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Discussion :: Analytical Reasoning

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

    2. A.
    23
    B.
    22
    C.
    21
    D.
    18

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    Answer : Option A

    Explanation :

    The figure may be labelled as shown.

    The simplest parallelograms are EMLA and NIDJ i.e. 2 in number.

    The parallelograms composed of two components each are BFMG, CGNH, GMKN, FGME, GHNM, MNKL, FGNM, GHIN and MNJK i.e. 9 in number.

    The parallelograms composed of three components each are FGLA, ENKA, GHDJ and MIDK ie. 4 in number.

    The parallelograms composed of four components each are FGJK, GHKL, FBNK, CHKM, EFHN and MFHI i.e. 6 in number.

    The parallelograms composed of seven components each are FHKA and FHDK i.e. 2 in number.

    Total number of parallelograms in the figure = 2 + 9 + 4 + 6 + 2 = 23.

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