counting figures model question set 3 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 5](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-2-5.png)
(a) a
(b) b
(c) c
(d) d
The correct answers to the above question in:
Answer: (a)
There are a total of 19 squares in the figure, which have been marked as shown in the following figure.
There are three suqares in the upper row □EFIH, □FGJI, □GBLJ.
There are five suqares in the middle row namely □TQRS, □QHPR, □HIOP, □IJNO, □JLMN
There are three suqares in the lower row namely □SRUD, □RPVU, □POWV
By combining two upper rows there are three suqares namely □AEPS, □EGNP, □FBMO.
By combining two lower rows there are three suqares namely □ THVD, □ QIWU, □ ILCW
From all the three rows combined together there are two suqres namely □ AFWD and □ EBCV
∴Total number of squares = 3 + 5 + 3 + 3 + 3 + 2 = 19
Discuss Form
Read more model question set 3 Based Non Verbal Reasoning Questions and Answers
Question : 1
![counting figures analytical reasoning m 18](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-m-18.png)
a) a
b) b
c) c
d) d
Answer »Answer: (a)
The figure, in question has been labelled at different points as shown in the following figure
From the above diagram parallelograms are as follow
i) Parallelograms from the outer figure = ▱ABCD, ▱AIJD, ▱GBCH, ▱ADHG, ▱GHJI, ▱IJCB = 6
ii) Parallelograms from the upper half of the figure = ▱AGKE, ▱GILK, ▱IBFL, ▱AILE, ▱GBFK, ▱ABFE = 6
iii) Parallelograms from the lower half of the figure = ▱EKHD, ▱KLJH, ▱LFCJ, ▱KFCH, ▱ELJD, ▱EFCD = 6
∴ there are a total of 18 parallelograms in the figure.
Shortcut Method
Number of parallelograms = (3 + 2 + 1) × (2 + 1)
[∵ C = 3, R = 2]
= 6 × 3 = 18
Question : 2
![non verbal reasoning counting figures 4 28](https://careericons.com/adminicon/bunch/images/non-verbal-reasoning-counting-figures-4-28.png)
a) a
b) b
c) c
d) d
Answer »Answer: (d)
The figure may be labelled as shown
The Simplest triangles are AHL, LHG, GHM, HMB, GMF, BMF, BIF, CIF, FNC, CNJ, FNE, NEJ, EKJ and JKD i.e.,14 in number.
The triangles composed of two components each are AGH, BHG, HBF, BFG, HFG, BCF, CJF, CJE, JEF, CFE and JED i.e.,11 in number.
The triangles composed of four components each are ABG, CBG, BCE and CED i.e.,4 in number.
∴ Total number of triangles in the given figure = 14 + 11 + 4 = 29.
Question : 3
![counting figures analytical reasoning m 9](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-m-9.png)
a) a
b) b
c) c
d) d
Answer »Answer: (b)
From the figure, it is clear that there are 9 triangles in the upper half of the figure ABFE, namely ΔPEM, ΔPGI, ΔAEI, ΔEIN, ΔIKQ, ΔQOF, ΔIBF, ΔINF and ΔIEF.
Likewise, there are 9 triangles in the lower half EFCD of the main figure.
There are more triangles ΔEPR, ΔEIJ, ΔIFJ and ΔQFS.
Hence, there are a total of 22 triangles in the figure.
Question : 4
![non verbal reasoning counting figures 4 21](https://careericons.com/adminicon/bunch/images/non-verbal-reasoning-counting-figures-4-21.png)
a) a
b) b
c) c
d) d
Answer »Answer: (c)
We may the label the figure as shown
The Simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e., 6 in number.
The triangles composed of two components each are ABE, ABC, BCE and ACE i.e., 4 in number.
Thus, there are 6 + 4 = 10. triangles in the given figure.
Question : 5
![non verbal reasoning counting figures 4 5](https://careericons.com/adminicon/bunch/images/non-verbal-reasoning-counting-figures-4-5.png)
a) a
b) b
c) c
d) d
Answer »Answer: (c)
We may the label the figure as shown
The Simplest triangles are ADE,BDF, DEF and EFC i.e., 4 in number
There is only one triangle ABC composed of four components.
Thus, there are 4 + 1 = 5 triangles in the given figure.
Question : 6
![counting figures analytical reasoning 1 11](https://careericons.com/adminicon/bunch/images/counting-figures-analytical-reasoning-1-11.png)
a) a
b) b
c) c
d) d
Answer »Answer: (b)
The figure in question has been labelled as shown in the following figure
Smallest Triangles = ΔAEF, ΔEPR, ΔFSQ, ΔPRD, ΔRSD, ΔSQD = 6
Single Triangles = ΔPBD, ΔQDC, ΔEFD = 3
Triangles formed with two triangles = ΔPSD, ΔRQD, ΔFDQ, ΔEDP = 4
Triangles formed with three or four triangles = ΔAPQ, ΔFDC, ΔBDE, ΔPQD = 4
Largest Triangles = ΔABC = 1
∴ Total Triangles = 6 + 3 + 4 + 4 + 1 =18
GET counting figures PRACTICE TEST EXERCISES
counting figures model question set 1
counting figures model question set 2
counting figures model question set 3
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