Non Verbal Reasoning - Analytical Reasoning - Discussion

Discussion :: Analytical Reasoning - Section 1 (Q.No.4)

4. 

Find the number of triangles in the given figure.

[A]. 12
[B]. 18
[C]. 22
[D]. 26

Answer: Option B

Explanation:

The figure may be labelled as shown.

The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE i.e. 8 in number.

The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE i.e. 5 in number.

The triangles composed of three components each are FHE, GCE and BED i.e. 3 in number.

There is only one triangle i.e. AGC composed of four components.

There is only one triangle i.e. AFD composed of nine components.

Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.


Ishan said: (Sep 4, 2012)  
Is there any technique available to solve this problem using permutation and combination method?if its there then such type of problem can be easily solve.

Gopal said: (Oct 6, 2012)  
Is there any shortcut or any formula to solve such problems !

Aditya Raj said: (Oct 17, 2012)  
Any shortcut method for count this figure triangle?

Deepak Singh said: (Oct 18, 2012)  
Is there any short tricks for these type of problems?, please tell me.

SIRAJ said: (Dec 30, 2012)  
Is there any short tricks for these type of problems?

Azhar said: (Jun 14, 2013)  
By using count only, we can find out the answers for this type of problems.

Sri said: (Dec 25, 2013)  
Is there any shortcut for counting number of triangle?

Midhun Kumar said: (Dec 28, 2013)  
No short cuts are available till now, we have to solve by ourselves.

Prakash said: (Apr 16, 2014)  
Is there any shortcut for these problems to solve?

Prathap said: (Apr 30, 2014)  
These kind of problems are a kind of dynamic ones hence dealing with formulae can't happen at ease.

Dharshan said: (May 17, 2014)  
Is there any formulas to calculate the problem?

Zarish said: (Jul 24, 2014)  
What is meant by components ?

Swetha said: (Oct 19, 2014)  
@Zarish Components refers to sides of the triangle.

Tejal Ganatra said: (Feb 9, 2015)  
Is there any trick to solve such problems?

Cosu Bardeskar said: (Feb 27, 2015)  
Is there any trick to solve this type of problems.

Balaganesh Akasapu said: (May 14, 2015)  
Fortunately yes, we can use the concept of combinations to crack the problem with no time.

Revanth said: (May 28, 2015)  
I need some shortcut way to solve this. Can anyone suggest me?

Pawan said: (Jun 30, 2015)  
Tell the time saving trick, the above process is time consuming.

Shashikant Kumar said: (Aug 15, 2015)  
The figure shows a triangle with many lines. If the number of internal lines from vertex E=4, and the number of internal lines parallel to base is 2, then [4 X 2 X (2+1)]/2 = 12 and then add the rest small triangle at side and the main large triangle, you will get 18.

Karthik said: (Apr 26, 2016)  
How this way is possible?

No of nodes + 2 * No of inner nodes.

Ca anyone explain it?

Jaisun said: (Jun 5, 2016)  
Will the formula is given above be applicable for all triangle based sums? Please tell me, I need help.

Jitesh said: (Jul 17, 2016)  
Please anyone tell me the Short trick for solving the problem.

Rupesh Singh said: (Jul 28, 2016)  
Is there any other way to solve it easily.

Pratham Verma said: (Dec 25, 2016)  
Count by nodes 2Rupesh.

Himanshu Tomar said: (Feb 2, 2017)  
Is there any short trick to find the answer?

Anonymus said: (Jun 8, 2017)  
The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE which equals 8 in number.
The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE = 5 in number.

The triangles composed of three components each are FHE, GCE and BED which are 3 in number.

There is only one triangle i.e. AGC composed of four components.

There is only one triangle i.e. AFD composed of nine components(sides of triangles.

Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.

Mansi Sahu said: (Apr 14, 2018)  
I don't understand the proper meaning of components, please anybody can explain me clearly?

Akter Ali said: (Jun 30, 2018)  
The simple triangle means forming with 3 letters.

Two components forming with 4 letters.
Three components forming with 5 letters.

Ritika said: (Aug 17, 2018)  
I don't think so, that two components forming with 4 letters as HBE &BEC both are two components triangle but HBE made with 5 letters and BEC made with 4 letters.

Sharad Bhatta said: (Sep 14, 2018)  
I don't understand the concept of the triangle components.

Please, anybody, give me some ideas.

Rit said: (Dec 15, 2019)  
Total no nodes (8) + 2 * (5) inner nodes (h, b, g, c, e) = 18.

JIYA said: (Oct 9, 2020)  
Please anyone tell me the correct way to solve this.

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