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How many squares can you count in the given figure?

image

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

Let's systematically count the squares present in this symmetrical overlapping layout:
1. Central Matrix Squares:
* The core internal grid forms a standard square block layout.
* Number of individual small squares in a grid
* Number of combined large squares
* Total squares from the central structure

2. Rotated Overlapping Outer Squares:
* Superimposed at a angle over the main grid, there are outstanding outer square boxes visible on the corners/edges.
* Counting these distinct tilted square protrusions along the boundary gives exactly individual outer squares.

3. Intermediate/Intersection Squares:
* Looking closely at the interior intersection regions where the straight lines cross, there are additional medium-sized square boxes formed. Counting these sub-divided squares yields another clear squares.

Summing all the uniquely identified square segments together:



Thus, there are squares in the figure.

Practice this question

Try it yourself before checking the explanation above.

How many squares can you count in the given figure?

image
A
B
C
D

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