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Question

How many triangles are there in the following figure?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
16

To determine the number of triangles in the given figure, let's analyze it step-by-step:

  1. Identify and count smaller triangles directly visible in each quadrant of the figure.
    • There are 4 quadrants, each containing one smaller triangle. This gives us \(4 \times 1 = 4\) triangles.
  2. Count triangles formed by combining two smaller triangles.
    • There are 8 such combinations in the figure (2 in each quadrant, summing up to \(4 \times 2 = 8\)).
  3. Consider larger triangles formed by combining all smaller triangles within each quadrant.
    • Each quadrant contributes 1 larger triangle, totaling \(4 \times 1 = 4\) such triangles.

Totaling these, we find:

  • Smaller triangles = 4
  • Triangles formed by two smaller triangles = 8
  • Larger triangles in each quadrant = 4

The total number of triangles is then:

\(4 + 8 + 4 = 16\).

Therefore, the correct answer is 16.

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Similar Questions

  1. Find the total number of triangles in the following figure.

  2. How many triangles does this figure have?

  3. Find the number of triangles in the given figure.

  4. Find the number of the triangles in the given figure.

  5. How many pentagons are there in the given figure?

  6. How many squares are there in the given figure?

  7. How many of squares are there in a given illustration?

  8. What is the minimum number of straight lines in the following figure?

  9. Find the minimum number of straight lines in the following figure.

  10. How many triangles are in the following figure?


Important Questions from Figure Counting

  1. How many triangles are there in the given figure?

  2. How many squares are there in the given figure?

  3. How many squares are there in the figure shown below?

  4. How many triangles are there in the given figure?

  5. How many squares are there in the figure shown below?

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