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Question

How many squares 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
34

To find the total number of squares in the given figure, we need to identify all the possible squares of different sizes within the grid. The grid appears to be composed of a series of smaller squares.

Let's calculate the number of squares step-by-step:

  1. Count the smallest squares (1x1):
    • There are 16 (1x1) squares in the central part of the grid.
    • Additionally, there are 8 more (1x1) squares in the projections on the top and bottom.
    • Therefore, there are 16 + 8 = 24 small squares.
  2. Count the medium squares (2x2):
    • Inside the main grid, 2x2 squares can be formed by combining four (1x1) squares.
    • You can have 6 such (2x2) squares in the central part of the figure.
  3. Count the larger squares (3x3):
    • You can form 3x3 squares by combining nine (1x1) squares.
    • There are 2 such (3x3) square possible in the grid.
  4. Add all types of squares together:
    • Total number of squares = 24 (1x1) + 6 (2x2) + 4 (3x3) = 34 squares.

Thus, the total number of squares in the given figure is 34.

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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 triangles are there in the following figure?

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

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

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

  10. Find the minimum number of straight lines 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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