Analytical reasoning test-2

Answer: Option C

Explanation

After labelling the figure, we get the following,

• Simplest triangles JBO, BKO, KDO, DFO, FGO, GHO, HIO, IJO, ABJ, BCK, CKD and DEF (12)
• Triangles with two components each IBO, BDO, DGO, GIO, ABO, CBD and DEO (7)
• Triangles with four components IBD, BDG, DGI, GIB, ACO, and COE (6)
• Triangle with eight components is ACE (1)

Total number of triangles in the figure is 12 + 7 + 6 + 1 = 26

Also we need to count the number of squares in this figure,

• Squares with two components each BKOJ, KDFO, OFGH, and JOHI (2)
• Square composed of four components is CDOB (1)
• Square composed of eight components is BDGI (1)

Total number of squares in the figure is 4 + 1 + 1 = 6

Hence option C is correct.

Answer: Option A

Explanation

After labelling the figure, we get the following,

• Simplest triangles KJN, KJO, CNB, OEF, JIL, JIM, BLA and MFG (8)
• Triangles with two components each CDJ, EDJ, NKO, JLM, JAH, and JGH (6)
• Triangles with three components each BKI, FKI, CJA, and EJG (4)
• Triangles with four components each CDE and AJG (2) Triangle with six components is BKT (1)

Total number of triangles in the figure is 8 + 6 + 4 + 2 + 1 = 21

Also we need to count the number of parallelograms in this figure,

• Simplest parallelograms NJLB and JOFM (2)
• Parallelograms with two components each CDKB, DEFK, BIHA, and IFGH (4)
• Prallelograms with three components each BKJA, KFGJ, CJIB, and JEFI (4)
• Parallelogram composed of four components is BFGA (1)
• Parallelogram composed of six components is CEFB (1)
• Parallelogram composed of ten components is CEGA (1)

Total number of parallelograms in the figure is 2 + 4 + 4 + 1 + 4 + 1+ 1 =17

Hence option A is correct.

Answer: Option B

Explanation

After labelling the figure, we get the following,

• Simplest rectangles ABBJI, BCKJ, IJFG, and JKEF (4)
• Rectangles with two components each ACKI, BCEF, IKEG, and ABFG (4)
• Rectangles composed of four components is ACEG (1)

Total number of Rectangles in the figure is 4 + 4 + 1 = 9

Hence option B is correct.

Answer: Option D

Explanation

After labelling the figure, we get the following,

• Simplest parallelograms LMHJ and BDFM (2)
• Parallelograms with two components each ABML and MFGH (2)
• Prallelograms with three components each LBHI, LBEF, BDGH, DFLA, BCFH, KLFH, ABHJ and LFGJ (8)
• Parallelogram composed of six components is LCFI, KBEH and ADGJ (3)

Total number of parallelograms in the figure is 2 + 2 + 8 + 3 = 15

Hence option D is correct.

Answer: Option B

Explanation

After labelling the figure, we get the following,

• The horizontal lines are AE and JE (2)
• The vertical lines are AJ, CH and EF (3)
• The slanting lines are AG, BF, JD, IE, AB, DE, JI and FG (8)

Total number of straight lines in the figure are 2 + 3 + 8 = 13

Hence option B is correct.