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  • Question
  • Count the number of parallelogram in the given figure.

    Count the number of parallelogram in the given figure. 20 18 16 12 The figure may be labelled as sho


  • Options
  • A. 20
  • B. 18
  • C. 16
  • D. 12

  • Correct Answer
  • 18 

    Explanation
    The figure may be labelled as shown.

    Count the number of parallelogram in the given figure. 20 18 16 12 The figure may be labelled as sho

    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.


    More questions

    • 1. 
      Choose the correct figure to complete the matrix.

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • Discuss
    • 2. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 3. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. 
      REASONING

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    • A. .
    • B. .
    • C. .
    • D. .
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    • 6. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      P1PA2PU

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    • A. .
    • B. .
    • C. .
    • D. .
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    • 9. 
      MISSISSIPPI

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    • A. .
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    • C. .
    • D. .
    • Discuss
    • 10. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss


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