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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. 21 triangles, 7 squares 18 triangles,


  • Options
  • A. 21 triangles, 7 squares
  • B. 18 triangles, 8 squares
  • C. 20 triangles, 8 squares
  • D. 22 triangles, 7 squares

  • Correct Answer
  • 21 triangles, 7 squares 

    Explanation
    The figure may be labelled as shown.

    Count the number of triangles and squares in the given figure. 21 triangles, 7 squares 18 triangles,

    Triangles :

    The simplest triangles are BPN, PNE, ABM, EFG, MLK, GHI, QRO, RSO, STO and QTO i.e. 10 in number.

    The triangles composed of two components each are BPE, TQR, QRS, RST and STQ i.e. 5 in number.

    The triangles composed of three components each are MPO and GPO i.e. 2 in number.

    The triangles composed of six components each are LPJ, HPJ and MPG i.e. 3 in number.

    There is only one triangle LPH composed of twelve components.

    Total number of triangles in the figure = 10 + 5 - 2 + 3 + 1 = 21.

    Squares :

    The squares composed of two components each are KJOM and JIGQ i.e. 2 in number.

    The squares composed of three components each are ANOM, NFGO and CDEB i.e.3 in number.

    There is only one square i.e. QRST composed of four components.

    There is only one square i.e. AFIK composed of ten components.

    Total number of squares in the figure = 2 + 3 + 1 + 1 = 7.


    More questions

    • 1. Identify the figure that completes the pattern.

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


    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. A dice is numbered from 1 to 6 in different ways.

      If 1 is opposite to 2 and adjacent to 3 and 4, then which of the following statements is necessarily true?


    • Options
    • A. 2 is adjacent to 6
    • B. 3 is adjacent to 4
    • C. 4 is opposite to 6
    • D. 3 is opposite to 5
    • Discuss
    • 3. 
      Find the question mark ? figure from answer figure.

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

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • 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. Find out the next series from the answer figures (1, 2, 3, 4, 5) that follows the sequence of the questions figures:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 

      Select the lateral mirror image of TEETH from the given option figures?


    • Options
    • A. C
    • B. D
    • C. A
    • D. B
    • Discuss
    • 8. Identify the figure that completes the pattern.

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


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

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


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

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


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


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