# 2D and 3D Geometry Aptitude Questions

2D and 3D Geometry  is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a tricky way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are Area, Volume and Surface area etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Calendar and Clocks Question practice before coming to this page if not make sure you solve questions from Calender and clocks Questions. Second, after you complete this section solve questions from Data Interpretation Aptitude Questions.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

The total surface area of a right circular cylinder with radius of the base 7 cm and height 20 cm is

Area
A

900 $cm^{2}$

B

140 $cm^{2}$

C

1000 $cm^{2}$

D

1188 $cm^{2}$

Q2

IF the circumference of a circle is increased by 20%, what will be the effect on the circle?

Area
A

40% increase

B

44% increase

C

48% increase

D

Cannot be determined

E

None of these

Q3

If radius of a circle is 3 cm, what is the area of the circle in sq.cm.?

Area
A

6π

B

9π

C

$\frac{3π}{2}$

D

9$π^{2}$

Q4

A rectangular carpet has an area of 120 $m^{2}$ and a perimeter of 46 metre. The length of its diagonal is

Area
A

23 metre

B

13 metre

C

17 metre

D

21 metre

Q5

A boundary wall around a rectangular plot is constructed at a total cost of Rs.46000 at the rate of Rs.200 per metre. What is the area of the plot if the respective ratio between the breadth and the length of the plot is 10 : 13?

Area
A

3750

B

3250

C

3000

D

3900

Q6

The base of an isosceles is 14 cm and its perimeter is 36 cm. Find its area.

Area
A

42$\sqrt{2}$ sq.cm

B

42 sq.cm

C

84 sq.cm

D

48 sq.cm

Q7

A triangle of area 9 y $cm^{2}$ has been drawn such that its area is equal to the area of an equilateral triangle of side 6 cm. The value of y would be

Area
A

$\sqrt{2}$

B

$\sqrt{3}$

C

2

D

3

Q8

The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of the greatest side.

Area
A

39 cm

B

40 cm

C

41 cm

D

42 cm

Q9

The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52 cm, then the length of the smallest side is

Area
A

9 cm

B

10 cm

C

11 cm

D

12 cm

Q10

IF each side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is

Area
A

4 : 5

B

5 : 4

C

4 : 9

D

9 : 4

Q11

What is the total surface area of right circular cone of height 14 cm and base radium 7cm ?

Volume and Surface Area
A

344.35 cm²

B

462 cm²

C

498.35 cm²

D

none of these

Q12

If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone

Volume and Surface Area
A

remains unaltered

B

decrease by 25%

C

increase by 25%

D

increase by 50%

Q13

A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the paper. The radius of the base of the cylinder so rolled is

Volume and Surface Area
A

3.5 cm

B

5 cm

C

7 cm

D

14 cm

Q14

If the volume and curved surfaces area of a cylinder are 616 $m^{3}$ and 352 $m^{2}$ respectively, what is the total surface area of the cylinder (in $m^{2}$)

Volume and Surface Area
A

429

B

419

C

435

D

421

E

417

Q15

Length of each edge of a regular tetrahedron is 1 cm. Its volume is

Volume and Surface Area
A

$\frac{\sqrt{3}}{12}$ $cm^{3}$

B

$\frac{1}{4}$$\sqrt{3}$ $cm^{3}$

C

$\frac{\sqrt{2}}{6}$ $cm^{3}$

D

$\frac{1}{12}$$\sqrt{2}$ $cm^{3}$

Q16

A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical glasses 4 cm in diameter at the top?

Volume and Surface Area
A

1172

B

1272

C

1372

D

1472

Q17

The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is

Volume and Surface Area
A

1 : 1

B

1 : 2

C

2 : 1

D

2 : 3

Q18

If the volume and surface area of a sphere are numerically the same, then its radius is

Volume and Surface Area
A

1 unit

B

2 units

C

3 units

D

4 units

Q19

If the radii of two spheres are in the ratio 1: 4, then their surface areas are in the ratio

Volume and Surface Area
A

1 : 2

B

1 : 4

C

1 : 8

D

1 : 16

Q20

What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres?

Volume and Surface Area
A

$\frac{1}{9}$

B

$\frac{2}{9}$

C

$\frac{7}{9}$

D

$\frac{8}{9}$