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- Question
Find the number of triangles in the given figure.
Options- Correct Answer
- 28
ExplanationThe figure may be labelled as shown.
The simplest triangles are ABG, BIG, BIC, CIH, GIH, CDH, HED, GHJ, HJE, FEJ, GFJ and AGF i.e. 12 in number.
The triangles composed of two components each are ABF, CDE, GBC, BCH, GHG, BHG, GHF, GHE, HEF and GEF i.e. 10 in number.
The triangles composed of three components each are ABH, AFH, CDG and GDE i.e. 4 in number.
The triangles composed of four components each are BHF and CGE i.e. 2 in number.
Total number of triangles in the figure = 12 + 10 + 4 + 2 = 28.
More questions
- 5. Find the number of triangles in the given figure.
Options
Discuss
Correct Answer: 18
Explanation:
The figure may be labelled as shown.
The simplest triangles are BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK and KNJ i.e. 10 in number.
The triangles composed of three components each are FAK and HKD i.e. 2 in number.
The triangles composed of four components each are BEN, CMI, GLJ and FHK i.e. 4 in number.
The triangles composed of eight components each are BAJ and OLD i.e. 2 in number.
Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure.
- 7. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.
Problem Figures: Answer Figures:
(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 5
Explanation:
In each step, all the elements move to the adjacent corner (of the square boundary) in an ACW direction. Also, the elements that reach the lower-right and upper-left positions get vertically inverted alternately.- 8. How many circles are there in the adjoining figure.
Options
Discuss
Correct Answer: 13
Explanation:
The figure may be labelled as shown.
There are 13 circles in the given figure. This is clear from the adjoining figure in which the centres of all the circles in the given figure have been numbered from 1 to 13.
Comments
- 5. Find the number of triangles in the given figure.
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