How many squares and triangles are there in the following figure?

2 squares, 16 triangles
3 squares, 14 triangles
3 squares, 16 triangles
3 squares. 18 triangles

The correct answer is (c) 3 squares, 16 triangles.

There are 3 squares in the figure:

  • The large square in the center.
  • The smaller square that is part of the large square.
  • The square that is made up of the 4 triangles in the upper left corner.

There are 16 triangles in the figure:

  • The 4 triangles in the upper left corner.
  • The 4 triangles in the upper right corner.
  • The 4 triangles in the lower left corner.
  • The 4 triangles in the lower right corner.

The other options are incorrect because they either have the wrong number of squares or the wrong number of triangles.

Option (a) has 2 squares and 16 triangles. This is incorrect because there are 3 squares in the figure.

Option (b) has 3 squares and 14 triangles. This is incorrect because there are 16 triangles in the figure.

Option (d) has 3 squares and 18 triangles. This is incorrect because there are only 16 triangles in the figure.

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