SSC CGL Exam Tier-I: Reasoning: Figure Puzzle Quiz!
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Questions and Answers
- 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
Correct Answer
B. 2 timesExplanation
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.Rate this question:
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- 2.
How many triangles are there in the figure PQRS?
- A.
16
- B.
12
- C.
10
- D.
8
Correct Answer
A. 16Explanation
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.Rate this question:
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- 3.
How many triangles are there in the given figure?
- A.
18
- B.
28
- C.
20
- D.
24
Correct Answer
B. 28Explanation
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.Rate this question:
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- 4.
How many squares are there in the square figure ABCD?
- A.
16
- B.
17
- C.
26
- D.
30
Correct Answer
D. 30Explanation
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.Rate this question:
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- 5.
How many rectangles are there in the given figure?
- A.
24
- B.
16
- C.
21
- D.
14
Correct Answer
C. 21Explanation
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.Rate this question:
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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
Correct Answer
A. 16Explanation
The triangles are: ∆ABC; ∆ABE; ∆ACE; ∆ABD; ∆ACF; ∆ABD; ∆BCD; ∆AFG; ∆ADG; ∆BFG; ∆BEG; ∆CEG; ∆CDG; ∆ACG; ∆ABG; ∆BCG
Thus, there are altogether 16 trianglesRate this question:
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- 7.
How many rectangles are there in the figure given?
- A.
8
- B.
9
- C.
10
- D.
11
Correct Answer
D. 11Explanation
The rectangles are: ABCD, AEJK, AFIK, ABGK, EFIJ, EBGJ, FBGI, FBCH, IGCH, AFHD, KIHDRate this question:
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- 8.
How many triangles are there in the following figure?
- A.
11
- B.
13
- C.
9
- D.
15
Correct Answer
B. 13Explanation
The triangles are:
∆ABC ; ∆ABD ; ∆ADC ; ∆AFC ; ∆FDC ; ∆AFB ; ∆FDB ; ∆FBC ; ∆GBD ; ∆ADE ; ∆GBE ; ∆FDG ; ∆DBE ;Rate this question:
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- 9.
How many triangles are there in the following figure?
- A.
20
- B.
24
- C.
28
- D.
32
Correct Answer
C. 28Explanation
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.Rate this question:
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- 10.
How many triangles are there in the following figures?
- A.
29
- B.
27
- C.
23
- D.
30
Correct Answer
B. 27Explanation
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;Rate this question:
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- 11.
How many triangles are there in the given figure?
- A.
16
- B.
8
- C.
14
- D.
12
Correct Answer
A. 16Explanation
∆AIH; ∆AIE; ∆EIB; ∆BFI; ∆IHC; ∆IGC; ∆IGD; ∆DFI; ∆IAB; ∆IBD; ∆ICD; ∆IAC; ∆BAC; ∆ACD; ∆BDC; ∆BDARate this question:
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- 12.
How many rectangles are there in the given diagram?
- A.
4
- B.
7
- C.
9
- D.
18
Correct Answer
D. 18Explanation
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.Rate this question:
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- 13.
How many triangles are there in the given figure?
- A.
29
- B.
38
- C.
40
- D.
35
Correct Answer
C. 40Explanation
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 = 40Rate this question:
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Current Version
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Mar 20, 2023Quiz Edited by
ProProfs Editorial Team -
Mar 25, 2014Quiz Created by
Tanmay Shankar
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