Non Verbal Reasoning Questions

A regular Pentagon have 5 sides and 5 lines of symmetry. 

• The number of lines of symmetry in a regular polygon is equal to the number of sides.

We may label the figure as shown.

The Simplest triangles are AFB, FEB, EBC, DEC, DFB and AFD i.e 6 in number.

The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e 6 in number.

The triangles composed of three components each are ADC and ABC i.e 2 in number.

There is only one triangle i.e DBC which is composed of four components.

Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure

1, 3, 6 contain one complete circle each.

2, 5, 7 contain a semi-circle each. 

4, 8, 9 contain a triangle each.