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  • Question
  • Determine the number of rectangles and hexagons in the given figure.

    Determine the number of rectangles and hexagons in the given figure. 30, 5 32, 3 28, 5 30, 3 The fig


  • Options
  • A. 30, 5
  • B. 32, 3
  • C. 28, 5
  • D. 30, 3

  • Correct Answer
  • 30, 5 

    Explanation
    The figure may be labelled as shown.

    Determine the number of rectangles and hexagons in the given figure. 30, 5 32, 3 28, 5 30, 3 The fig

    Rectangles:

    The simplest rectangles are CVSR, VETS, RSWM and STKW i.e. 4 in number.

    The rectangles composed of two components each are CETR, VEKW, RTKM and CVWM i.e. 4 in number.

    The rectangles composed of three components each are ACRP, PRMO, EGHT and THIK i.e. 4 in number.

    The rectangles composed of four components each are CEKM, AVSP,PSWO, VGHS and SHIW i.e. 5 in number.

    The rectangles composed of five components each are AETP, PTKO, CGHR and RHIM i.e. 4 in number.

    The rectangles composed of six components each are ACMO and EGIK i.e. 2 in number.

    The rectangles composed of eight components each are AGHP, PHIO, AVWO and VGIW i.e. 4 in number.

    The rectangles composed of ten components each are AEKO and CGIM i.e. 2 in number.

    AGIO is the only rectangle having sixteen components.

    Total number of rectangles in the given figure

    = 4 + 4 + 4 + 5 + 4 + 2 + 4 + 2 + 1 = 30.

    Hexagons:

    The hexagons in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEUKNP and BFHJNP.

    So, there are 5 hexagons in the given figure.

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    More questions

    • 1. 
      Select a suitable figure from the answer figures that would replace the question mark (?) from question figure.

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

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • Discuss
    • 3. Find out how will the key figure (X) look like after rotation.


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. 
      Find the question mark ? figure from answer figure.

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. In each of the following questions which of the answer figures is exactly the mirror image of the question figure when the mirror is held at the given point

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. Find the question mark ? figure from answer figure:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. Find out the answer from the answer figures(1, 2, 3, 4, 5) for the question mark (?) that completes the question figure series:

    • 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. Complete the series of question figures, by selecting correct answer figure from the given answer figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. Find the question mark ? figure from answer figure:

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


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