Symbolic relations: If P $ Q means “P is father of Q,” P # Q means “P is mother of Q,” and P * Q means “P is sister of Q,” then in N # L $ P * Q, how is Q related to N?

Difficulty: Medium

Correct Answer: Data inadequate

Explanation:


Introduction / Context:
This item uses a custom symbol code. We must expand each link and infer Q’s relation to N. Gender-sensitive terms like grandson/granddaughter require knowing Q’s gender.



Given Data / Assumptions:

  • $ → “is father of”; # → “is mother of”; * → “is sister of”.
  • Expression: N # L $ P * Q.


Concept / Approach:
Expand left to right: N # L means N is mother of L. L $ P means L is father of P (so P is child of L). P * Q means P is sister of Q → P and Q share at least one parent, and P is female; Q’s gender is not specified.



Step-by-Step Solution:
1) N is mother of L.2) L is father of P → P is a child of L.3) P is sister of Q → Q is a child of L as well (sibling of P), but Q’s gender is unknown.4) Therefore N (mother of L) is grandparent of Q. Without Q’s gender we cannot choose “grandson” vs “granddaughter.”



Verification / Alternative check:
No portion of the code determines Q’s gender. Hence the specific male/female grandchild term cannot be fixed.



Why Other Options Are Wrong:

  • Grandson / Granddaughter: Each assumes a gender we do not know.
  • Nephew: Would make Q sibling’s child of P, which contradicts P * Q (they are siblings themselves).


Common Pitfalls:
Assuming Q’s gender from P’s female status; sibling’s gender is independent.



Final Answer:
Data inadequate

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