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Discussion :: Analytical Reasoning

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

  2. A.
    20
    B.
    18
    C.
    16
    D.
    15

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    Answer : Option A

    Explanation :

    The figure may be labelled as shown.

    The rectangles composed of two components each are HIJE, EKJ,F, FMNG, GPQH, AEOH, EBFO, OFCG and HOGD i.e. 8 in number.

    The rectangles composed of four components each are ABFH, BCGE, CDHF, DAEG and EFGH i.e. 5 in number.

    The rectangles composed of six components each are IJFG, KLGH, MNHE and PQEF i.e. 4 in number.

    The rectangles composed of eight components each are IJMN, KLPQ and ABCD i.e. 3 in number.

    Thus, there are 8 + 5 + 4 + 3 = 20 rectangles in the given figure.

    (Here note that the squares are also counted amongst rectangles)


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