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- Question
Count the number of triangles and squares in the given figure.
Options- Correct Answer
- 40 triangles, 7 Squares
ExplanationThe figure may be labelled as shown
Triangles :
The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in numberThe triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.
The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.
Total number of triangles in the figure = 18 + 16 + 6 =40.
Squares :
The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in numberThe Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number
Total number of squares in the figure = 3 + 4 =7
- 1.
What is the number of rectangles in the following figure?
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- 3.
Find the number of triangles in the given figure?
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- 4.
Minimum number of straight lines required to form the below figure?
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- 5.
What is the minimum number of colour pencils required to fill the spaces in the below figure with no two adjacent spaces have the same colour?
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Analytical Reasoning problems
Search Results
Correct Answer: 9
Explanation:
The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e 5 in number.
The rectangles composed of two components each are AFJG and FBCL i.e 2 in number
Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components.
Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the given figure.
Correct Answer: 10
Explanation:
The given figure can be labelled as :
The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.
Correct Answer: 14
Explanation:
The given figure can be labelled as shown :
The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.
Correct Answer: 3
Explanation:
The given figure can be labelled as shown :
The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.
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