counting figures model question set 2 Detailed Explanation And More Example
MOST IMPORTANT non verbal reasoning - 3 EXERCISES
The following question based on counting figures topic of non verbal reasoning
![counting figures analytical reasoning 2 9](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-2-9.png)
(a) a
(b) b
(c) c
(d) d
The correct answers to the above question in:
Answer: (d)
Naming the figure
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.
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Read more model question set 2 Based Non Verbal Reasoning Questions and Answers
Question : 1
![counting figures analytical reasoning 1 2](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-1-2.png)
a) a
b) b
c) c
d) d
Answer »Answer: (d)
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 : 2
![non verbal reasoning counting figures 4 31](https://careericons.com/adminicon/bunch/images/non-verbal-reasoning-counting-figures-4-31.png)
a) a
b) b
c) c
d) d
Answer »Answer: (a)
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.
Question : 3
![counting figures analytical reasoning 2 13](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-2-13.png)
a) a
b) b
c) c
d) d
Answer »Answer: (c)
Smallest hexagons = KBCMHI, LCDNGH = 2
Largest hexagons = KBDNGI = 1
∴ Total hexagons = 2 + 1 = 3
Question : 4
![non verbal reasoning counting figures 4 22](https://careericons.com/adminicon/bunch/images/non-verbal-reasoning-counting-figures-4-22.png)
a) a
b) b
c) c
d) d
Answer »Answer: (d)
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.
Question : 5
![counting figures analytical reasoning 1 9](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-1-9.png)
a) a
b) b
c) c
d) d
Answer »Answer: (c)
Given figure can be labelled as follows
In the above figure, triangles formed by single units are ΔABE, ΔAEO, ΔAOF, ΔAFC, ΔDEB, ΔDOE, ΔDFO and ΔDCF i.e., 8 triangles.
Triangles formed by Combining 2 units are ΔABO, ΔAEF, ΔAOC, ΔBOD, ΔDEF, ΔDOC, ΔAED and ΔADF i.e., 8 triangles.
Triangles formed by Combining 3 units are ΔABF, ΔAEC, ΔBDF and ΔEDC i.e., 4 triangles.
Triangles formed by Combining 4 units are ΔABC, ΔBCD, ΔABD and ΔACD i.e., 4 triangles.
∴ Total number of Triangles = 8 + 8 + 4 + 4 = 24
Question : 6
![counting figures analytical reasoning 3 6](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-3-6.png)
a) a
b) b
c) c
d) d
Answer »Answer: (c)
We shall join the centres of all the circles by horizontal and vertical lines and then label the resulting figure as shown.
The simplest squares are ABED, BCFE, DEHG, EFIH, GHKJ and HILK i.e., 6 in number.
The squares composed of four simple squares are ACIG and DFLJ i.e., 2 in number.
Thus, 6 + 2 = 8 squares will be formed.
GET counting figures PRACTICE TEST EXERCISES
counting figures model question set 1
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