Difficulty: Medium
Correct Answer: Father
Explanation:
Introduction / Context:
In this symbolic-logic blood-relation question, operators like $, # and @ encode specific family relationships. You must decode a composite expression and then identify how one person (K) is related to another (L). These questions test precision in applying definitions and tracking gender and generational levels.
Given Data / Assumptions:
Concept / Approach:
We decode each part of the expression from left to right, assigning gender and relationships. Once we know which person is child or parent of whom, and which one is explicitly a father, we can answer the question about K's relationship to L. The critical part is correctly interpreting "$" as "father of" and "#" as "daughter of".
Step-by-Step Solution:
Step 1: Decode H @ K. The symbol @ means "is the sister of". So H @ K means H is the sister of K. Therefore, H is female, and H and K are siblings. Step 2: Decode K $ L. The symbol $ means "is the father of". So K $ L means K is the father of L. Hence K is male and a parent of L. Step 3: Decode L # M. The symbol # means "is the daughter of". So L # M means L is the daughter of M. Therefore, L is female and is the child of M. Step 4: From Steps 2 and 3, L is both a daughter (female child of M) and a child of K, who is her father. This implies that M is the other parent (typically the mother) of L, but that detail is not needed to answer the question about K and L. Step 5: The key relation we need is between K and L. Since K $ L means K is the father of L, the direct relationship is that K is L's father.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.
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