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Discussion :: Analytical Reasoning

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

    2. A.
    22
    B.
    24
    C.
    26
    D.
    28

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    Answer : Option D

    Explanation :

    The figure may be labelled as shown.

    The simplest triangles are AGH, GFO, LFO, DJK, EKP, PEL and IMN i.e. 7 in number.

    The triangles having two components each are GFL, KEL, AMO, NDP, BHN, CMJ, NEJ and HFM i.e. 8 in number.

    The triangles having three components each are IOE, IFP, BIF and CEI i.e. 4 in number.

    The triangles having four components each are ANE and DMF i.e. 2 in number.

    The triangles having five components each are FCK, BGE and ADL i.e. 3 in number.

    The triangles having six components each are BPF, COE, DHF and AJE i.e. 4 in number.

    Total number of triangles in the figure = 7 + 8 + 4 + 2 + 3 + 4 = 28.

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