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 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:
ABC, ABD, ABJ, ACD, ADJ, AEJ, AFJ, BCD, BCJ, BFG, BFJ, BFK, BGJ, BGK, CDJ, CGJ, CHJ, DEH, DEI, DEJ, DHI, DHJ, EHJ, EIJ, FGJ, FJK, GJK and HIJ
Therefore, the total number of triangles is:
Total triangles = 28
So, the above figure has 28 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:
APQ, AEQ, QTU, QRU, BGS, BHS, RSU, SUV, TUW, UWX, NWD, WDM, UVY, UXY, JCY, YKC, QUW, QSU, SYU, UWY, AOU, AFU, FBU, BIU, UIC, ULC, OLD,OUD, QYW, QSW, QSY, SYW, AGY, DSK , BJW
Therefore, the total number of triangles is:
Total triangles = 48
So, the above figure has 48 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:
BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK, KNJ, FAK, HKD, BEN, CMI, GLJ, FHK, BAJ, CLD
Therefore, the total number of triangles is:
Total triangles = 18
So, the above figure has 18 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:
AHB, GHI, BJC, GFE, GIE, IJE, CEJ, CDE, HEG, BEC, HBE, JGE, FHE, GCE, AFD, AGC, HFE and BED
Therefore, the total number of triangles is:
Total triangles = 18
So, the above figure has 18 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 labelled figure:
The triangles formed in the figure are:
ABL, BCD, DBF, FGP, PGH, QHI, JQI, KRJ, LRK, OSG, SGQ, SPI, SRI, KSQ, KMS, FGH, JHI, JKL, KSG, NEI, ANI, MCG, KCO, GMK, KOG, AEI and KCG
Therefore, the total number of triangles is:
Total triangles = 27
So, the above figure has 27 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:
AHG, AIG, AIB, JFE, CJE, CED, ABG, CFE, ACJ,EGI, ACE, AGE, CFD and AHE
Therefore, the total number of triangles is:
Total triangles = 14
So, the above figure has 14 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:
AGH, GFO, LFO, DJK, EKP, PEL, IMN, GFL, KEL, AMO, NDP, BHN, CMJ, NEJ, HFM, IOE, IFP, BIF, CEI, ANE, DMF, FCK, BGE, ADL, BPF, COE, DHF and AJE
Therefore, the total number of triangles is:
Total triangles = 28
So, the above figure has 28 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:
GLK, DLJ, DJM, HMN, QRE, IRA, IPA, FPO, EDO, CDQ, DLM, PRA, KFI, NEI, HJI, GJI, OKI, DNI, DIE, DFI, DOA, DQA, GHI, DCA, DBA DBF and ABC
Therefore, the total number of triangles is:
Total triangles = 27
So, the above figure has 27 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:
ABI, BIC, ALJ, CIJ, AHJ, CDJ, JHG, JDE, GJF, EJF, ABC, BCJ, ACJ, BAJ, AJG, CJE, GJE, ACG, ACE, CGE and AGE
Therefore, the total number of triangles is:
Total triangles = 21
So, the above figure has 21 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:
ABF, BIC, CIH, GIH, FGE, AFE, ABE, AGE, BHF, BCH, CGH, BIE, ABH, BCE and CDE
Therefore, the total number of triangles is:
Total triangles = 15
So, the above figure has 15 triangles
Correct Answer: Option (D)