41)

A solid metallic cube of side 20cm is melted and recast into a cuboid of length 40 cm and breadth 40 cm. What is the  length (in cm) of the body diagonal of the cuboid?

SSC CHSL 2021

A)

\(5\sqrt {129}\)

B)

\(129\sqrt {5}\)

C)

\(15\sqrt {43}\)

D)

\(43\sqrt {15}\)

42)

If the ratio of the curved surface area and volume of a right circular cylinder is 5 ∶ 7, then its radius is:

SSC CHSL 2021

A)

2.6 unit

B)

2.8 unit

C)

3.8 unit

D)

3.2 unit

43)

What is the length (in cm) of the longest rod that can be fitted in a box dimensions 28 cm × 4 cm × 10 cm ?

SSC CHSL 2021

A)

30

B)

36

C)

42

D)

25

44)

The three medians RQ, SP, and TN of ΔRST intersect at point O. If the area of  \(\triangle RST\) is 48 cm², then the area of the quadrilateral SQON is:

SSC CHSL 2021

A)

12 cm²

B)

20 cm²

C)

16 cm²

D)

18 cm²

45)

A solid metallic right circular cylinder has diameter 32 cm and height 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?

SSC CHSL 2021

A)

25

B)

12

C)

10

D)

14

46)

A solid metallic cube of side 4.4 cm is melted and recast in the form of a wire of radius 2 mm. Find the length (in cm) of the wire. (Use π = 22/7)

SSC CHSL 2021

A)

338.8

B)

767.6

C)

2710.4

D)

677.6

47)

if the diameter of the base of a cone is 18 cm and its curved surface area is \(424\frac{2}{7} \)cm², then its height will be: (Take π = 22/7)

SSC CHSL 2021

A)

14 cm

B)

12 cm

C)

15 cm

D)

10 cm

48)

A solid metallic hemisphere of radius 6.3 cm is melted and recast into a right circular cylinder of radius 9 cm. What is the height (in cm, correct to one decimal place) of the cylinder?

SSC CHSL 2021

A)

1.9

B)

2.1

C)

2.7

D)

2.5

49)

The volume of a metallic cylindrical pipe is 3564 cm³. If its external radius is 12 cm and thickness is 3 cm, then the length of the pipe will be: (take π = 22/7)

SSC CHSL 2021

A)

22 cm

B)

18 cm

C)

16 cm

D)

20 cm

50)

The radius of a sphere is 9 cm. It is melted and drawn into a wire of radius 0.3 cm. The length of the wire is:

SSC CHSL 2021

A)

118 m

B)

108 m

C)

112 m

D)

106 m