Mensuration (Railway Maths) (Part – VIII)

Total Questions: 50

31. A hemispherical bowl, with an internal radius of 12 cm, contains a liquid. The liquid is to be filled into cylindrical shaped small bottles with a radius of 3 cm and a height of 4 cm. How many bottles would be required to completely empty the bowl? [RRB NTPC 11/03/2021 (Evening)]

Correct Answer: (d) 32
Solution:

32. Find the ratio of the area of the incircle to that of the circumcircle of a square. [RRB NTPC 12/03/2021 (Morning)]

Correct Answer: (a) 1 : 2
Solution:

33. Find the area of a rhombus whose side measures 13 cm and one diagonal measures 24 cm. [RRB NTPC 12/03/2021 (Morning)]

Correct Answer: (b) 120 cm²
Solution:

34. The length of a rectangle is 30cm and its with is 2/3 of its length. What will be the area of a square having a perimeter that is identical to the perimeter of the rectangle described here? [RRB NTPC 12/03/2021 (Evening) ]

Correct Answer: (c) 625 cm²
Solution:

35. A hollow sphere of internal and external diameter 4 cm and 8 cm is melted into cone of base diameter 8 cm. The height of the cone is: [RRB NTPC 12/03/2021 (Evening)]

Correct Answer: (b) 14 cm
Solution:

36. A cistern 8 m long and 4 m wide contains water up to a depth of 1 m 22 cm. Then the total area of the wet surface is: [RRB NTPC 13/03/2021 (Morning)]

Correct Answer: (c) 61.28 m²
Solution:

37. The diagonal of a cube is 6√2 cm. The surface area of the cube is: [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (b) 144 cm²
Solution:

38. A cylinder has 14 cm height and 660 cm² curved surface area. The volume of the cylinder is: (Take π = 22/7) [RRB NTPC 13/03/2021 (Evening)]

Correct Answer: (a) 2475 cm³
Solution:

39. Two regular polygons have the same number of sides. Their lengths are in the ratio 7 : 5 and the area of the larger polygon is 1127 cm². Find the area of the smaller polygon. [RRB NTPC 14/03/2021 (Morning)]

Correct Answer: (d) 575 cm²
Solution:

40. Two concentric circles drawn with the radius of inner circle 6 cm and outer circle radius 50% more than inner circle. What is the area of the annulus formed between two circles? [RRB NTPC 14/03/2021 (Morning) ]

Correct Answer: (c) 990/7 cm²
Solution: