1:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 10

Explanation:

The figure may be labeled as shown.

The simplest triangles are AJF, FBG, GCH, HDI, and IEJ i.e. 5 in number.

The triangles are composed of three components each EBH, AIC, EFC, ADG, and BJD i.e. 5 in number.

Thus, there are 5 + 5 = 10 triangles in the figure.


2:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 5

Explanation:

The figure may be labeled as shown.

The simplest triangles are ADE, BDF, DEF, and EFC i.e. 4 in number.

There is only one triangle ABC composed of four components.

Thus, there are 4+1 = 5 triangles in the given figure.


3:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 12

Explanation:

The figure may be labeled as shown.

The simplest triangles are AEH, EHI, EBF, EFI, FGC, IFG, DGH, and HIG i.e. 8 in number.

The triangles are composed of two components each is HEF, EFG, HFG, and EFG i.e. 4 in number.

Thus, there are 8 + 4 = 12 triangles in the figure.


4:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 16

Explanation:

The figure may be labeled as shown.

The simplest triangles are AGE, EGC, GFC, BGF, DGB, and ADG i.e. 6 in number.

The triangles are composed of two components each are AGC, BGC, and ABG i.e. 3 in number.

The triangles are composed of three components each are AFC, BEC, BDC, ABF, ABE, and DAC i.e. 6 in number.

There is only one triangle i.e. ABC composed of six components.

Thus, there are 6 + 3 + 6 + 1 = 16 triangles in the given figure.


5:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 15

Explanation:

The figure may be labeled as shown.

The simplest triangles are ABF, BIC, CIH, GIH, FGE, and AFE i.e. 6 in number.

The triangles are composed of two components each are ABE, AGE, BHF, BCH, CGH, and BIE i.e. 6 in number.

The triangles are composed of three components each is ABH, BCE, and CDE i.e. 3 in number.

Hence, the total number of triangles in the figure = 6 + 6 + 3 = 15.


6:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 28

Explanation:

The figure may be labeled as shown.

The simplest triangles are AFJ, FJK, FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ and AEJ i.e. 12 in number.

The triangles are composed of two components each are JFB, FBG, BJG, JFG, DEJ, EJH, DJH, and DEH i.e. 8 in number.

The triangles are composed of three components each is AJB, JBC, DJC, and ADJ i.e. 4 in number.

The triangles are composed of six components each are DAB, ABC, BCD, and ADC i.e. 4 in number.

Thus, there are 12 + 8 + 4 + 4 = 28 triangles in the figure.


7:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 15

Explanation:

The figure may be labeled as shown.

The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC, and BCG i.e. 8 in number.

The triangles composed of two components each are AKL, ADJ, AJB, and DBC i.e. 4 in number.

The triangles composed of the three components each are ADC and ABC i.e. 2 in number.

There is only one triangle i.e. ADB composed of four components.

Thus, there are 8+ 4 + 2 + 1= 15 triangles in the figure.


8:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 21

Explanation:

The figure may be labeled as shown.

The simplest triangles are EFH, BIC, GHJ, GIJ, EKD, and CKD i.e. 6 in number.

The triangles are composed of two components each are ABJ, AFJ, GCK, GEK, CED arid GHI i.e. 6 in number.

The triangles composed of three components each are GCD, GED, DJB, and DJF i.e. 4 in number.

The triangles are composed of four components each is ABF and GCE i.e. 2 in number.

The triangles are composed of five components each is ABD and AFD i.e. 2 in number.

There is only one triangle i.e. FBD composed of six components.

Total number of triangles in the figure = 6 + 6 + 4 + 2 + 2 + 1 = 21.


9:



Correct Answer : 18

Explanation:

The figure may be labeled as shown.

The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ, and CDE i.e. 8 in number.

The triangles are composed of two components each are HEG, BEC, HBE, JGE, and ICE i.e. 5 in number.

The triangles are 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.


10:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 21

Explanation:

The figure may be labeled as shown.

The simplest triangles are ABI, BIC, AIJ, CIJ, AHJ, CDJ, JHG, JDE, GJF, and EJF i.e. 10 in number.

The triangles are composed of two components each is ABC, BCJ, ACJ, BAJ, AJG, CJE, and GJE i.e. 7 in number.

The triangles are composed of four components each are ACG, ACE, CGE, and AGE i.e. 4 in number.

Total number of triangles in the figure =10+ 7 + 4 = 21.


11:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 27

Explanation:

The figure may be labeled as shown.

The simplest triangles are ABL, BCD, DEF, FGP, PGH, QHI, JQI, KRJ, and LRK i.e. 9 in number.

The triangles are composed of two components each are OSG, SGQ, SPI, SRI, KSQ, KMS, FGH, JHI, and JKL i.e. 9 in number.

There is only one triangle i.e. KSG which is composed of four components.

The triangles are composed of five components each are NEI, ANI, MCG, and KCO i.e. 4 in number.

The triangles are composed of six components each is GMK and KOG i.e. 2 in number.

There is only one triangle i.e. AEI composed of ten components.

There is only one triangle i.e. KCG composed of eleven components.

Therefore, Total number of triangles in the given figure = 9 + 9+1 + 4 + 2+1 + 1 = 27.


12:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 48

Explanation:

The figure may be labeled as shown.

The simplest triangles are APQ, AEQ, QTU, QRU, BGS, BHS, RSU, SUV, TUW, UWX, NWD, WDM, UVY, UXY, JCY, and YKC i.e. 16 in number.

The triangles are composed of two components each are QUW, QSU, SYU, and UWY i.e. 4 in number.

The triangles are composed of three components each are AOU, AFU, FBU, BIU, UIC, ULC, ULD, and OUD i.e. 8 in number.

The triangles are composed of four components each are QYW, QSW, QSY, and SYW i.e. 4 in number.

The triangles are composed of six components each being AUD, ABU, BUC, and DUC i.e. 4 in number.

The triangles are composed of seven components each are QMC, ANY, EBW, PSD, CQH, AGY, DSK, and BJW i.e. 8 in number.

The triangles are composed of twelve components each are ABD, ABC, BCD, and ACD i.e. 4 in number.

Thus, there are 16 + 4 + 8 + 4 + 4 + 8 + 4 = 48 triangles in the figure.


13:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 29

Explanation:

The figure may be labeled as shown.

The simplest triangles are AHL, LHG, GHM, HMB, GMF, BMF, BIF, CIF, FNC, CNJ, FNE, NEJ, EKJ, and JKD i.e. 14 in number.

The triangles are composed of two components each are AGH, BHG, HBF, BFG, HFG, BCF, CJF, CJE, JEF, CFE, and JED i.e. 11 in number.

The triangles are composed of four components each is ABG, CBG, BCE, and CED i.e. 4 in number.

Total number of triangles in the given figure = 14 + 11 + 4 = 29.


14:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 28

Explanation:

The figure may be labeled as shown.

The simplest triangles are AEI, AIH, BEJ, BJF, CFK, CKG, DGL, DLH, EOJ, FOJ, FOG, LOG, HOL, and HOE i.e. 14 in number.

The triangles are composed of two components each is EAH, FBE, BEO, EOF, BFO, FGC, GDH, HOD, HOG, and GOD i.e. 10 in number.

The triangles are composed of three components each is EFH, EHG, FGH, and EFG i.e. 4 in number.

Thus, there are 14 + 10 + 4 = 28 triangles in the given figure.


15:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 14

Explanation:

The figure may be labeled as shown.

The simplest triangles are AHG, AIG, AIB, JFE, CJE, and CED i.e. 6 in number.

The triangles are composed of two components each is ABG, CFE, ACJ, and EGI i.e. 4 in number.

The triangles are composed of three components each is ACE, AGE, and CFD i.e. 3 in number.

There is only one triangle i.e. AHE composed of four components.

Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.


16:



Correct Answer : 18

Explanation:

The figure may be labeled as shown.

The simplest triangles are BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK, and KNJ i.e. 10 in number.

The triangles are composed of three components each is FAK and HKD i.e. 2 in number.

The triangles are composed of four components each are BEN, CMI, GLJ, and FHK i.e. 4 in number.

The triangles are composed of eight components each is BAJ and OLD i.e. 2 in number.

Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure.


17:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 28

Explanation:

The figure may be labeled as shown.

The simplest triangles are AGH, GFO, LFO, DJK, EKP, PEL, and IMN i.e. 7 in number.

The triangles have two components each being GFL, KEL, AMO, NDP, BHN, CMJ, NEJ, and HFM i.e. 8 in number.

The triangles have three components each being IOE, IFP, BIF, and CEI i.e. 4 in number.

The triangles have four components each are ANE and DMF i.e. 2 in number.

The triangles have five components each are FCK, BGE, and ADL i.e. 3 in number.

The triangles have six components each being BPF, COE, DHF, and AJE i.e. 4 in number.

Total number of triangles in the figure = 7 + 8 + 4 + 2 + 3 + 4 = 28.


18:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 24

Explanation:

The figure may be labeled as shown.

The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number.

The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.

Total number of triangles in the figure = 8 + 10 + 6 = 24.


19:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 14

Explanation:

The figure may be labeled as shown.

The simplest triangles are ABJ, ACJ, BDH, DHF, CIE, and GIE i.e. 6 in number.

The triangles are composed of two components each are ABC, BDF, CEG, BHJ, JHK, JKI, and CJI i.e. 7 in number.

There is only one triangle JHI which is composed of four components.

Thus, there are 6 + 7 + 1 = 14 triangles in the given figure.


20:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 10

Explanation:

The figure may be labeled as shown.

The simplest triangles are ABG, BCG, CGE, CDE, AGE, and AEF i.e. 6 in number.

The triangles are composed of two components each is ABE, ABC, BCE, and ACE i.e. 4 in number.

There are 6 + 4 = 10 triangles in the figure.


21:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 27

Explanation:

The figure may be labeled as shown.

The simplest triangles are GLK, DLJ, DJM, HMN, QRE, IRA, IPA and FPO i.e. 8 in number.

The triangles having two components each are BDO, CDQ, DLM, PRA, KFI, NEI, HJI, GJI, DKI and DNI i.e. 10 in number.

The triangles having four components each are DIE, DFI, DOA, DQA andGHI i.e. 5 in number.

The triangles having six components each are DCA and DBA i.e. 2 in number.

DEF is the only triangle having eight components.

ABC is the only triangle having twelve components.

Thus, there are 8+10+ 5 + 2+1 + 1 = 27 triangles in the figure.


22:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 28

Explanation:

The figure may be labeled 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.


23:

दिइएको चित्रमा त्रिभुजको संख्या पत्ता लगाउनुहोस्।

Correct Answer : 36

Explanation:

The figure may be labeled as shown.

The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA i.e. 12 in number.

The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.

The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.

The triangles composed of six components each are ASB, BSC, CSD, DSA, AKF, EBH, CGJ and IDL i.e. 8 in number.

The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.