Mensuration (Railway Maths) (Part – X)

Total Questions: 50

31. The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, what is the area of the field? [RRB JE 01/06/2019 (Evening)]

Correct Answer: (b) 37500 m²
Solution:

32. If each side of a cube becomes three times of itself, then its volume ______ of its original volume. [RRB JE 01/06/2019 (Evening) ]

Correct Answer: (b) Becomes 27 times
Solution:

33. Height 'h' of a cylinder equals the circumference of its base. Then, the curved surface area in terms of 'h' is: [RRB JE 02/06/2019 (Morning) ]

Correct Answer: (d) h²
Solution:

According to the question, Height (h) = 2πr = circumference of base curved surface area of a cylinder
= 2 π𝑟ℎ = h × h = h²

34. If the volume of a sphere is divided by its surface area, the result is 27 cm. Find the radius of the sphere. [RRB JE 02/06/2019 (Afternoon)]

Correct Answer: (b) 81 cm
Solution:

35. The capacity of a cylindrical tank is 3080 m³. If the radius of its base is 7 m, find the depth of the tank. [RRB JE 02/06/2019 (Evening)]

Correct Answer: (d) 20 m
Solution:

36. Find the number of carpets required to spread along the floor of a room of dimensions 40 m × 24 m, if each carpet measures 6 m × 4 m. [RRB JE 02/06/2019 (Evening)]

Correct Answer: (a) 40
Solution:

37. Mark the right statements. [RRB JE 02/06/2019 (Evening) ]

1. The lateral surfaces of a pyramid are triangles with a common vertex.
2. A pyramid is a special case of a prism.
3. Volume of a pyramid
= 1/3  × base area × vertical height
4. Volume of prism
= 1/2 base area × height

Correct Answer: (b) Statements 1 and 3 only
Solution:

38. A rectangular sheet has its length equal to twice the breadth. If V₁, V₂ are the volumes of the cylinders formed by folding the sheet along its length and along its breadth, then find the ratio V₁ to V₂. [RRB JE 27/06/2019 (Morning) ]

Correct Answer: (c) 2 : 1
Solution:

39. A solid cylinder has a total surface area of 462 cm². Its curved surface area is one-third of the total surface area. find its volume. [RRB JE 27/06/2019 (Evening) ]

Correct Answer: (c) 539 cm³
Solution:

40. The curved surface area of a cone of radius 14 cm is 2200 cm². Find its height (in cm). [ALP Tier II 21/01/2019 (Afternoon)]

Correct Answer: (a) 48
Solution: