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Discussion :: Analytical Reasoning

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

    2. A.
    11
    B.
    13
    C.
    15
    D.
    17

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    Answer : Option C

    Explanation :

    The figure may be labelled as shown.

    The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG i.e. 8 in number.

    The triangles composed of two components each are AKL, ADJ, AJB and DBC i.e. 4 in number.

    The triangles composed of the three components each are ADC and ABC i.e. 2 in number.

    There is only one triangle i.e. ADB composed of four components.

    Thus, there are 8+ 4 + 2 + 1= 15 triangles in the figure.

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