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  • Question
  • Count the number of triangles and squares in the given figure.

    Count the number of triangles and squares in the given figure. 36 triangles, 7 squares 38 triangles,


  • Options
  • A. 36 triangles, 7 squares
  • B. 38 triangles, 9 squares
  • C. 40 triangles, 7 squares
  • D. 42 triangles, 9 squares

  • Correct Answer
  • 40 triangles, 7 squares 

    Explanation
    The figure may be labelled as shown.

    Count the number of triangles and squares in the given figure. 36 triangles, 7 squares 38 triangles,

    Triangles:

    The simplest triangles are BGM, GHM, HAM, ABM, GIN, UN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e. 18 in number.

    The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ, LJI, LKD, KDE, DEL and ELK i.e. 16 in number.

    The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e. 6 in number.

    Total number of triangles in the figure = 18 +16 + 6 = 40.

    Squares :

    The squares composed of two components each are MGNH, NIOJ and OKPL i.e. 3 in number.

    The squares composed of four components each are BGHA, GIJH, IKLJ and KDEL i.e. 4 in number.

    Total number of squares in the figure = 3 + 4 = 7.


    More questions

    • 1. Find the missing figure of the series from the given responses:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      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
    • 3. 
      Two positions of a dice are shown below. When the heart shape is at the top, what will be at the bottom?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. Select the one which is different from the other three responses

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

      When a mirror is placed on the line AB, then which right image of the given figure?


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. none
    • Discuss
    • 6. What will come in place of?:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 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
    • 8. 
      Choose a figure which would most closely resemble the unfolded form of Figure (3).

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • 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. Find out the alternative figure which contains figure (X) as its part.

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


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


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