Non Verbal Reasoning Questions

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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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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30 10045
Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

121484628399.png image

      (A)

1211484628442.png image

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

Explanation:

when a cube is formed by folding the sheet shown in fig. (A), then 22-11484628706.png image  is one of the faces of the cube and this face lies opposite to a blank face. Also, a face bearing a square lies opposite to another blank face. The remaining two blank faces lie opposite to each other. Clearly, in the cube shown in fig. (1), the face consisting of the four symbols is not the same as that formed (as shown above). Hence, the cube in fig. (1) cannot be formed

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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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Q:

Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).

          121484720346.png image

 1211484720411.png image

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

Explanation:
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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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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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Q:

A picture is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?

A) 76 B) 35
C) 49 D) 38.5
 
Answer & Explanation Answer: D) 38.5

Explanation:

Draw out the diagram and you will see that the width of the picture becomes 8.5 - 3 = 5.5

The length becomes 10 - 3 = 7. The area is now 5.5 x 7 = 38.5

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