MCQ: Counting Figures- 3 - SSC CGL MCQ

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.

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.

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.

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.

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.

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.

let's count them:

1. There are 4 small triangles at each corner.
2. There are 2 small triangles in the center.
3. There are 2 small triangles formed by the intersection of the lines in the center.
4. There are 4 larger triangles that include the smaller triangles (each side of the rectangle).
5. There are 2 even larger triangles formed by combining the smaller triangles in the two halves.

Let's count:

1. 4 (small corner triangles)
2. 2 (center triangles)
3. 2 (intersecting center triangles)
4. 4 (larger triangles on each side)
5. 2 (even larger combined triangles)

Total: 4 + 2 + 2 + 4 + 2 = 14 triangles

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.

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.

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.

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.

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.

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.

The correct answer is 10 because there are 10 cubes clearly visible in the picture.

In the given picture, there are a total of 100 rectangles. However, some of these rectangles are squares, which means they have equal length and width. To find the number of rectangles that are not squares, we need to subtract the number of squares from the total number of rectangles. As the correct answer is 70, it implies that there are 70 rectangles in the picture that are not squares.