Understanding Word Relationships and Logic

This type of question tests your ability to identify the underlying relationship or logic between a given pair of words and then apply that same logic to find the correct matching pair from the alternatives. The key is to first carefully analyze the relationship in the provided example pair.

Analyzing the Given Pair: Six : Hexagon

Let's look at the relationship between the words "Six" and "Hexagon":

• "Six" is a number.
• "Hexagon" is a geometric shape, specifically a polygon.

What is the connection between the number six and a hexagon? A hexagon is defined as a polygon with exactly six sides.

Therefore, the logic or rule connecting "Six" and "Hexagon" is: Number : Polygon with that many sides.

Applying the Logic to the Options

Now, we need to examine each given option and see which word pair follows the same "Number : Polygon with that many sides" logic.

1. Four : Rectangle
   • "Four" is a number.
   • "Rectangle" is a polygon. A rectangle is a quadrilateral, meaning it has exactly four sides.
   • This pair follows the logic: Four : Polygon with \(4\) sides.
2. Four : Pentagon
   • "Four" is a number.
   • "Pentagon" is a polygon. A pentagon has exactly five sides.
   • This pair does not follow the logic: Four is not the number of sides of a pentagon.
3. Three : Square
   • "Three" is a number.
   • "Square" is a polygon. A square is a quadrilateral, meaning it has exactly four sides.
   • This pair does not follow the logic: Three is not the number of sides of a square.
4. Seven : Octagon
   • "Seven" is a number.
   • "Octagon" is a polygon. An octagon has exactly eight sides.
   • This pair does not follow the logic: Seven is not the number of sides of an octagon.

Based on the analysis, the only option that follows the established logic "Number : Polygon with that many sides" is "Four : Rectangle".

Conclusion: Identifying the Correct Relationship

The relationship between 'Six' and 'Hexagon' is that a hexagon is a polygon with six sides. We applied this logic to the options and found that 'Four' corresponds to a polygon with four sides, which is a rectangle. Thus, 'Four : Rectangle' maintains the same relationship.

The final answer is the option that demonstrates the relationship of a number corresponding to a polygon with that specific number of sides.

Revision Table: Polygon Sides Quick Check

Additional Information: Types of Word Relationships and Analogy

Word relationship or analogy questions are common in reasoning sections of competitive exams. They require you to find a connection between word pairs. Some common types of relationships include:

• Synonym/Antonym: Big : Large (Synonym), Hot : Cold (Antonym)
• Part to Whole: Finger : Hand, Page : Book
• Worker and Tool: Carpenter : Saw, Doctor : Stethoscope
• Cause and Effect: Rain : Flood, Study : Success
• Product and Raw Material: Furniture : Wood, Wine : Grapes
• Measurement: Length : Meter, Weight : Kilogram
• Geography/Location: India : Asia, Paris : France
• Number and Related Concept: As seen in this problem, Number : Polygon sides.

Practicing different types of analogies helps in quickly identifying the logic in new problems.