Analytical Reasoning Question

Analytical Reasoning Question  Figures and answers : Non Verbal

1. Find the number of triangles in the given figure.

 

A.) 18
B.) 26
C.) 21
D.) 24

Answer: Option 'C' 

The figure may be labelled as shown.

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

triangles composed of two components each are ABJ, AFJ, GCK, GEK, CED arid GHI that is 6 in number.

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

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

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

There is only one triangle 

That is FBD composed of six components.

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

2. Find the number of triangles in the given figure.

 

A.) 4
B.) 5
C.) 7
D.) 6

Answer: Option 'B'

The figure may be labelled as shown.

The simplest triangles are ADE, BDF, DEF and EFC that is 4 in number.

There is only one triangle ABC composed of 4 components.

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

3. Find the number of triangles in the given figure.

 

A.) 34
B.) 36
C.) 38
D.) 40

Answer: Option 'B'

The figure may be labelled as shown.

Simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA that is 12 in number.

The triangles composed of 2 components each are AEL, KDJ, HIC and FBG that is 4 in number.

The triangles composed of 3 components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA that is 8 in number.

The triangles composed of 6 components each are ASB, BSG, CSD, DSA, AKF, EBH, GGJ and IDL that is 8 in number.

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

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

4. Find the number of triangles in the given figure.

 

A.) 25
B.) 27
C.) 33
D.) 38

Answer: Option 'B'

The figure may be labelled as shown.

Simplest triangles are GLK, DJM, HMN, QRE, IRA, DLJ, IPA and FPO that is 8 in number.

The triangles having 2 components each are BDO, CDQ, DLM, PRA, KFI, HJI, NEI, GJI, DKI and DNI that is 10 in number.

The triangles having 4 components each are DIE, DFI, DOA, DQA andGHI that is 5 in number.

The triangles having 6 components each are DCA and DBA that is 2 in number.

DEF is the only triangle having 8 components.

ABC is the only triangle having 12 components.

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