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Discussion :: Analytical Reasoning

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

    2. A.
    20
    B.
    18
    C.
    16
    D.
    12

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    Answer : Option B

    Explanation :

    The figure may be labelled as shown.

    The simplest ||gms are ABFE, BCGF, CDHG, EFJI, FGKJ and GHLK. These are 6 in number.

    The parallelograms composed of two components each are ACGE, BDHF, EGKI, FHLJ, ABJI, BCKJ and CDLK. Thus, there are 7 such parallelograms.

    The parallelograms composed of three components each are ADHE and EHLI i.e. 2 in number.

    The parallelograms composed of four components each are ACKI and BDLJ i.e. 2 in number

    There is only one parallelogram composed of six components, namely ADLI.

    Thus, there are 6 + 7 + 2 + 2 + 1 = 18 parallelograms in the figure.

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