Mensuration (Railway Maths) (Part – IV)

Total Questions: 50

31. The lengths of the pair of parallel sides of a trapezium are respectively 18 cm and 15 cm and the particular distance between these two sides is 12 cm. What is the area (in cm²) of the trapezium? [Level 4 (10/05/2022) Shift 1 ]

Correct Answer: (c) 198
Solution:

32. A sphere has a radius of 8 cm. A solid cylinder has a base radius of 4 cm and a height of h cm. If the total surface area of the cylinder is half of the surface area of the sphere, then find the height of the cylinder. [Level 4 (10/05/2022) Shift 1 ]

Correct Answer: (b) 12 cm
Solution:

33. The area of a square is 81x² + 72x + 16. Find the measure of each side of the square, where x > 0. [Level 4 (10/05/2022) Shift 1 ]

Correct Answer: (c)
Solution:

34. The surface area of a sphere is 61600 cm². Find the volume of the sphere(in cu m). [use π = 22/7] [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (a) 4.312 / 3
Solution:

35. A circular racing track has been developed in a field. If the difference between the outer circumference and the inner circumference of the racing track is 33 m, then find the width of the track (in m). (use π = 22/7) [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (a)
Solution:

36. The length of each edge of a cube is 2.6 cm. What is the total surface area (in cm²) of the cube? [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (b) 40.56
Solution:

Side of the cube = 2.6 cm
Total surface area of cube
= 6a² = 6 × (2.6)²
= 40.56 cm²

37. A solid metallic sphere of radius 3 cm is melted and drawn into a wire of thickness 4 mm. What is the length of the wire (in m)? [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (c) 9
Solution:

38. The area of a rectangle is 453.6 m² If its length is 27 m, then what is the perimeter of the rectangle? [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (b) 87.6m
Solution:

39. The ratio of the length width and height of a cuboid is 4 : 3 : 5 and the sum of the lengths of all its edges is 144 cm. Find the total surface area of the cuboid. [Level 5 (12/06/2022) Shift 1 ]

Correct Answer: (d) 846 cm²
Solution:

40. The slant height of a right circular cone is 13 cm and the area of the base is 144 Πcm². Find the volume (in cm³) of the cone. [Level 5 (12/06/2022) Shift 2 ]

Correct Answer: (c) 240 π
Solution: