for this particular question, we only need to know that K is directly defined as L's father.

Final Answer:

In the expression H @ K $ L # M, K is related to L as her father.