Mensuration (Railway Maths) (Part – III)

Total Questions: 50

41. Using π = 22/7, find the circumference of a circle whose diameter is 38.5 cm. [Group D 29/09/2022 (Evening)]

Correct Answer: (b) 121 cm
Solution:

42. The external length, breadth and depth of a cuboidal iron storage space are 4 m, 3.6 m, and 1.5 m, respectively. It is open at the top. What is the cost (in ₹) of painting its outer surface at the rate of ₹55 per m²? [Group D 30/09/2022 (Morning)]

Correct Answer: (b) 2,046
Solution:

43. The width of a rectangle is one-third of its length. If the perimeter of the rectangle is 64 cm, find the width of the rectangle. [Group D 30/09/2022 (Morning)]

Correct Answer: (c) 8 cm
Solution:

44. Find the total surface area of a solid right circular cylinder whose radius of base is 2 cm and the height is 10 cm. [Group D 30/09/2022 (Morning)]

Correct Answer: (a) 48π cm²
Solution:

45. The radius of the base of a right circular closed cylinder is 3.5 cm and its total surface area is 269.5 cm². What is the ratio of its height to its diameter? (Take π = 22/7) [Group D 30/09/2022 (Afternoon)]

Correct Answer: (c) 5 : 4
Solution:

46. The area of a right-angled triangle, whose base is 24 cm and hypotenuse is 26 cm, is: [Group D 30/09/2022 (Afternoon)]

Correct Answer: (b) 120 cm²
Solution:

47. A toy is made of a solid cube and a solid cuboid. Each side of the cube is 5 cm long, and the cuboid has dimensions 5 cm × 2 cm × 8 cm. What is the volume of the toy? [Group D 30/09/2022 (Evening)]

Correct Answer: (c) 205 cm³
Solution:

48. One side of a triangle is 7 metres longer than twice the smallest side. Another side is 5 metres longer than three times the smallest side. If the perimeter of the triangle is 90 metres, find the length of its smallest side. [Group D 30/09/2022 (Evening)]

Correct Answer: (c) 13 m
Solution:

49. A solid metallic cuboid of dimensions 9 cm × 32 cm × 48 cm is melted and recast into 8 identical cubes. What is the sum of the lateral surface areas (in cm²) of 5 such cubes? [Group D 30/09/2022 (Evening)]

Correct Answer: (c) 2880
Solution:

50. The volume of a right circular cylinder is 814 cm³. If the radius and the height of the cylinder are equal, find the height (in cm) of the cylinder. [Group D 06/10/2022 (Morning)]

Correct Answer: (c) ∛259
Solution: