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English and Logical Reasoning Prep GuideLogical ReasoningCounting of Figures

How many triangles are there in the given figure?

Options

  1. A40 or more
  2. B16
  3. C18
  4. D28

Correct answer

A. 40 or more

Step-by-step solution

First of all take one block and count the number of triangles: The triangles are : IAB; IJB; IAH; IHJ; AHB ; ABJ ; AHJ ; BJH ; There are four such blocks. Therefore, the number of simple triangles =4 8=32 Now, count the composite triangles: △ JAC; JAG; JCE; JGE; BHD ; DBF ; FDH ; HBF ; △ AGE; CEG; CAE; AGC; Thus, there are more than 40 triangles.

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