Question

Which of the following will the next shape in the given pattern be?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We can split the pattern into two parts:

• Outer polygon: In the given pattern, the outer polygon contains another polygon inside it. The number of sides of the outer polygons increase by 1 in each successive term.

So, the first polygon is a triangle (3 sides), the second one is a square (4 sides), and the third one is a pentagon (5 sides).
Hence, the next outer polygon in the pattern should be a hexagon (6 sides).

• Inner polygon: In the given pattern, the inner polygon is inside the outer polygon. The number of sides of these polygons also increases by 1 in each successive term.

So, the first polygon is a square (4 sides), the second one is a pentagon (5 sides), and the third one is a hexagon (6 sides). So, the next inner polygon should be a
heptagon (7 sides).


Combining the two polygons, we get the next term. So, the next term should be:

A heptagon (7 sides) inside a hexagon (6 sides):