Analytical reasoning test-1

Answer: Option D

Explanation

After labelling the figure, we get the following,

1. Simplest triangles ABF, BIC, CIH, GIH, FGE and AFE (6)
2. Triangles with two components each ABE, AGE, BHF, BCH, CGH and BIE (6)
3. Triangles with three components each ABH, BCE and CDE (3)

Total number of triangles in the figure is 6 + 6 + 3 = 15

Hence option D is correct.

Answer: Option A

Explanation

After labelling the figure, we get the following,

• Simplest triangles GLK, DLJ, DJM, HMN, QRE, IRA, IPA and FPO (8)
• Triangles with two components each BDO, CDQ, DLM, PRA KFI, NEI, HJI, GJI, DKI and DNI (10)
• Triangles with four components each DIE, DFI, DOA, DQA and GHI (5)
• Triangles with six components each DCA and DBA (2)
• Triangles with eight components is DEF (1)
• Triangle with twelve components is ABC (1)

Total number of triangles in the figure is 8 + 10 + 5 + 2 + 1 + 1 = 27

Hence option A is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles AFJ, FJK, FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ and AEJ (12)
• Triangles with two components each JFB, FBG, BJG, JFG, DEJ, EJH, DJH and DEH (8)
• Triangles with three components each AJB, JBC, DJC and ADJ (4)
• Triangles with six components each DAB, ABC, BCD and ADC (4)

Total number of triangles in the figure is 12 + 8 + 4 + 4 = 28

Hence option C is correct.

Answer: Option B

Explanation

After labelling the figure, we get the following,

• Simplest triangles ADE, BDF, DEF and EFC (4)
• Triangle with one component is ABC (1)

Total number of triangles in the figure is 4+1=5

Hence option B is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles ABI, BIC, AIJ, CIJ, AHJ, CDJ, JHG, JDE, GJF, and EJF (10)
• Triangles with two components each ABC, BCJ, ACJ, BAJ, AJG, CJE and GJE (7)
• Triangles with four components each ACG, ACE, CGE and AGE (4)

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

Hence option c is correct.