Mensuration (Railway Maths) (Part – III)

Total Questions: 50

11. If the diameter of a sphere is 12 cm, then find the volume of the sphere. [Use π = 22/7] [Group D 17/09/2022 (Evening)]

Correct Answer: (c)
Solution:

12. A closed metallic cylindrical container is 1.05 m high and its base radius is 35 cm. If the metal sheet costs ₹150 per m², then find the cost of the material used in this container. [Use π = 22/7] [Group D 18/09/2022 (Morning)]

Correct Answer: (b) ₹462
Solution:

13. If the volume of a sphere is divided by its surface area, the result is 9 cm. The radius (in cm) of the sphere is: [Group D 18/09/2022 (Afternoon)]

Correct Answer: (a) 27
Solution:

14. An open water drum is in the form of a cylinder. The height of the drum is 7 m and its internal diameter is 21 m. Find the area (in m²) that needs to be painted if one wants to paint the inside of the drum. (Take π = 22/7) [Group D 18/09/2022 (Evening)]

Correct Answer: (d) 808.5
Solution:

15. If the ratio of the areas of two squares is 2 : 3, then the ratio of the perimeters of these two squares, in the order mentioned, is: [Group D 19/09/2022 (Morning)]

Correct Answer: (d) √2 : √3
Solution:

16. The radius of the base of a cylinder is increased from 4 cm to 16 cm, but its curved surface area remains unchanged. If the initial height of the cylinder was 4 cm, what will be its new height? [Group D 19/09/2022 (Morning)]

Correct Answer: (b) 1 cm
Solution:

17. The volume (in cm³) of a right circular cone, whose slant height is 28 cm and radius of base is 21 cm is ________. (Take π = 22/7) [Group D 19/09/2022 (Evening)]

Correct Answer: (c) 3234√7
Solution:

Slant height = 28 cm
Radius = 21 cm
Height = √(28² - 21²) = 7√7
Volume = 1/3 × 22/7 × 21 × 21 × 7√7
= 3234√7

18. The length of each edge of a cube is increased by 50%. The percentage increase in the surface area is: [Group D 19/09/2022 (Evening)]

Correct Answer: (d) 125%
Solution:

19. A field is in the form of a triangle. Its area is 25000 m² and the length of the base is 500 m. Its height (in m), corresponding to the given base, is_______ [Group D 20/09/2022 (Morning) ]

Correct Answer: (d) 100
Solution:

20. The dimensions of a cuboidal storage space are 20 m, 25 m, and 10 m. How many boxes of dimension 2 m × 1.25 m × 1 m can be kept in it? [Group D 20/09/2022 (Afternoon)]

Correct Answer: (b) 2000
Solution: