81)

If the volume of a sphere is 4,851 cm³, then what is this diameter (in cm)? (Take π = 22/7 )

SSC CGL 2022

A)

12

B)

16

C)

18

D)

21

82)

From the body of a solid cube of edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be \(163 {1 \over 3}\) cm³. What is the diameter (in cm) of the sphere? (Take π = 22/7 )

SSC CGL 2022

A)

10

B)

7

C)

8

D)

5

83)

Two similar cuboid-shaped jugs have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller jug is 80 cm³, what is the capacity of the bigger jug (in cm³)?

SSC CGL 2022

A)

216

B)

192

C)

120

D)

270

84)

The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:

SSC CGL 2022

A)

810000

B)

440000

C)

250000

D)

360000

85)

The total surface area of a right pyramid, with base as a square of side 8 cm, is 208 cm². What is the slant height (in cm) of the pyramid?

SSC CGL 2022

A)

9

B)

10

C)

7

D)

8

86)

The length of the body diagonal of a cube is \(8 \sqrt{3}\) cm. What is the volume (in cm³) of the cube?

SSC CGL 2022

A)

512

B)

343

C)

216

D)

729

87)

What is the sum of the numbers between 400 and 500 such that when they are divided by 6, 12 and 16, it leaves no remainder?

SSC CGL 2022

A)

960

B)

1024

C)

912

D)

480

88)

A solid cone of radius 7 cm and height 7 cm was melted along with two solid spheres of radius 7 cm each to form a solid cylinder of radius 7 cm. What is the curved surface area (in cm²) of the cylinder?
(Use \(π = \frac{22}{7}\) )

SSC CGL 2022

A)

924

B)

482

C)

880

D)

2196

89)

A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?

SSC CGL 2022

A)

1.33 cm

B)

1.35 cm

C)

1.63 cm

D)

1.45 cm

90)

A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.

SSC CGL 2022

A)

324 m

B)

108 m

C)

143 m

D)

234 m