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Spatial Reasoning Questions and Answers

Spatial Reasoning test questions assess your ability to mentally manipulate images. This Spatial reasoning test assesses your ability to think about objects in both two and three dimensions, and draw conclusions to those objects from limited information.

1.

Count the number of squares in the given figure.

A.

13

B.

16

C.

19

D.

20

Correct answer is B

The figure may be labelled as shown.

The simplest squares are BCNM, CDON, PQIJ and QRHI i.e. 4 in number.

The squares composed of two components each are MNTS, NOUT, STQP and TURQ i.e. 4 in number.

The squares composed of five components each are ACTL, CEFT, TFGI and LTIK i.e. 4 in number.

The squares composed of six components each are BDUS and SUHJ i.e. 2 in number.

There is only one square i.e. MORP composed of eight components.

There is only one square i.e. AEGK composed of twenty components.

Total number of squares in the figure = 4 + 4 + 4 + 2+1 + 1 = 16.

2.

How many circles are there in the adjoining figure.

A.

11

B.

12

C.

13

D.

14

Correct answer is C

The figure may be labelled as shown.

There are 13 circles in the given figure. This is clear from the adjoining figure in which the centres of all the circles in the given figure have been numbered from 1 to 13.

3.

Count the number of squares in the given figure.

A.

6

B.

7

C.

9

D.

10

Correct answer is C

The figure may be labelled as shown.

The squares composed of two components each are ABKJ, BCLK, CDEL, LEFG, KLGH and JKHI i.e.6 in number.

There is only one square i.e. CEGK composed of four components.

The squares composed of eight components each are ACGI and BDFH i.e. 2 in number.

There are 6 + 1 + 2 = 9 squares in the figure.

4.

Count the number of rectangles in the given figure.

A.

8

B.

17

C.

18

D.

20

Correct answer is C

The figure may be labelled as shown.

The simplest rectangles are ABQP, PQNO, BCDN, NDEM, MEFL, LFJK, FGHR and RHIJ i.e. 8 in number.

The rectangles composed of two components each are ABNO, BCEM, NDFL, MEJK and FGIJ i.e. 5 in number.

The rectangles composed of three components each are ACDO, BCFL, NDJK and LGIK i.e. 4 in number.

There is only one rectangle i.e. BCJK composed of four components.

Total number of rectangles in the figure = 8 + 5 + 4 + 1 = 18.

5.

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

A.

44 triangles, 10 squares

B.

14 triangles, 16 squares

C.

27 triangles, 6 squares

D.

36 triangles, 9 squares

Correct answer is A

The figure may be labelled as shown.

Triangles :

The simplest triangles are AEI, EOI, OHI, HAI, EBJ, BFJ, FOJ, OEJ, HOL, OGL, GDL, DHL, OFK, FCK, CGK and GOK i.e. 16 in number.

The triangles composed of two components each are HAE, AEO, EOH, OHA, OEB, EBF, BFO, FOE, DHO, HOG, OGD, GDH, GOF, OFC, FCG and CGO i.e. 16 in number.

The triangles composed of four components each are HEF, EFG, FGH, GHE, ABO, BGO, CDO and DAO i.e. 8 in number.

The triangles composed of eight components each are DAB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 16 + 16 + 8 + 4 = 44.

Squares :

The squares composed of two components are HIOL, IEJO, JFKO and KGLO i.e. 4 in number.

The squares composed of four components are AEOH, EBFO, OFGC and HOGD i.e.4 in number.

There is only one square EFGH which is composed of eight components.

There is only one square ABCD which is composed of sixteen components.

Total number of squares in the figure = 4 + 4 + 1 + 1 = 10.

6.

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

A.

30, 5

B.

32, 3

C.

28, 5

D.

30, 3

Correct answer is A

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.

7.

How many rectangles are there in the given figure.

A.

10

B.

9

C.

8

D.

7

Correct answer is B

The figure may be labelled as shown.

The simplest rectangles are ABJI, BCKJ, IJFG and JKEF i.e. 4 in number.

The rectangles composed of two components each are ACKI, BCEF, IKEG and ABFG i.e. 4 in number.

The only rectangle composed of four components is ACEG.

Thus, there are 4 + 4 + 1 = 9 rectangles in the given figure.

8.

What is the minimum number of straight lines that is needed to construct the figure?

A.

11

B.

13

C.

15

D.

21

Correct answer is B

The figure may be labelled as shown.

The horizontal lines are AE and JF i.e. 2 in number. The vertical lines are AJ, CH and EF i.e. 3 in number.

The slanting lines are AG, BF, JD, IE, AB, DE, JI and FG i.e. 8 in number.

Total number of straight lines needed to construct the figure = 2 + 3 + 8 = 13.

9.

Count the number of squares in the given figure.

A.

18

B.

19

C.

25

D.

27

Correct answer is D

The figure may be labelled as shown.

The simplest squares are EFRQ, MQYX, QRZY, RNSZ, LXWK, XYA1W, YZB1A1, ZSTB1, SGHT, WA1VP, A1B1UV, B1TOU and VUIJ i.e. 13 in number.

The squares having two components each are AEYL, FBGZ, KA1JD and B1HCI i.e. 4 in number.

The squares having four components each are MRB1W, QNTA1 XZUP and YSOV i.e. 4 in number.

The squares having seven components each are AFB1K, EBHA1 LZID and YGCJ i.e. 4 in number.

There is only one square i.e. MNOP composed of nine components.

There is only one square i.e. ABCD composed of seventeen components.

There are 13+ 4 + 4 + 4+1 + 1 = 27 squares in the figure.

10.

Count the number of parallelogram in the given figure.

A.

23

B.

22

C.

21

D.

18

Correct answer is A

The figure may be labelled as shown.

The simplest parallelograms are EMLA and NIDJ i.e. 2 in number.

The parallelograms composed of two components each are BFMG, CGNH, GMKN, FGME, GHNM, MNKL, FGNM, GHIN and MNJK i.e. 9 in number.

The parallelograms composed of three components each are FGLA, ENKA, GHDJ and MIDK ie. 4 in number.

The parallelograms composed of four components each are FGJK, GHKL, FBNK, CHKM, EFHN and MFHI i.e. 6 in number.

The parallelograms composed of seven components each are FHKA and FHDK i.e. 2 in number.

Total number of parallelograms in the figure = 2 + 9 + 4 + 6 + 2 = 23.

Verbal Reasoning Questions and Answers

1.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

Due to these reasons, we are all in favour of universal compulsory education.

A.

Out of these reasons

B.

For these reasons

C.

By these reasons

D.

No improvement

Correct answer is B

2.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

He died in the year 1960 at 11pm on 14 July.

A.

on 14 July in the year 1960 at 11pm

B.

in the year 1960 on 14 July at 11pm

C.

at 11pm on 14 July in the year 1960

D.

No improvement

Correct answer is C

3.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

I shall not go until I am invited.

A.

till I am invited

B.

unless I am invited

C.

if not I am invited

D.

No improvement

Correct answer is B

4.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

This telephone number is not existing.

A.

has not existed

B.

does not exist

C.

has not been existing

D.

No improvement

Correct answer is B

5.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

have lived in Delhi since I was four.

A.

am living

B.

lived

C.

had lived

D.

No improvement

Correct answer is D

6.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

Whatever to our other problems, we have no shortcoming to cheap labour in India.

A.

default

B.

deficit

C.

scarcity

D.

No improvement

Correct answer is C

7.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

All, but her, had made an attempt.

A.

All, but she,

B.

All, but herself,

C.

All, herself

D.

No improvement

Correct answer is A

8.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

My friend was in hospital for a week after an accident.

A.

through

B.

following

C.

for

D.

No improvement

Correct answer is B

9.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

We did not see this movie yet.

A.

have seen

B.

have not seen

C.

have seen

D.

No improvement

Correct answer is B

10.

In the question given below, a part of the sentence is in bold and italicised. Below are given alternatives to the bold and italicised part which may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose option ‘D’ as the answer.

We had nothing to eat since 8’o clock, this morning.

A.

have had nothing

B.

has had nothing

C.

did have nothing

D.

No improvement

Correct answer is A

Logical Reasoning Questions and Answers

1.

From his house, Lokesh went 15 km to the North. Then he turned west and covered 10 km. Then he turned south and covered 5 km. Finally turning to the east, he covered 10 km. In which direction is he from his house?

A.

East

B.

West

C.

North

D.

South

Correct answer is C

2.

Sachin walks 20 km towards North. He turns left and walks 40 km. He again turns left and walks 20 km. Finally he moves 20 km after turning to the left. How far is he from his starting position?

A.

20 km

B.

30 km

C.

50 km

D.

60 km

Correct answer is A

3.

Sundar runs 20 m towards East and turns to the right and runs 10 m. Then he turns to the right and runs 9 m. Again he turns to right and runs 5 m. After this, he turns to the left and runs 12 m and finally he turns to the right and runs 6 m. Now to which direction is Sundar facing?

A.

East

B.

West

C.

North

D.

South

Correct answer is C

4.

Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here, she moves towards North-West a distance of 7 km and finally she moves a distance of 4 km towards east. How far is she now from the starting point?

A.

3 km

B.

4 km

C.

10 km

D.

11 km

Correct answer is C

5.

Village Q is to the North of the village P. Village R is in the East of Village Q. Village S is to the left of the village P. In which direction is village S with respect to village R?

A.

West

B.

South-West

C.

South

D.

North-West

Correct answer is B

6.

Rohit walked 25 m towards south. Then he turned to his left and walked 20 m. He then turned to his left and walked 25 m. He again turned to his right and walked 15 m. At what distance is he from the starting point and in which direction?

A.

35 m East

B.

35 m North

C.

30 m West

D.

45 m East

Correct answer is A

7.

Amit started walking, positioning his back towards the sun. After some time, he turned left, then turned right and towards the left again. In which direction is he going now?

A.

North or South

B.

East or West

C.

North or West

D.

South or West

Correct answer is A

If he starts walking in the morning, then finally he will face towards South and if he starts in the evening, then finally he will face towards North.

8.

Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?

A.

26 km

B.

21 km

C.

14 km

D.

9 km

Correct answer is C

9.

Umesh directly went from P to Q which is 9 feet distant. Then he turns to the right and walked 4 feet. After this he turned to the right and walked a distance which is equal from P to Q. Finally he turned to the right and walked 3 feet. How far is he now from P?

A.

6 feet

B.

5 feet

C.

1 foot

D.

0 foot

Correct answer is C

10.

Four friends A, B, C and D live in a same locality. The house of B is in the east of A’s house but in the north of C’s house. The house of C is in the west of D’s house. D’s house is in which direction of A’s house?

A.

South-East

B.

North-East

C.

East

D.

Data is inadequate

Correct answer is A

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