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

Last updated on Apr 29, 2025

Latest Counting Figures MCQ Objective Questions

Counting Figures Question 1:

Find the number of triangles in the given figure. 

F1 Savita SSC 12-12-24 D47

  1. 5
  2. 4
  3. 8
  4. 6
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : 6

Counting Figures Question 1 Detailed Solution

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

F1 Savita SSC 12-12-24 D48

[Number of parts × (1 + Number of parts)] ÷ 2 = Total triangles

= [3 × (1 + 3)] ÷ 2

= [3 × 4] ÷ 2

= 12 ÷ 2

= 6

Here, there are a total of 6 triangles.

Hence, "6" is the correct answer.

Counting Figures Question 2:

Find the number of squares in the following figure.

RRB Group-D Zahida 22nd Sep 2018 Shift  1 (English) Sunny (2) - translated Reviewed images Q6

  1. 18
  2. 16
  3. 17
  4. 19
  5. 15

Answer (Detailed Solution Below)

Option 3 : 17

Counting Figures Question 2 Detailed Solution

We count the squares as follows,

RRB Group-D Zahida 22nd Sep 2018 Shift  1 (English) Sunny (2) - translated Reviewed images Q6a

Hence, there are “17” squares in the given figure.

Counting Figures Question 3:

How many squares are there in the following figure ?

F2 Sonali.S 22-06-21 Savita D5

  1. 10
  2. 11
  3. 13
  4. 15
  5. 16

Answer (Detailed Solution Below)

Option 3 : 13

Counting Figures Question 3 Detailed Solution

The number of squares in the above figure can be counted as :

F2 Sonali.S 22-06-21 Savita D6

F2 Sonali.S 22-06-21 Savita D7

Hence, option 3 is the correct answer.

Note: In the official paper, Option (3) was given as the answer.

Counting Figures Question 4:

Find the number of triangles in the given figure.

F1 Puja Madhuri 18.12.2021 D27

  1. 15
  2. 11
  3. 14
  4. 13
  5. 17

Answer (Detailed Solution Below)

Option 3 : 14

Counting Figures Question 4 Detailed Solution

By counting the triangles:

F1 Puja Madhuri 18.12.2021 D28

The triangles are → ABG, CHI, DEJ, EKJ, AFG, FHO, HOK, KMP, PMO, FLN, NLO, FNO, KPO, FKO → 14 triangles.

Hence, 14 is the correct answer.

Counting Figures Question 5:

What is the maximum number of triangles in the given figure?

F1 Madhuri Engineering 29.06.2022 D30

  1. 24
  2. 8
  3. 12
  4. 4
  5. 9

Answer (Detailed Solution Below)

Option 3 : 12

Counting Figures Question 5 Detailed Solution

Maximum number of triangles are;

F1 Madhuri Engineering 29.06.2022 D31    F1 Madhuri Engineering 29.06.2022 D32

 F1 Madhuri Engineering 29.06.2022 D33   F1 Madhuri Engineering 29.06.2022 D34

Hence, the correct answer is 12.

Top Counting Figures MCQ Objective Questions

How many triangles are there in the given figure?

F1 A.M Deepak 05.12.2019 D31

  1. 13
  2. 32
  3. 21
  4. 24

Answer (Detailed Solution Below)

Option 4 : 24

Counting Figures Question 6 Detailed Solution

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F1 A.M Deepak 05.12.2019 D32

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.

quesImage879

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.

F2 Madhuri SSC 07.04.2023 D1 V2

Number of triangles = 4

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

How many triangles are there in the given figure ?

F1 Puja Ravi 21.10.21 D1

  1. 11
  2. 13
  3. 10
  4. 12

Answer (Detailed Solution Below)

Option 1 : 11

Counting Figures Question 7 Detailed Solution

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The number of triangles in the figure is shown below:

F1 Puja Ravi 21.10.21 D2

Hence, ‘11’ is the correct answer.

How many minor sectors are there in the following figure?

  1. 24
  2. 20
  3. 32
  4. 16

Answer (Detailed Solution Below)

Option 2 : 20

Counting Figures Question 8 Detailed Solution

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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.

How many maximum squares are in the following figure?

F1 Amit.P 30-7-21 Savita D13

  1. 18
  2. 19
  3. 25
  4. 27

Answer (Detailed Solution Below)

Option 4 : 27

Counting Figures Question 9 Detailed Solution

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By counting the Squares:

Small Squares: F2 Sweta Ravi 30.08.21 D13

Large Squares: F2 Sweta Ravi 30.08.21 D14

Medium Squares: F2 Sweta Ravi 30.08.21 D15     F2 Sweta Ravi 30.08.21 D16

F2 Sweta Ravi 30.08.21 D17      F2 Sweta Ravi 30.08.21 D18

Corner Squares: F2 Sweta Ravi 30.08.21 D19

Inner Medium Squares: F2 Sweta Ravi 30.08.21 D20     F2 Sweta Ravi 30.08.21 D25 

   F2 Sweta Ravi 30.08.21 D26     F2 Sweta Ravi 30.08.21 D27

Hence, 27 is the correct answer.

How many rhombuses are there in the following figure?

Upload Counting Shivraj Dhanave 22May20 D36

  1. 16
  2. 13
  3. 14
  4. 17

Answer (Detailed Solution Below)

Option 3 : 14

Counting Figures Question 10 Detailed Solution

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Upload Counting Shivraj Dhanave 22May20 D37  Upload Counting Shivraj Dhanave 22May20 D38

Upload Counting Shivraj Dhanave 22May20 D39

There are total 14 rhombuses in the following figure.

How many triangles are there in the given figure?

F2 PujaT Madhuri 03.02.2022 D1

  1. 8
  2. 6
  3. 5
  4. 9

Answer (Detailed Solution Below)

Option 3 : 5

Counting Figures Question 11 Detailed Solution

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According to the given figure:

The no. of triangles = 5 as:

F2 PujaT Madhuri 03.02.2022 D2

Hence, 5 is the correct answer.

Identify the number of triangles in the given figure.

F1 Pranali SSC 30-12-23 D14

  1. 10
  2. 7
  3. 8
  4. 9

Answer (Detailed Solution Below)

Option 1 : 10

Counting Figures Question 12 Detailed Solution

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The triangles are:

F1 Pranali SSC 30-12-23 D15 1

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

Hence, the correct answer is "10".

How many triangles are there in the following figure?

F1 Resham R 25-10-21 Savita D3

  1. 25
  2. 23
  3. 24
  4. 27

Answer (Detailed Solution Below)

Option 4 : 27

Counting Figures Question 13 Detailed Solution

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We can count triangles in the given figure as follows,

F1 Puja T  14-3-22 Savita D3

Clearly, we can say that there are “27” triangles in the given figure.

How many triangles are there in the given figure?

F5 Savita SSC 4-1-23 D1

  1. 14
  2. 15
  3. 16
  4. 17

Answer (Detailed Solution Below)

Option 3 : 16

Counting Figures Question 14 Detailed Solution

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The logic follows here is:

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

F5 Savita SSC 4-1-23 D2

Hence, the correct answer is "16".

Alternate Method

F1 Sweta Ravi 05.08.21 D2

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

Hence, the answer is 16.

How many rectangles are there in the following picture?

RRB Group-D 18th Sep 2018 Shift 1 Sunny(Typ) Madhu(Dia) (1) hindi Reviewed 4

  1. 20
  2. 21
  3. 22
  4. 24

Answer (Detailed Solution Below)

Option 4 : 24

Counting Figures Question 15 Detailed Solution

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We can count the rectangles as follows,

RRB Group-D 18th Sep 2018 Shift 1 Sunny(Typ) Madhu(Dia) (1) hindi Reviewed 5

Hence, there are “24” rectangles in the given figure.
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