Non Verbal Reasoning - Analytical Reasoning - Discussion

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

Find the number of triangles in the given figure.

12
18
22
26
Answer: Option
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.

Discussion:
32 comments Page 2 of 4.

Azhar said:   1 decade ago
By using count only, we can find out the answers for this type of problems.
(1)

Karthik said:   9 years ago
How this way is possible?

No of nodes + 2 * No of inner nodes.

Ca anyone explain it?

Sharad Bhatta said:   7 years ago
I don't understand the concept of the triangle components.

Please, anybody, give me some ideas.

Ritika said:   7 years ago
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.

Akter ali said:   7 years ago
The simple triangle means forming with 3 letters.

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

Anonymus said:   8 years ago
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.

Pratham Verma said:   8 years ago
Count by nodes 2Rupesh.

Jitesh said:   9 years ago
Please anyone tell me the Short trick for solving the problem.

Jaisun said:   9 years ago
Will the formula is given above be applicable for all triangle based sums? Please tell me, I need help.

Sri said:   1 decade ago
Is there any shortcut for counting number of triangle?


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