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Home Non Verbal Reasoning Analytical Reasoning See What Others Are Saying!
  • 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, IJN, 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, IKJL and KDEL i.e 4 in number

     

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




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