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
In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and the line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?
Note: The figure shown is representative

A square paper, shown in figure (I), is folded along the dotted lines as shown in figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?