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Discussion :: Analytical Reasoning

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

    2. A.
    10
    B.
    12
    C.
    14
    D.
    16

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    Answer : Option C

    Explanation :

    The figure may be labelled as shown.

    The simplest triangles are ABJ, ACJ, BDH, DHF, CIE and GIE i.e. 6 in number.

    The triangles composed of two components each are ABC, BDF, CEG, BHJ, JHK, JKI and CJI i.e. 7 in number.

    There is only one triangle JHI which is composed of four components.

    Thus, there are 6 + 7 + 1 = 14 triangles in the given figure.

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