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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. 
      How many cubes are there in below figure?

    • Options
    • A. 10
    • B. 11
    • C. 12
    • D. 13
    • Discuss
    • 2. 
      Find the question mark ? figure from answer figure.

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 3. Find the number of triangles in the given figure.


    • Options
    • A. 16
    • B. 22
    • C. 28
    • D. 32
    • Discuss
    • 4. 
      Find the question mark ? figure from answer figure.

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. Choose the figure which is different from the rest.

         (1)     (2)     (3)     (4)     (5)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • E. 5
    • Discuss
    • 6. Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.


    • Options
    • A. 123
    • B. 124
    • C. 125
    • D. 235
    • Discuss
    • 7. Find the question mark ? figure from answer figure:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Which answer figure will complete the pattern in the question figure?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. Count the number of triangles and squares in the given figure.


    • Options
    • A. 28 triangles, 10 squares
    • B. 28 triangles, 8 squares
    • C. 32 triangles, 10 squares
    • D. 32 triangles, 8 squares
    • Discuss


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