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objective Ques (40 results)
11)

The volume of a right pyramid is \( 45\sqrt{3} cm^3\) and its base is an equilateral triangle with side 6 cm. What is the height(in cm)of the pyramid?

SSC CGL 2019
A)

15

B)

18

C)

12

D)

20

12)

N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is:

SSC CGL 2019
A)

30

B)

27

C)

24

D)

36

13)

The radius of the base of a right circular cylinder is increased by 20%. By what percent should its height be reduced so that its volume remains the same as before?

SSC CGL 2019
A)

25

B)

\(30\frac{2}{9}\)

C)

\(30\frac{5}{9}\)

D)

28

14)

The radius and the height of a right circular cone are in the ratio 5 : 12. Its curved surface area is 816.4\(cm^2\) , What is the volume (in \(cm^3\)) of the cone? (Take \(\pi =3.14\))

SSC CGL 2019
A)

2512

B)

1256

C)

3140

D)

628

15)

The base of a right pyramid is an equilateral triangle with area \(16\sqrt3cm^2\) . If the area of one of its lateral facesis 30 \(cm^2\) , then its height (in cm.) is :
 

SSC CGL 2019
A)

\(\sqrt{739\over12}\)

B)

\(\sqrt{209\over12}\)

C)

\(\sqrt{611\over12}\)

D)

\(\sqrt{643\over12}\)

16)

A sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid?

SSC CGL 2019
A)

1 : 4

B)

1 : 2

C)

1 : 3

D)

1 : 1

17)

A right prism has height 18 cm and its base is a triangle with sides 5 cm, 8 cm and 12 cm. What is its lateral surface area (in \(cm^2\)) ?

SSC CGL 2019
A)

450

B)

468

C)

432

D)

486

18)

A 15 metre deep well with radius 2.8 metre is dug and the earth taken out from it is spread evenly to form a platform of breadth 8 metre and height 1.5 metre. What will be the length of the platform? (Take \(\pi={22\over7}\))

SSC CGL 2019
A)

28.4 metre

B)

28.8 metre

C)

30.2 metre

D)

30.8 metre

19)

A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water is removed from it, the water level goes down by 30cm. What is the width (in m) of the tank?

SSC CGL 2019
A)

4

B)

5

C)

5.5

D)

4.5

20)

The radius of the base of a right circular cylinder is 3 cm and its curved surface area is 60\(\pi cm^2\) , The volume of the cylinder (in \(cm^3\)) is:

SSC CGL 2019
A)

\(90\pi\)

B)

\(72\pi\)

C)

\(60\pi\)

D)

\(81\pi\)

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