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.

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 3 of 4.
Karthik said:
1 decade ago
How this way is possible?
No of nodes + 2 * No of inner nodes.
Ca anyone explain it?
No of nodes + 2 * No of inner nodes.
Ca anyone explain it?
Jaisun said:
10 years ago
Will the formula is given above be applicable for all triangle based sums? Please tell me, I need help.
Jitesh said:
10 years ago
Please anyone tell me the Short trick for solving the problem.
Revanth said:
1 decade ago
I need some shortcut way to solve this. Can anyone suggest me?
Pratham Verma said:
9 years ago
Count by nodes 2Rupesh.
Balaganesh akasapu said:
1 decade ago
Fortunately yes, we can use the concept of combinations to crack the problem with no time.
Anonymus said:
9 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.
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.
Cosu bardeskar said:
1 decade ago
Is there any trick to solve this type of problems.
Tejal ganatra said:
1 decade ago
Is there any trick to solve such problems?
Ritika said:
8 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.
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