Introduction
Analytical Reasoning skills are crucial in every field that involves Numerical Reasoning, Logic, Math , Deductions & Inductions and fields where data needs to be analysed to discern patterns within the data. Analytical Reasoning is thus defined as the ability to look at the data/information and to find patterns or rules or connection between items in the information. Analytical Reasoning questions in competitive exams include both verbal & non-verbal questions and also involve a series of diagrams and pictures.
The article Analytical Reasoning Practice Quiz 3 lists different types of Analytical Reasoning questions with solutions useful for candidates preparing for different competitive examinations like RRB .RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC CGL,SSC CHSL, IBPS, SBI PO, SBI Clerks, CAT and etc.
Quiz
1. Find the minimum number of straight lines required to make the given figure.
The horizontal lines are IJ, AB, EF, MN, HG, DC and LK i.e. 7 in number.
The vertical lines are AD, EH, IL, FG, BC and JK i.e. 6 in number.
Thus, there are 7 + 6 = 13 straight lines in the figure.
2. Answer - Option C
Explanation -
The figure may be labelled 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 composed of two components each are JFB, FBG, BJG, JFG, DEJ, EJH, DJH and DEH i.e. 8 in number.
The triangles composed of three components each are AJB, JBC, DJC and ADJ i.e. 4 in number.
The triangles 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.
3. Answer - Option C
Explanation -
The figure may be labelled 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.
4. Answer - Option D
Explanation -
The figure may be labelled as shown.
The simplest triangles are ABF, BIC, CIH, GIH, FGE and AFE i.e. 6 in number.
The triangles composed of two components each are ABE, AGE, BHF, BCH, CGH and BIE i.e. 6 in number.
The triangles composed of three components each are ABH, BCE and CDE i.e. 3 in number.
Hence, the total number of triangles in the figure = 6 + 6 + 3 = 15.
5. Answer - Option A
Explanation -
The figure may be labelled as shown.
The simplest triangles are AGE, EGC, GFC, BGF, DGB and ADG i.e. 6 in number.
The triangles composed of two components each are AGC, BGC and ABG i.e. 3 in number.
The triangles 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.
- A. 13
B. 15
C. 17
D. 19
E. 20
- A. 16
B. 22
C. 28
D. 32
E. 43
- A. 11
B. 13
C. 15
D. 17
E. 20
- A. 12
B. 13
C. 14
D. 15
E. 16
- A. 16
B. 13
C. 9
D. 7
E. 20
1. Find the number of triangles in the given figure.
The simplest triangles are ABL, BCD, DEF, FGP, PGH, QHI, JQI, KRJ and LRK i.e. 9 in number.
The triangles 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 composed of five components each are NEI, ANI, MCG and KCO i.e. 4 in number.
The triangles composed of six components each are 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.
2. Answer - Option C
Explanation -
The figure may be labelled as shown.
The simplest triangles are ABI, BIC, AIJ, CIJ, AHJ, CDJ, JHG, JDE, GJF and EJF i.e. 10 in number.
The triangles composed of two components each are ABC, BCJ, ACJ, BAJ, AJG, CJE and GJE i.e. 7 in number.
The triangles 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.
3. Answer - Option D
Explanation -
The figure may be labelled as shown.
The simplest triangles are AJF, FBG, GCH, HDI and IEJ i.e. 5 in number.
The triangles 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.
4. Answer - Option B
Explanation -
The figure may be labelled as shown.
The horizontal lines are DE, FH, IL and BC i.e. 4 in number.
The slanting lines are AC, DO, FN, IM, AB, EM and HN i.e. 7 in number.
Thus, there are 4 + 7 = 11 straight lines in the figure.
5. Answer - Option C
Explanation -
The figure may be labelled as shown.
The simplest triangles are ABJ, ACJ, BDH, DHF, CIE and GIE i.e. 6 in number.
The triangles 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.
- A. 21
B. 23
C. 25
D. 27
E. 28
- A. 10
B. 19
C. 21
D. 23
E. 25
- A. 5
B. 6
C. 8
D. 10
E. 11
- A. 9
B. 11
C. 15
D. 16
E. 17
- A. 10
B. 12
C. 14
D. 15
E. 20
1. Find the number of triangles in the given figure.
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 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 composed of four components each are ABG, CBG, BCE and CED i.e. 4 in number.
Total number of triangles in the given figure = 14 + 11 + 4 = 29.
2. Answer - Option D
Explanation -
The figure may be labelled 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 composed of two components each are QUW, QSU, SYU and UWY i.e. 4 in number.
The triangles composed of three components each are AOU, AFU, FBU, BIU, UIC, ULC, ULD and OUD i.e. 8 in number.
The triangles composed of four components each are QYW, QSW, QSY and SYW i.e. 4 in number.
The triangles composed of six components each are AUD, ABU, BUC and DUC i.e. 4 in number.
The triangles composed of seven components each are QMC, ANY, EBW, PSD, CQH, AGY, DSK and BJW i.e. 8 in number.
The triangles 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.
3. Answer - Option C
Explanation -
The figure may be labelled as shown.
The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number.
The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number.
The triangles composed of three components each are BCD, CDE, BED and BCE i.e. 4 in number.
Thus, there are 8 + 5 + 4 = 17 triangles in the figure.
4. Answer - Option C
Explanation -
The figure may be labelled as shown.
The simplest triangles are AEH, EHI, EBF, EFI, FGC, IFG, DGH and HIG i.e. 8 in number.
The triangles composed of two components each are HEF, EFG, HFG and EFG i.e. 4 in number.
Thus, there are 8 + 4 = 12 triangles in the figure.
5. Answer - Option B
Explanation -
The figure may be labelled as shown.
The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.
The triangles composed of two components each are ABE, ABC, BCE and ACE i.e. 4 in number.
There are 6 + 4 = 10 triangles in the figure.
- A. 23
B. 27
C. 29
D. 31
E. 32
- A. 36
B. 40
C. 44
D. 48
E. 50
- A. 15
B. 16
C. 17
D. 18
E. 20
- A. 8
B. 10
C. 12
D. 14
E. 15
- A. 8
B. 10
C. 11
D. 12
E. 13
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