Understanding the Relationship Symbols

To solve this family tree puzzle, we first need to understand what each symbol represents:

• A # B means 'A is the brother of B'
• A @ B means 'A is the daughter of B'
• A & B means 'A is the husband of B'
• A % B means 'A is the wife of B'
• A * B means 'A is the son of B'

Analyzing the Relationship Expression

The given expression is A & D @ Q * B * K. We need to determine the relationship between D and K by breaking down the expression step-by-step:

1. A & D: This states 'A is the husband of D'. This directly implies that D is the wife of A. Therefore, D is female.
2. D @ Q: This states 'D is the daughter of Q'. This means Q is a parent (mother or father) of D.
3. Q * B: This states 'Q is the son of B'. This means B is a parent (mother or father) of Q. Since Q is a son, he is male.
4. B * K: This states 'B is the son of K'. This means K is a parent (mother or father) of B. Since B is a son, he is male.

Tracing the Generations

Let's combine these facts to trace the lineage from K down to D:

• K is the parent of B (from B * K).
• B is the parent of Q (from Q * B).
• Q is the parent of D (from D @ Q).

This establishes a generational chain:

• K → B (Parent → Son)
• B → Q (Parent → Son)
• Q → D (Parent → Daughter)

From this chain, we can see that K is the parent of B, who is the parent of Q. This makes K the grandparent of Q.

Furthermore, since Q is the parent of D, K is the parent of the parent of the parent of D. This makes K the great-grandparent of D.

Final Relationship Determination

The question asks how D is related to K. Since K is the great-grandparent of D, D must be the great-grandchild of K.

We already established that D is female (from the first step, A & D). Therefore, D is the great-granddaughter of K.