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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. 
      In a solid cube which is made up of 27 small cubes, two opposite sides are painted red, two painted yellow and the other two with white. How many cubes have two colours?

    • Options
    • A. 8
    • B. 12
    • C. 16
    • D. 24
    • Discuss
    • 2. 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
    • 3. Select the alternative in which the specified components of the key figure (X) are found.


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. Choose the set of figures which follows the given rule.

      Rule: As the circle decreases in size, its sectors increase in number.


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. Identify the figure that completes the pattern.

           (X)                 (1)             (2)              (3)             (4)


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. Choose a figure which would most closely resemble the unfolded form of Figure (Z).


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. Select a suitable figure from the four alternatives that would complete the figure matrix.


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a equilateral triangle.


    • Options
    • A. 234
    • B. 123
    • C. 345
    • D. 235
    • Discuss
    • 9. 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
    • 10. Group the given figures into three classes using each figure only once.


    • Options
    • A. 3,4,9 ; 5,7,8 ; 1,2,6
    • B. 1,5,6 ; 2,4,8 ; 3,7,9
    • C. 4,6,8 ; 3,5,7 ; 1,2,9
    • D. 1,2,7 ; 3,5,9 ; 4,6,8
    • Discuss


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