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objective Ques (40 results)
1)

The length, breadth and height of a cuboidal box are in the  ratio 7 : 5 : 3 and its whole surface area is 27832 sq cm. Its volume is :

SSC CGL 2020
A)

208120 \(cm^3\)

B)

280120 \(cm^3\)

C)

288100 \(cm^3\)

D)

288120 \(cm^3\)

2)

A right circular cylinder of maximum volume is cut out from a solid wooden cube.The material left is what percent of the volume (nearest to an integer) of the original cube?

SSC CGL 2019
A)

19

B)

28

C)

23

D)

21

3)

If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?

SSC CGL 2019
A)

1 : 3

B)

4 : 3

C)

2 : 9

D)

9 : 4

4)

If the diameter of the base of a cone is 42 cm and its curved surface area is 2310 \({cm}^2\), then what will be its volume (in \({cm}^3\))?

SSC CGL 2019
A)

25872

B)

19404

C)

12936

D)

38808

5)

If a cuboid of dimensions 32 cm x 12 cm x 9 cm is cut into two cubes of same size, what will be the ratio of the surface area of the cuboid to the total surface area of the two cubes?

SSC CGL 2019
A)

65 : 72

B)

37 : 48

C)

24 : 35

D)

32 : 39

6)

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6\( cm^3,\) then the height(in cm) of the prism will be:

SSC CGL 2019
A)

15.6

B)

15.2

C)

14.8

D)

14.2

7)

The lateral surface area of a cylinder is \(352 cm^2\). If its height is 7 cm, then its volume(in \(cm^3\)) is: (Take\( \pi = \frac{22}{7}\))

SSC CGL 2019
A)

1408

B)

1078

C)

1243

D)

891

8)

The internal and external radii of a hollow hemispherical vessel are 6 cm and 7 cm respectively. What is the total surface area (in \(cm^2\)) of the vessel?

SSC CGL 2019
A)

\(183 \pi\)

B)

\(189 \pi \)

C)

\(177 \pi\)

D)

\(174 \pi\)

9)

Three solid metallic spheres whose radii are 1 cm, X cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in \(cm^2\)) of the sphere with radius x cm is:

SSC CGL 2019
A)

\(144 \pi\)

B)

\(72\pi\)

C)

\(64\pi\)

D)

\(100\pi\)

10)

If the radius of a sphere is increased by 4 cm, its surface area is increased by \(464 \pi cm^2\) . What is the volume(in \(cm^3\)) of the original sphere?

SSC CGL 2019
A)

\(\frac{15625}{6}\pi\)

B)

\(\frac{35937}{8}\pi\)

C)

\(\frac{11979}{2}\pi\)

D)

\(\frac{15625}{8}\pi\)

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