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mediumMCQUP Police Constable Re-Exam2026General Intelligence & Reasoning
1 mark

Count the number of triangles in the given figure.

image

  1. A
    12
  2. B
    16
  3. C
    18
  4. D
    10

Solution & Step-by-step Explanation

Let's count the triangles systematically by breaking down the layers of the figure:
1. Innermost Square with Diagonals:
A standard square divided by two intersecting diagonals contains:
* 4 small individual triangles (formed by the intersection of diagonals inside the quadrant zones).
* 4 larger triangles formed by combining two adjacent small triangles along the main diagonal division lines.
* Total in the innermost square = triangles.

2. Intermediate Tilted Square Layer:
The boundaries of the innermost square and the surrounding rotated square (diamond shape) create:
* 4 medium triangles located at the outer corners/edges of the inner square.

3. Outer Square Boundary Layer:
The intermediate tilted square meets the outer square bounding frame to form:
* 4 additional triangles at the external corners of the overall figure.

Adding all these independent sections together:

Practice this question

Try it yourself before checking the explanation above.

Count the number of triangles in the given figure.

image
A
12
B
16
C
18
D
10

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