# SSC CGL Exam Tier-I: Reasoning: Figure Puzzle Quiz!

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| By Tanmay Shankar
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Tanmay Shankar
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Quizzes Created: 484 | Total Attempts: 1,771,263
Questions: 13 | Attempts: 270

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• 1.

### Six toys are quite identical to look at, but only one of them is less in weight. It is to be identified using the balance minimum number of times. What is that minimum number of using the balance?

• A.

Once

• B.

2 times

• C.

3 times

• D.

More than 3 times

B. 2 times
Explanation
First of all, put three toys each on both the pans of the balance. Then, pick up the toys from a lighter pan. Now put one toy each on both the pans. If both the pans weigh equal, then the remaining toy is lighter. If one pan weighs less then that is the lighter toy.

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• 2.

### How many triangles are there in the figure PQRS?

• A.

16

• B.

12

• C.

10

• D.

8

A. 16
Explanation
First of all label the given diagram:

∆PED;    ∆PEA;    ∆AEQ;   ∆QEB;   ∆BER; ∆CER;    ∆CES;    ∆DES;    ∆PES;    ∆SER;    ∆REQ;   ∆PEQ;   ∆PSR; ∆QRS;      ∆PQR;  ∆PQS
Thus, there are 16 triangles.

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• 3.

### How many triangles are there in the given figure?

• A.

18

• B.

28

• C.

20

• D.

24

B. 28
Explanation
The triangles are:
∆EAB;    ∆FBC;    ∆GCD; ∆HAD; ∆ADC; ∆BCD; ∆ABC; ∆ABD; ∆MAB; ∆MBC;  ∆MCD;  ∆MAD; ∆EAI; ∆EBI; ∆BFJ;  ∆FCJ; ∆GCK; ∆GDK; ∆HDL; ∆HAL; ∆AHM; ∆DHM; ∆BFM;  ∆CFM; ∆ALM;  ∆MLD; ∆BMJ;    ∆MCJ
There are 28 triangles.

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• 4.

### How many squares are there in the square figure ABCD?

• A.

16

• B.

17

• C.

26

• D.

30

D. 30
Explanation
The squares are:
ABCD, AFUO, FBIU, OULD, UICL, EGVT, TVKM, PRXN, RHJX, QSYW, AEQP, PQTO, OTWN, NWMD, EFRQ, QRUT, TUXW, WXLM, FGSR, RSVU, UVYX, XYKL, GBHS, SHIV, VIJY, YJCK, AGYN, EBJW, PSKD, QHCM.
Thus, there are 30 squares.

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• 5.

### How many rectangles are there in the given figure?

• A.

24

• B.

16

• C.

21

• D.

14

C. 21
Explanation
The rectangles, are: AEML, LMOK, AEOK, KNJD, NOIJ, KOID, AEID, LMID, EFPO, FBGP, EBGO, OGHQ, QHCI, OGCI, EBHQ, EBCI, AFPK, ABGK. NGCJ, KGCD, ABCD.
Thus, there are 21 rectangles.

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• 6.

### Directions: In the following questions, select the related letters/word/number/figure from the given alternatives. How many triangles are there in the following figure?

• A.

16

• B.

13

• C.

9

• D.

7

A. 16
Explanation
The triangles are: ∆ABC; ∆ABE; ∆ACE; ∆ABD; ∆ACF; ∆ABD; ∆BCD; ∆AFG; ∆ADG; ∆BFG; ∆BEG; ∆CEG; ∆CDG; ∆ACG; ∆ABG; ∆BCG
Thus, there are altogether 16 triangles

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• 7.

### How many rectangles are there in the figure given?

• A.

8

• B.

9

• C.

10

• D.

11

D. 11
Explanation
The rectangles are: ABCD, AEJK, AFIK, ABGK, EFIJ, EBGJ, FBGI, FBCH, IGCH, AFHD, KIHD

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• 8.

### How many triangles are there in the following figure?

• A.

11

• B.

13

• C.

9

• D.

15

B. 13
Explanation
The triangles are:
∆ABC ; ∆ABD ; ∆ADC ; ∆AFC ; ∆FDC ; ∆AFB ; ∆FDB ; ∆FBC ; ∆GBD ; ∆ADE ; ∆GBE ; ∆FDG ; ∆DBE ;

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• 9.

### How many triangles are there in the following figure?

• A.

20

• B.

24

• C.

28

• D.

32

C. 28
Explanation
The triangles are:
∆FEB ; ∆CBD ; ∆FAG ; ∆FEG ; ∆BCI ; ∆CDI ; ∆AFI ; ∆EFI ; ∆BGC ; ∆DCG ; ∆AGI ; ∆BIH ; ∆AGB ; ∆ABI ; ∆HAB; ∆HBI ; ∆HGI ; ∆HAG ; ∆GEI ; ∆GED ; ∆IDE ; ∆IDG ; ∆JGI ; ∆JDI ; ∆JGE ; ∆JDE ; ∆AIE ; ∆BGD ;
Thus, there are 28 triangles.

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• 10.

### How many triangles are there in the following figures?

• A.

29

• B.

27

• C.

23

• D.

30

B. 27
Explanation
The triangles are:
∆ABC; ∆ADE; ∆AFH; ∆AIL; ∆DFG; ∆DIK; ∆DBO; ∆GDE; ∆EGH; ∆EJL ; ∆EMC ; ∆FIJ; ∆FBN; ∆JFG; ∆GJK; ∆KGH; ∆HKL; ∆HNC; ∆NFH; ∆GMO; ∆IBM; ∆MIJ; ∆JMN; ∆NJK; ∆KNO; ∆OKL; ∆LOC;

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• 11.

### How many triangles are there in the given figure?

• A.

16

• B.

8

• C.

14

• D.

12

A. 16
Explanation
∆AIH; ∆AIE; ∆EIB; ∆BFI; ∆IHC; ∆IGC; ∆IGD; ∆DFI; ∆IAB; ∆IBD; ∆ICD; ∆IAC; ∆BAC; ∆ACD; ∆BDC; ∆BDA

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• 12.

### How many rectangles are there in the given diagram?

• A.

4

• B.

7

• C.

9

• D.

18

D. 18
Explanation
The rectangles are:
ABKJ; JKHI; BCLK; KLGH; CDML; LMFG; ACGI; ACLJ; JLGI; BDFH; BDMK; KMFH; ADFI; ADMJ; JMFI
ABHI, BCGH and CDFG are squares.
We know that every square is a rectangle. But its reverse is not always true.

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• 13.

### How many triangles are there in the given figure?

• A.

29

• B.

38

• C.

40

• D.

35

C. 40
Explanation
The simplest triangles are:
∆PNO; ∆PNM; ∆MPQ; ∆MQR; ∆AQP; ∆AQR; ∆BRA; ∆BRC; ∆SRC; ∆SCD; ∆SGR; ∆SGD; ∆DFG; ∆DFE; ∆TLM; ∆TJK; ∆TLK; ∆TIH;
The triangles composed of two components are:
∆PON; ∆PMA; ∆APR; ∆RAM; ∆RAC; ∆RGC; ∆DGC; ∆DGE; ∆MPR; ∆GRD; ∆DCR; ∆TMK; ∆TKI; ∆TIG
The triangles composed of four components are:
∆AMO; ∆AMC; ∆CAG; ∆CGE; ∆MKI; ∆GIK;
Other triangles are: ∆SPI; ∆DQK
Total number of triangles
18 + 14 + 6 + 2 = 40

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• Mar 25, 2014
Quiz Created by
Tanmay Shankar

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