Question

Adam comes across the given unmarked Venn diagram while reading his mathematics textbook. If each circle in the diagram represents a category, then find the group of categories that is correctly described by the Venn diagram.

• A. Polygons, triangles, pentagons
• B. Pilots, engineers, doctors
• C. Cars, bikes, trucks
• D. Integers, rational numbers, natural numbers

Answer 1

The correct option is A Polygons, triangles, pentagons

Creating the Venn diagram for each group of categories, we find:

$Group1:Pilots,engineers,doctors$

Now, pilots, engineers, and doctors are all professions, and an individual can be qualified to be either one or two or all three of them.


Hence, the corresponding Venn diagram will be:


$Group2:Cars,bikes,trucks$

A vehicle can be any of the three types listed. But it cannot be any two or all three at the same time.

Hence, the corresponding diagram will be:


$Group3:Integers,rationalnumbers,naturalnumbers$

All natural numbers are integers. Similarly, all integers are rational numbers.

Hence, the corresponding diagram will be:


$Group4:Polygons,triangles,pentagons$

All triangles and pentagons are polygons.

However, there are many types of polygons that are neither triangles nor pentagons.
Example: Quadrilaterals

Hence, the corresponding diagram will be: