Pen : Write :: Knife : \(\underline{\hspace{2cm}}\)
Which one of the following options maintains a similar logical relation in the above?
Step 1: Identify the relation in the first pair.
In Pen : Write, the relation is tool : function/action.
A pen is an instrument whose primary function is to write.
Step 2: Apply the same relation to the second pair.
In Knife : \(\underline{\hspace{2cm}}}, we again need the \textbf{function/action}\) performed by a knife.
A knife is an instrument whose primary function is to \textbf{cut.
Step 3: Check the options.
(A) Vegetables = this is an object that can be cut, not the action.
(B) Sharp = this is a property of a knife, not the action.
(C) Cut = this is the correct action/function of a knife.
(D) Blunt = this is the opposite property of sharp, not the action.
Step 4: Conclusion.
Therefore, the correct analogy is Knife : Cut.
Final Answer: (C) Cut
The value of the determinant 
is: