Counting Triangles in Figure

CMAT 2024 · Logical Reasoning · Hard · Counting Figures

Find the number of triangles in the given square grid figure with intersecting diagonals and sub-divisions.

  1. A.

    16

  2. B.

    17

  3. C.

    19

  4. D.

    21

Answer

D

Explanation

Counting triangles systematically:

  • Triangles with no internal lines = 6
  • Triangles with 1 line inside = 7
  • Triangles with multiple lines inside = 8 Total triangles = 6+7+8=216 + 7 + 8 = 21.

Hence, Option D is correct.

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