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    Question

    Count the number of squares in the given figure.

    A

    10

    B

    11

    C

    12

    D

    13

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    Analytical Reasoning Section 2

    This is the non verbal reasoning questions and answers section on "Analytical Reasoning Section 2" with explanation for various interview, competitive examination and entrance test. Solved examples with detailed answer description, explanation are given and it would be easy to understand.

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    Non Verbal Reasoning :: Analytical Reasoning

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    Exercise :: Analytical Reasoning - Section 2

    Analytical Reasoning - Section 1

    Analytical Reasoning - Section 2

    1.

    Count the number of squares in the given figure.

    A. 32 B. 30 C. 29 D. 28

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    2.

    Find the number of quadrilaterals in the given figure.

    A. 6 B. 7 C. 9 D. 11

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    3.

    Count the number of squares in the given figure.

    A. 8 B. 12 C. 15 D. 18

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    4.

    What is the minimum number of colours required to fill the spaces in the given diagram without any two adjacent spaces having the same colour?

    A. 6 B. 5 C. 4 D. 3

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    5.

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

    A. 36 triangles, 7 squares

    B. 38 triangles, 9 squares

    C. 40 triangles, 7 squares

    D. 42 triangles, 9 squares

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    Counting number of squares in the given figure

    Math Tricks to Count the number of squares in the given figure. Puzzles based on counting the number of squares in the given figure.

    Counting

    @ : Home > Counting > Squares in a given figure

    Counting Squares

    Q1) Count the number of squares in the given figure

    1) 28

    2) 293) 304) 32Solution:

    The figure may be labelled as shown.

    The simplest squares are ABGF, BCHG, CDIH, DEJI, FGLK, GHML, HINM, IJON, KLQP, LMRQ, MNSR, NOTS, PQVU, QRWV, RSXW and STYX i.e. 16 in number.

    The squares composed of four components each are ACMK, BDNL, CEOM, FHRP, GISQ, HJTR, KMWU, LNXV and MOYW i.e. 9 in number.

    The squares composed of nine components each are ADSP, BETQ, FIXU and GJYV i.e. 4 in number.

    There is one square AEYU composed of sixteen components.

    There are 16 + 9 + 4 + 1 = 30 squares in the given figure.

    Q2) Count the number of squares in the given figure

    1) 8

    2) 123) 154) 18Solution:

    The figure may be labelled as shown.

    The simplest squares are QUYX, URVY, YVSW and XYWT i.e. 4 in number.

    The squares composed of two components each are IMYP, MJNY, YNKO and PYOL i.e. 4 in number.

    The squares composed of three components each are AEYH, EBFY, YFCG and HYGD i.e. 4 in number.

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

    There is only one square i.e. IJKL composed of eight components.

    There is only one square i.e. ABCD composed of twelve components.

    Total number of squares in the given figure = 4 + 4 + 4 + 1 + 1 + 1 = 15.

    Read More: Questions on Counting number of Triangles

    Download: Practice Questions on Counting Geometrical Figures

    Q3) Count the number of squares in the given figure

    1) 11

    2) 213) 244) 26Solution:

    The figure may be labelled as shown.

    The squares composed of two components each are BNQM, CORN, DPSO, MQTL, NRUQ, OSVR, PFWS, QUJT, RVIU and SWHV i.e. 10 in number.

    The squares composed of four components each are ABQL, BCRQ, CDSR, DEFS, LQJK, QRIJ, RSHI and SFGH i.e. 8 in number.

    The squares composed of eight components each are BRJL, CSIQ and DFHR i.e. 3 in number.

    The squares composed of sixteen components each are ACIK, BDHJ and CEGI i.e. 3 in number.

    Thus, there are 10 + 8 + 3 + 3 = 24 squares in the figure.

    Q4) Count the number of squares in the given figure

    1) 14

    2) 183) 204) 22Solution:

    The figure may be labelled as shown.

    The squares composed of two components each are BJMI, CKMJ, DLMK and AIML i.e. 4 in number.

    The squares composed of three components each are EBMA, BFCM, MCGD and AMDH i.e. 4 in number.

    The squares composed of four components each are VWBA, XYCB, ZA1DC and B1C1AD i.e. 4 in number.

    The squares composed of seven components each are NOJL, PQKI, RSLJ and TUIK i.e. 4 in number.

    There is only one square i.e. ABCD composed of eight components.

    There is only one square i.e. EFGH composed of twelve components.

    Total number of squares in the figure = 4 + 4 + 4 + 4 + 1 + 1 = 18.

    Read More: Questions on Counting number of Rectangles

    Read More: Shortcuts for Geometrical Patterns

    Q5) Count the number of squares in the given figure

    1) 18

    2) 193) 254) 27Solution:

    The figure may be labelled as shown.

    The simplest squares are EFRQ, MQYX, QRZY, RNSZ, LXWK, XYA1W, YZB1A1, ZSTB1, SGHT, WA1VP, A1B1UV, B1TOU and VUIJ i.e. 13 in number.

    The squares having two components each are AEYL, FBGZ, KA1JD and B1HCI i.e. 4 in number.

    The squares having four components each are MRB1W, QNTA1, XZUP and YSOV i.e. 4 in number.

    The squares having seven components each are AFB1K, EBHA1 LZID and YGCJ i.e. 4 in number.

    There is only one square i.e. MNOP composed of nine components.

    There is only one square i.e. ABCD composed of seventeen components.

    There are 13 + 4 + 4 + 4 + 1 + 1 = 27 squares in the figure.

    Q6) Count the number of squares in the given figure

    1) 6

    2) 73) 94) 10Solution:

    The figure may be labelled as shown.

    The squares composed of two components each are ABKJ, BCLK, CDEL, LEFG, KLGH and JKHI i.e.6 in number.

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

    The squares composed of eight components each are ACGI and BDFH i.e. 2 in number.

    There are 6 + 1 + 2 = 9 squares in the figure.

    Read More: Questions on Counting number of Parallelograms

    Q7) Count the number of squares in the given figure

    1) 13

    2) 163) 194) 20Solution:

    The figure may be labelled as shown.

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