Counting Figures MCQ Quiz - Objective Question with Answer for Counting Figures - Download Free PDF

The number of triangles in the given figure is shown below:

Combining triangles 2 and 3, there is 1 more triangle.

Hence, the number of triangles are 13.

We may label it as:

We can see that:

There are 10 simple triangles: YKM, KMV, ZYN, VUT, NOP, TSR, JIL, IHL, HGL and JGL

5 Triangles having 2 components each: YKV, GJI, JIH, IHG and HGJ

2 Triangles having 3 components each: are NKL and TKL

3 Triangles having 6 components each: OKQ, SKQ and NKT

1 Triangle having 12 components: OKS

So, the maximum number of triangles in the figure is 21.

Counting the number of squares one by one :

Thus, the total number of Squares = 13.

Hence, the correct answer is "13".

The number of right-angled triangles in the given picture are shown below:

Thus, there are total 9 right-angled triangles.

Hence, "9" is the correct answer.

The logic followed here is,

So, total number of vertices after next iteration is 15.

Hence, the correct answer is "Option 1".

Hence there are "24" triangles in the figure.

First let's count the sections of the given triangle and then add them, then that is the number of triangles.

Lines originating from the top vertex are dividing the triangle into 4 parts. And naming the parts as 1, 2, 3, and 4. (Upper and bottom figure)

Then adding these parts separately we get,

Number of triangles (Upper)= 1 + 2 + 3 + 4 = 10.

Number of triangles (Upper and bottom) = 2 × 10 = 20.

Number of triangles = 4

Thus, total number of triangles = 20 + 4 = 24.

The number of triangles in the figure is shown below:

Hence, ‘11’ is the correct answer.

The logic follows here:

A sector of a circle is called the minor sector if the minor arc of the circle is a part of its boundary. It is the sector with a smaller area. The angle of a minor sector is less than 180 degrees.

In the given diagram,

5 circle is given and each circle divides into 4 sectors.

So, 5 × 4 = 20.

Hence, the "20" sectors are there in the following figure.

By counting the Squares:

Small Squares: 

Large Squares: 

Medium Squares:      

Corner Squares: 

Inner Medium Squares:       

Hence, 27 is the correct answer.

There are total 14 rhombuses in the following figure.

The triangles are:

So, there are '10' triangles in the given figure.

Hence, the correct answer is "10".

According to the given figure:

The no. of triangles = 5 as:

Hence, 5 is the correct answer.

We can count triangles in the given figure as follows,

The logic follows here is:

The total number of triangles here is 16 as given below.

Hence, the correct answer is "16".

Alternate Method

Triangle (GCD, GDE, GCE, GIE, ICE, HCG, HCE, FIE, FCE, BHC, BCE, ACE, BCG, FGE, AEH, ACI)

Hence, the answer is 16.

We can count the rectangles as follows,