Analytical reasoning test-2

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG (8)
• Triangles with two components each AKL, ADJ, AJB and DBC (4)
• Triangles with three components each ADC and ABC (2)
• Triangle with four components is ABD (1)

Total number of triangles in the figure is 8 + 4 + 2 + 1 =15

Hence option A is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles ABJ, ACJ, BDH, DHF, CIE, and GIE (6)
• Triangles with two components each ABC, BDDF, CEG, BHJ, JHK, JKI and CJI (7)
• Triangle with four components is JHI (1)

Total number of triangles in the figure is 6 +7 + 1 =14

Hence option C is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles AHL, LHG, GHM, HMB, GMF, BMF, BIF, CIF, FNC, CNJ, FNE, NEJ, EKJ, and JKD (14)
• Triangles with two components each AGH, BHG, HBF, BFG, HFG, BCF, CJF, CJE, JEF, CEF, and JED (11)
• Triangles with four components each ABG, CBG, BCE, and CED (4)

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

Hence option C is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE, and EMA (12)
• Triangles with two components each AEL, KDJ, HIC, and FBG (4)
• Triangles with three components each APF, EQB, BQH, GVC, CVJ, IUD, DUL, and KPA (8)
• Triangles with six components each ASB, BSC, CSD, DSA, AKF, EBH, GCJ and IDL (8)
• Triangles with twelve components each ADB, ABC, BCD and CDA (4)

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

Hence option C is correct.

Answer: Option C

Explanation

After labelling the figure, we get the following,

• The horizontal lines are DF and BC (2)
• The vertical lines are DG, AH and FI (3)
• The slanting lines are AB, AC, BF and DC (4)

Total number of straight lines in the figure are 2 + 3 + 4= 9

Now, Counting the number of triangles,

• Simplest triangles are ADE, AEF, DEK, EFK, DJK, FLK, DJB, FLC, BJG, and LIC (10)
• Triangles with two components each ADF, AFK, DFK, ADK, DKB, FCK, BHK, KHC, DGB and FCI (10)
• Triangles with three components each DFJ and DFL (2)
• Triangles with four components each ABK, ACK, BFI, CDG, DFB, DFC and BKC (7)
• Triangles with six components each ABH, ACH, ABF, ACD, BFC, and CDB (6)
• Triangle with twelve components is ABC (1)

Total number of triangles in the figure is 10 + 10 + 2 + 7 + 6 + 1 = 36

Hence option C is correct.