11
Q:

Find the number of triangles in the given figure?

A) 16 B) 22
C) 28 D) 32

Answer:   C) 28



Explanation:

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.

Q:

Choose the alternative which is closely resembles the water image of the given combination/figure.

ADVANCE

 

1) download_(1)1492407904.png image  2) download_(2)1492407924.png image  3) download1492407936.png image  4) NONE

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
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7 815
Q:

What is the minimum number of colour pencils required to fill the spaces in the below figure with no two adjacent spaces have the same colour ?

            631484547933.png image

A) 5 B) 2
C) 3 D) 6
 
Answer & Explanation Answer: C) 3

Explanation:

The given figure can be labelled as shown :

63-11484548871.png image

The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.

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6 1190
Q:

Find the minimum number of straight lines in the below figure ?

                441484547526.png image

A) 20 B) 19
C) 17 D) 15
 
Answer & Explanation Answer: B) 19

Explanation:

The given figure can be labelled as :

  44-1u1484547679.png image 

Straight lines :

The number of straight lines are 19

i.e. BC, CD, BD, AF, FE, AE, AB, GH, IJ, KL, DE, AG, BH, HI, GJ, IL, JK, KE and DL.

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7 814
Q:

Minimum number of straight lines required to form the below figure ?

                      21484547018.png image

A) 18 B) 17
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

The given figure can be labelled as shown :

       2-11484547091.png image

The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.

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9 671
Q:

Find the number of triangles in the given figure ?

                analyticalreasoning1331484546669.png image

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

The given figure can be labelled as :

   analyticalreasoning13answer121484546728.png image

The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.

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12 932
Q:

Find the number of triangles in the given figure ?

                       analyticalreasoning81484544890.png image

A) 21 B) 15
C) 18 D) 20
 
Answer & Explanation Answer: A) 21

Explanation:

analyticalreasoning8answer121484544955.png image

The simplest triangles are AKI, AIL, EKD, LFB, DJC, DKJ, KIJ, ILJ, JLB, BJC, DHC and BCG i.e. 12 in number.
The triangles composed of two components each are AKJ, ALJ, AKL, ADJ, AJB and DBC i.e. 6 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 12 + 6 + 2 + 1 = 21 triangles in the figure.

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6 703
Q:

Determine the number of rectangles and hexagons in the following figure.

A) 30, 5 B) 32, 3
C) 28, 5 D) 30, 3
 
Answer & Explanation Answer: A) 30, 5

Explanation:

The figure may be labelled as shown

 

 

Rectangles :

 

The simplest rectangles are CVSR, VETS, RSWM and STKW i.e 4 in number.

 

The rectangles composed of two components each are CETR, VEKW, RTKM and CVWM i.e 4 in number.

 

The rectangles composed of three components each are ACRP, PRMO, EGHT and THIK i.e 4 in number.

 

The rectangles composed of four components each are CEKM, AVSP, PSWO,VGHS and SHIW i.e 5 in number.

 

The rectangles composed of five components each are AETP, PTKO, CGHR and RHIM i.e 4 in number.

 

The rectangles composed of six components each are ACMO and EGIK i.e 2 in number.

 

The rectangles composed of eight components each are AGHP, PHIO, AVWO and VGIW i.e 4 in number.

 

The rectangles composed of ten components each are AEKO and CGIM i.e 2 in number.

 

AGIO is the only rectangle having sixteen components

 

Total number of rectangles in the given figure = 4 + 4 + 4 + 5 + 4 + 2 + 4 + 2 + 1 = 30.

 

Hexagons :

 

The hexagons in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEUKNP and BFHJNP. So, there are 5 hexagons in the given figure.

 

 

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11 1595
Q:

Count the number of triangles and squares in the given figure.

A) 36 triangles, 7 Squares B) 38 triangles, 9 Squares
C) 40 triangles, 7 Squares D) 42 triangles, 9 Squares
 
Answer & Explanation Answer: C) 40 triangles, 7 Squares

Explanation:

The figure may be labelled as shown 

 

 

Triangles :

 


The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number

 

The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.

 

The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.

 

Total number of triangles in the figure = 18 + 16 + 6 =40.

 

Squares :

 


The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number

 

The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number

 

Total number of squares in the figure = 3 + 4 =7

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13 3212