Counting of Figures - Basic Level
Practice and master this topic with our carefully crafted questions.
Learn the basics of counting figures with easy and concept-building questions. Practice counting lines, triangles, squares, rectangles and other common shapes.
Find the minimum number of straight lines required to make the given figure.
🔍 Analyze the Pattern
To find the minimum number of straight lines required to make the given figure, count each complete straight line only once.
On carefully observing the labelled figure, the straight lines are:
IK, AB, HG and DC = 4 straight lines
AD, EH, JM, FG and BC = 5 straight lines
IE, JE, JF, KF, DE, DH, FC and GC = 8 straight lines
Therefore, the total number of straight lines is:
4 + 5 + 8 = 17
Hence, the minimum number of straight lines required to make the given figure is 17.
Correct Answer: Option (B)
Find the minimum number of straight lines required to make the given figure.
🔍 Analyze the Pattern
AK, BJ, CI, DH and EG = 5 straight lines
AE, LF and KG = 3 straight lines
LC, CF, FI, LI, EK and AG = 6 straight lines
Therefore, the total number of straight lines is:
5 + 3 + 6 = 14
Hence, the minimum number of straight lines required to make the given figure is 14.
Correct Answer: Option (B)
Find the minimum number of straight lines required to make the given figure.
🔍 Analyze the Pattern
To find the minimum number of straight lines required to make the given figure, count each complete straight line only once.
DE, FH, IL, BC , AC, DO, FN, IM, AB, EM and HN = 11 straight lines
So, there are 11 straight lines in the figure above.
Correct Answer: Option (B)
Find the minimum number of straight lines required to make the given figure.
🔍 Analyze the Pattern
To find the minimum number of straight lines required to make the given figure, count each complete straight line only once.
IJ, AB, EF, MN, HG, DC, LK, AD, EH, IL, FG, BC and JK = 13 straight lines
So, there are 13 straight lines in the figure above.
Correct Answer: Option (A)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangle.
On carefully observing the labelled figure:
- 3 upright triangles: ADE, BDF and EFC
- 1 inverted triangle: DEF
- 1 large triangle: ABC
Thus, the triangles are:
ADE, BDF, EFC, DEF and ABC
Therefore, the total number of triangles is:
3 + 1 + 1 = 5
So, the above figure has 5 triangles.
Correct Answer: Option (B)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangles.
On carefully observing the figure:
- 5 small triangles (AJF, FBG, GCH, HDI, IEJ) are formed at the five points of the star.
- 5 larger triangles (EBH, AIC, EFC, ADG, BJD ) are formed by combining different parts of the star.
Thus, the triangles are:
AJF, FBG, GCH, HDI, IEJ, EBH, AIC, EFC, ADG and BJD
Therefore, the total number of triangles is:
5 + 5 = 10
So, the above figure has 10 triangles.
Correct Answer: Option (D)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangles.
On carefully observing the labelled figure:
The triangles formed in the figure are:
ADG, AEG, BFG, CFG, BDG, CEG, ABG, ACG, BCG, ABC, ABE, ACD, ABF, ACF, BCD and BCE
Therefore, the total number of triangles is:
Total triangles = 16
So, the above figure has 16 triangles.
Correct Answer: Option (A)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangles.
On carefully observing the labelled figure:
The triangles formed in the figure are:
ABE, ABF, ABG, AEF, AEG, BCD, BCE, BCG, BDE, BEG, BFG, CDE, CDG, CGH, DEG, DGH and EFG
Therefore, the total number of triangles is:
Total triangles = 17
So, the above figure has 17 triangles.
Correct Answer: Option (C)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangles.
On carefully observing the labelled figure:
The triangles formed in the figure are:
AEH, EHI, EBF, EFI, FGC, IFG, DGH, HIG, HEF, EFG, HFG, EFG
Therefore, the total number of triangles is:
Total triangles = 12
So, the above figure has 12 triangles.
Correct Answer: Option (C)
Find the number of triangles in the given figure.
🔍 Analyze the Pattern
Count the triangles systematically, starting with the smaller triangles and then moving to the larger triangles.
On carefully observing the labelled figure:
The triangles formed in the figure are:
AFB, FEE, EEC, DEC, DFE, AFD, AEB, FBC, DFC, ADE, DBE, ABD, ADC, ABC, DBC
Therefore, the total number of triangles is:
Total triangles = 15
So, the above figure has 15 triangles.
Correct Answer: Option (C)