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All questions of Counting Figures for SSC CGL Exam

How many triangles are there?
  • a)
    29
  • b)
    25
  • c)
    33
  • d)
    26
Correct answer is option 'A'. Can you explain this answer?

The correct answer is 29 because there are several different types of triangles in the given figure. There are 16 small triangles formed by the lines inside the larger triangle. Additionally, there are 12 triangles formed by the lines on the outside of the larger triangle. Finally, there is 1 large triangle that encompasses the entire figure. Therefore, the total number of triangles is 16 + 12 + 1 = 29.

Find the number of triangles in the figure.
  • a)
    20
  • b)
    24
  • c)
    28
  • d)
    32
Correct answer is option 'C'. Can you explain this answer?

Hakunamatata answered
I could see 32 triangles.

On the four outer corners - 2*4 = 8
On the four inner corners - 2*4 = 8
Center - 4*2 = 8
The big one - 4*2 = 8

How many triangle in figure?
  • a)
    10
  • b)
    13
  • c)
    15
  • d)
    16
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
In the given figure, we can see that there are several triangles formed by the lines and intersections. By counting them, we can observe that there are a total of 15 triangles in the figure.

How many triangles are there?
  • a)
    31
  • b)
    35
  • c)
    37
  • d)
    39
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
There are 37 triangles in the given figure. To count the triangles, we can start by counting the small triangles formed by the lines within the figure. There are 16 small triangles. Next, we can count the larger triangles formed by combining the small triangles. There are 20 larger triangles. Adding the small and large triangles together gives us a total of 37 triangles in the figure.

How many triangle in figure?
  • a)
    6
  • b)
    10
  • c)
    12
  • d)
    16
Correct answer is option 'C'. Can you explain this answer?

In the given figure, we can identify multiple triangles. By counting the individual triangles, we can determine that there are a total of 12 triangles in the figure.

How many triangle in figure?
  • a)
    8
  • b)
    10
  • c)
    6
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
There are 8 triangles in the figure. By counting the triangles individually, we can identify 1 large triangle, 3 medium-sized triangles, and 4 small triangles. Therefore, the correct answer is 8.

How many triangle in figure?
  • a)
    8
  • b)
    4
  • c)
    6
  • d)
    16
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
There are 8 triangles in the figure. By counting the individual triangles, we can see that there are 2 large triangles, 4 medium triangles, and 2 small triangles, making a total of 8 triangles.

How many triangles are in the figure?
  • a)
    10
  • b)
    8
  • c)
    12
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?

The triangle 6 shown in figure and another is ADB,ACB, BDC,ADC, so that total number of triangle is 10

How many triangles are there?
  • a)
    14
  • b)
    12
  • c)
    10
  • d)
    8
Correct answer is option 'A'. Can you explain this answer?

G.K Academy answered
To count the number of triangles, we need to analyze the given figure. We can see that there are 6 small triangles formed by the lines intersecting each other. Additionally, there are 8 medium-sized triangles formed by connecting the vertices of the hexagon. Finally, there is one large triangle formed by connecting the outermost vertices of the hexagon. Therefore, the total number of triangles is 6 + 8 + 1 = 15.

How many triangles in the figure?
  • a)
    16
  • b)
    14
  • c)
    8
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
in the figure the 8 triangle is shown easily and another is COD , DOB, BOA, AOC, ACD, BDC,ABC, ABD so that total no. of triangle is 8 + 8 = 16

How many cubes are in the picture?
  • a)
    10
  • b)
    6
  • c)
    8
  • d)
    14
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
The correct answer is 10 because there are 10 cubes clearly visible in the picture.

How many triangle in figure?
  • a)
    8
  • b)
    16
  • c)
    18
  • d)
    14
Correct answer is option 'C'. Can you explain this answer?

The figure consists of multiple triangles of different sizes and orientations. By carefully examining the figure, it can be observed that there are 18 distinct triangles present. Each side of the figure, including the smaller triangles within, forms a triangle. Therefore, the correct answer is 18.

How many triangles are there in the given figure ?
  • a)
    14
  • b)
    15
  • c)
    16
  • d)
    18
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
In the given figure, there are multiple triangles formed by the lines and intersections. By counting all the triangles individually, we can find that there are a total of 15 triangles in the figure.

How many triangle in figure?
  • a)
    5
  • b)
    6
  • c)
    4
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
In the given figure, we can identify six triangles. There are three small triangles formed by the intersecting lines in the center of the figure. Additionally, there are three larger triangles formed by the outer edges of the figure. Therefore, the correct answer is 6.

How many triangle in figure?
  • a)
    13
  • b)
    16
  • c)
    14
  • d)
    15
Correct answer is option 'B'. Can you explain this answer?

In order to determine the number of triangles in the figure, we need to count all the different types of triangles present. We can see that there are 4 large triangles, 6 medium triangles, and 6 small triangles. Therefore, the total number of triangles in the figure is 4 + 6 + 6 = 16.

How many triangle in figure?
  • a)
    29
  • b)
    30
  • c)
    24
  • d)
    32
Correct answer is option 'A'. Can you explain this answer?

The figure consists of multiple triangles, including both equilateral and isosceles triangles. By carefully counting all the triangles in the figure, it can be determined that there are a total of 29 triangles present.

How many triangles are there?
  • a)
    10
  • b)
    14
  • c)
    16
  • d)
    20
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
To determine the number of triangles, we need to count the number of triangles in the given figure. By observing the figure, we can see that there are 14 triangles. There are 4 triangles formed by the large triangle at the center, 4 triangles formed by the smaller triangles on the left side, and 6 triangles formed by the smaller triangles on the right side. Therefore, the correct answer is 14.

How many triangles are there?
  • a)
    11
  • b)
    21
  • c)
    28
  • d)
    26
Correct answer is option 'C'. Can you explain this answer?

There are 24 triangles in the given figure. To count the triangles, we can start by counting the individual triangles formed by the lines and then combine them to count the larger triangles. By doing so, we can identify 24 distinct triangles in the figure.

Find the number of triangles?
  • a)
    29
  • b)
    25
  • c)
    28
  • d)
    24
Correct answer is option 'C'. Can you explain this answer?

In the above figure it consist 8 triangle so that no. of square is 3 so that total no. of triangle is 8 x 3 = 24
and 4 triangle shown in question figure so that answer is 24 + 4 = 28
 

How many rectangles are in the picture chess board?
  • a)
    1000
  • b)
    1296
  • c)
    1206
  • d)
    1096
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
The correct answer is 1296. A chessboard consists of 8 rows and 8 columns, resulting in a total of 64 squares. However, rectangles can be formed by combining different numbers of squares, including squares that are not adjacent to each other. By considering rectangles of different sizes, we can count the number of rectangles on the chessboard. The formula to calculate the number of rectangles on an m x n grid is (m * (m + 1) * n * (n + 1)) / 4. In this case, since the chessboard is 8 x 8, the calculation would be (8 x 9 x 8 x 9) / 4 = 1296.

How many triangles are there in the given figure ?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
In the given figure, we can identify six triangles. There are three small triangles formed by the intersection of the three vertical lines and the horizontal line at the bottom. Additionally, there are two larger triangles formed by the intersection of the two diagonal lines and the horizontal line at the top. Lastly, there is one triangle formed by the intersection of the two diagonal lines and the vertical line in the middle. Therefore, the correct answer is 6.

How many triangles are there?
  • a)
    12
  • b)
    13
  • c)
    14
  • d)
    15
Correct answer is option 'D'. Can you explain this answer?

There are 15 triangles in the given figure. To count the triangles, we can start by counting the small triangles within each larger triangle. There are 9 small triangles within the larger triangle on the left, 4 small triangles within the larger triangle on the right, and 2 small triangles formed by the two intersecting lines. Adding these numbers together gives us a total of 15 triangles in the figure.

How many rectangles are in the picture which are not squares?
  • a)
    30
  • b)
    50
  • c)
    70
  • d)
    100
Correct answer is option 'C'. Can you explain this answer?

EduRev SSC CGL answered
To find the number of rectangles that are not squares in the grid, follow these steps:
  • Identify the total number of rectangles, including squares.
  • Calculate the number of squares, as these are a subset of rectangles.
  • Subtract the number of squares from the total number of rectangles.
Here's how to calculate each part:
  • Total Rectangles: If the grid is n x n, you can choose two horizontal and two vertical lines to form a rectangle. The formula is:
    (n(n+1)/2)². This counts all rectangles.
  • Total Squares: For squares, consider each possible size from 1x1 to n x n. The formula is:
    n(n+1)(2n+1)/6.
  • Rectangles that are not squares: Subtract the total number of squares from the total number of rectangles.
For example, if the grid is 4 x 4:
  • Total Rectangles:
    (4(4+1)/2)² = 100
  • Total Squares:
    4(4+1)(2×4+1)/6 = 30
  • Non-square Rectangles:
    100 - 30 = 70

In question below shown, count the number of triangle and Rectangle. 
  • a)
    28 triangles, 5 rectangle
  • b)
    26 triangles, 5 rectangle
  • c)
    26 triangles,6 rectangle
  • d)
    28 triangles, 6 rectangle
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
The simplest triangle is shown in figure is 12 and another is IBO, BDO, DGO, GIO, ABO,CBD, DEO, IBD,BDG, DGI, GIB, ACO and COE and ACE is the total no of traingle are
12 + 14 = 26

Find the number of rectangles?
  • a)
    19
  • b)
    28
  • c)
    27
  • d)
    36
Correct answer is option 'D'. Can you explain this answer?

EduRev SSC CGL answered
First mark each rectangles 1, 2 and 3 after we can cube of 1 +8+27=36 we get the answer

How many squares are in the picture?
  • a)
    18
  • b)
    13
  • c)
    17
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
To count the number of squares in the picture, we need to identify squares of different sizes. In this picture, there are 9 small squares (1x1), 4 medium squares (2x2), 4 large squares (3x3), and 1 extra-large square (4x4). Adding them up, we get a total of 18 squares in the picture.

How many triangle in figure?
  • a)
    28
  • b)
    34
  • c)
    36
  • d)
    30
Correct answer is option 'C'. Can you explain this answer?

EduRev SSC CGL answered
The figure consists of multiple triangles of different sizes and orientations. To count the triangles, we can start by identifying the larger triangles formed by connecting the corners of the figure. There are 8 such larger triangles. Next, we can count the smaller triangles formed within each larger triangle. Each larger triangle contains 4 smaller triangles. Therefore, the total number of triangles in the figure is 8 (larger triangles) multiplied by 4 (smaller triangles within each larger triangle), which equals 32. However, there are also 4 additional triangles formed by the smaller triangles overlapping with each other. Hence, the correct answer is 36.

In the question find the number of triangles.
  • a)
    27
  • b)
    25
  • c)
    23
  • d)
    21
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
In the figure the simplest Triangles are GLK, DLJ, DJM,HMN,QRE,IRA,IPA, and FPO is the 8 triangle
and another is BDO,CDQ,DLM, PRA, KFI, NEI, HJI, GJI,DKI, and DNI is the 10 triangle
and another is DIE, DFI, DOA, DQA, and GHI is the 5 triangle
and DCA, DBA is the 2 triangle and DEF and ABC so that according to the figure the total no. of triangle is
8 + 10 + 5 + 2 + 1 + 1
= 27

How many triangle in figure?
  • a)
    16
  • b)
    22
  • c)
    20
  • d)
    24
Correct answer is option 'B'. Can you explain this answer?

G.K Academy answered
In the given figure, we can count the number of triangles by observing the different sizes and orientations of triangles within the figure. By carefully examining the figure, we can identify 20 triangles.

How many triangle in figure?
  • a)
    10
  • b)
    15
  • c)
    5
  • d)
    8
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
The figure consists of multiple triangles, including the large triangle formed by the three outer edges, four smaller triangles formed by the intersection of the three inner edges, and five triangles formed by the intersection of the inner and outer edges. Therefore, there are a total of 10 triangles in the figure.

How many triangles are there?
  • a)
    12
  • b)
    16
  • c)
    9
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
There are 16 triangles in the given figure. To count the triangles, we need to consider all possible combinations of lines that form triangles. By observing the figure, we can see that there are 9 small triangles formed by the lines within the larger triangle. Additionally, there are 7 more triangles formed by the lines outside the larger triangle. Therefore, the total number of triangles is 9 + 7 = 16.

How many triangle in figure?
  • a)
    8
  • b)
    12
  • c)
    10
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?

EduRev SSC CGL answered
The figure consists of multiple triangles, including the larger triangles formed by connecting the corners of the square, as well as smaller triangles formed by connecting the midpoints of the sides of the square. By counting all the triangles in the figure, we can determine that there are a total of 16 triangles.

In the following question number of triangle are
  • a)
    21
  • b)
    23
  • c)
    25
  • d)
    27
Correct answer is option 'D'. Can you explain this answer?

 
The main triangle shown is in the given figure and this the total no. of triangle is 15. remaing triangle we can find out in the drawing the triangle in the image.

How many triangles are there?
  • a)
    32
  • b)
    24
  • c)
    28
  • d)
    36
Correct answer is option 'A'. Can you explain this answer?

G.K Academy answered
There are 32 triangles in the given figure. To count the triangles, we can start by counting the smaller triangles within each larger triangle. There are 16 smaller triangles formed within the large triangle in the center. Additionally, there are 8 triangles formed by the arrangement of the small triangles around the center triangle. Finally, there are 8 more triangles formed by the outermost triangles. Adding all these together, we get a total of 32 triangles.

How many triangles are there?
  • a)
    20
  • b)
    16
  • c)
    23
  • d)
    25
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
To count the number of triangles, we need to look for all possible combinations of three line segments. By counting the individual line segments, we can determine the number of triangles. In this case, there are 20 line segments, so there are 20 possible combinations of three line segments, which results in 20 triangles.

How many triangle in figure?
  • a)
    13
  • b)
    11
  • c)
    18
  • d)
    12
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
In the given figure, we can count the number of triangles by observing the different combinations of lines. There are 11 triangles in total. We can identify 6 triangles that are formed by the outer lines of the figure. Additionally, there are 5 more triangles formed by the inner lines intersecting with the outer lines. Therefore, the correct answer is 11.

How many squares are there?
  • a)
    16
  • b)
    32
  • c)
    30
  • d)
    24
Correct answer is option 'C'. Can you explain this answer?

There are a total of 30 squares in the given figure. To count the squares, we need to consider all possible sizes of squares present. We start by counting the smallest squares, which are of size 1x1. There are 16 such squares. Next, we count the squares of size 2x2, of which there are 9. Moving on, there are 4 squares of size 3x3. Finally, there is 1 square of size 4x4. Adding up these counts gives us a total of 30 squares.

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