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Discussion :: Analytical Reasoning

  1. Count the number of rectangles in the given figure.

    2. A.
    8
    B.
    17
    C.
    18
    D.
    20

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    Answer : Option C

    Explanation :

    The figure may be labelled as shown.

    The simplest rectangles are ABQP, PQNO, BCDN, NDEM, MEFL, LFJK, FGHR and RHIJ i.e. 8 in number.

    The rectangles composed of two components each are ABNO, BCEM, NDFL, MEJK and FGIJ i.e. 5 in number.

    The rectangles composed of three components each are ACDO, BCFL, NDJK and LGIK i.e. 4 in number.

    There is only one rectangle i.e. BCJK composed of four components.

    Total number of rectangles in the figure = 8 + 5 + 4 + 1 = 18.

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