counting figures model question set 2 Detailed Explanation And More Example

MOST IMPORTANT non verbal reasoning - 3 EXERCISES

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The following question based on counting figures topic of non verbal reasoning

Questions :
non verbal reasoning counting figures 4 31

(a) a

(b) b

(c) c

(d) d

The correct answers to the above question in:

Answer: (a)

non-verbal-reasoning-counting-figures

The figure may be labelled as shown

The horizontal lines are DF and BC i.e., 2 in number

The vertical lines are DG, AH and FI i.e., 3 in number

The slanting lines are AB, AC, BF and DC i.e., 4 in number

Thus, there are 2 + 3 + 4 = 9 straight lines in the figure.

Now, we shall count the number of triangles in the figure.

The Simplest triangles are ADE, AEF, DEK, EFK, DJK, FLK, DJB, FLC, BJG and LIC i.e.,10 in number.

The triangles composed of two components each are ADF, AFK, DFK, ADK, DKB, FCK, BKH, KHC, DGB and FIC i.e.,10 in number.

The triangles composed of three components each are DFJ and DFL i.e.,2 in number.

The triangles composed of four components each are ABK, ACK, BFI, CDG, DFB, DFC and BKC i.e.,7 in number.

The triangles composed of six components each are ABH, ACH, ABF, ACD, BFC and CDB i.e.,6 in number.

There is only one triangle i.e., ABC composed of twelve components.

Thus, there are 10 + 10 + 2 + 7 + 6 +1 = 36 triangles in the given figure.

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Read more model question set 2 Based Non Verbal Reasoning Questions and Answers

Question : 1

counting figures analytical reasoning 2 13

a) a

b) b

c) c

d) d

Answer: (c)

counting-figures-analytical-reasoning

Smallest hexagons = KBCMHI, LCDNGH = 2

Largest hexagons = KBDNGI = 1

∴ Total hexagons = 2 + 1 = 3

Question : 2

counting figures analytical reasoning m 13

a) a

b) b

c) c

d) d

Answer: (d)

The figure, in question may be labelled as shown in following figure.

counting-figures-analytical-reasoning

There are 14 squares in the figure, namely

□ABCD,□DCFE,□CGHF,□EFPR,
□FHQP,□HISQ,□RPNO,□PQMN,
□MQSL,□SJKL,□DGQR,□EHMO,
□FILN and□FQNR.  

Question : 3

non verbal reasoning counting figures 4 1

a) a

b) b

c) c

d) d

Answer: (d)

non-verbal-reasoning-counting-figures

The figure may be labelled as shown

The horizontal lines are IK, AB, HG and DC i.e., 4 in number

The vertical lines are AD, EH, JM, FG and BC i.e., 5 in number

The slanting lines are IE, JE, JF, KF, DE, DH, FC and GC i.e., 8 in number

Thus, there are 4 + 5 + 8 = 17 straight lines in the figure.

Question : 4

counting figures analytical reasoning 1 2

a) a

b) b

c) c

d) d

Answer: (d)

counting-figures-analytical-reasoning

Horizontal lines = AB, EF, GH, CD, LM, PQ, ON = 7

Vertical lines = AC, EG, FH, BD, LO, MN = 6

∴ Total number of straight lines = 7 + 6 = 13

Question : 5

counting figures analytical reasoning 2 9

a) a

b) b

c) c

d) d

Answer: (d)

Naming the figure

counting-figures-analytical-reasoning

Names of the squares are

□ABA'X,□DEFB',□C'D'T'S',□D'V'E'T',
□WYP'V,□S'T'W'Q',□T'E'U'W',□G'GHH',
□TO'RS,□M'L'OP,□L'K'NO,□I'JKL,
□ACT'W,□CEGT'□WT'OS,□T'GKO,
□AEKS,□C'V'U'Q',□WZN'U.□ZT'R'N'
□T'F'J'R',□F'GIJ',□UN'QS,□N'R'OQ
□R'J'MO,□J'IKM,□ZF'MQ, 

Hence, there are 27 squares in this figure.

Question : 6

non verbal reasoning counting figures 4 22

a) a

b) b

c) c

d) d

Answer: (d)

non-verbal-reasoning-counting-figures

We may the label the figure as shown

The Simplest triangles are AEI, AIH, BEJ, BJF, CFK, CKG, DGL, DLH, EOJ, FOJ, FOG, LOG, HOL and HOE i.e.,14 in number.

The triangles composed of two components each are EAH, FBE, BEO, EOF, BFO, FCG, GDH, HOD, HOG and GOD i.e.,10 in number.

The triangles composed of three components each are EFH, EHG, FGH and EFG i.e.,4 in number.

Thus, there are 14 + 10 + 4 = 28. triangles in the given figure.

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