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(C) To determine if $N$ is the mother of $K$,$N$ must be female and a parent of $K$.Let's analyze the options:$A) K + L \div N 	imes F$: $K$ is siste

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$H 	imes K \div N$

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(C) To determine if $N$ is the mother of $K$,$N$ must be female and a parent of $K$.Let's analyze the options:$A) K + L \div N 	imes F$: $K$ is sister of $L$,$L$ is daughter of $N$,$N$ is father of $F$. Here $N$ is the father of $K$.$B) M \div L 	imes K$: $M$ is daughter of $L$,$L$ is father of $K$. This does not involve $N$.$C) H 	imes K \div N$: $H$ is father of $K$,$K$ is daughter of $N$. This implies $N$ is the mother of $K$ (since $H$ is the father and $K$ is the daughter of $N$).$D) N 	imes F + K$: $N$ is father of $F$,$F$ is sister of $K$. Here $N$ is the father of $K$.Therefore,option $(c)$ correctly indicates that $N$ is the mother of $K$.

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