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Discussion :: Analytical Reasoning

  1. Find the number of triangles in the given figure.

    2. A.
    15
    B.
    16
    C.
    17
    D.
    18

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    Answer : Option C

    Explanation :

    The figure may be labelled as shown.

    The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number.

    The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number.

    The triangles composed of three components each are BCD, CDE, BED and BCE i.e. 4 in number.

    Thus, there are 8 + 5 + 4 = 17 triangles in the figure.

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