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Discussion :: Analytical Reasoning

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

    2. A.
    16
    B.
    13
    C.
    9
    D.
    7

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    Answer : Option A

    Explanation :

    The figure may be labelled as shown.

    The simplest triangles are AGE, EGC, GFC, BGF, DGB and ADG i.e. 6 in number.

    The triangles composed of two components each are AGC, BGC and ABG i.e. 3 in number.

    The triangles composed of three components each are AFC, BEC, BDC, ABF, ABE and DAC i.e. 6 in number.

    There is only one triangle i.e. ABC composed of six components.

    Thus, there are 6 + 3 + 6 + 1 = 16 triangles in the given figure.

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