Mensuration (Railway Maths) (Part – I)

Total Questions: 50

31. A square park having a side 22 m has two roads each 2m wide running in the middle of it and parallel to its length and breadth. What will be the cost of gravelling the path at the rate of ₹100/m²? [ALP Tier - I 20/08/2018 (Afternoon)]

Correct Answer: (b) ₹8,400
Solution:

32. A sphere is split in the ratio 1:3. The larger part is molded into a cone having a height equal to the radius of its base, while the smaller part is molded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the base of the cone to the height of the cylinder? [ALP Tier - I 30/08/2018 (Afternoon)]

Correct Answer: (b) ³√9 : 1
Solution:

33. From each corner of a square with an edge of 4 cm, a 1 cm segment was chopped off from each side containing a vertex. What is the perimeter and the area of the octagon thus created? [ALP Tier - I 30/08/2018 (Afternoon)]

Correct Answer: (a) (8 + 4√2) cm; 14 cm²
Solution:

34. The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume of the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is: [ALP Tier - I 31/08/2018 (Afternoon)]

Correct Answer: (b) 36 units
Solution:

35. What will be the height of a cuboid made by melting a cube of diagonal 21√3 cm, if the length of the cuboid is equal to the side of the cube and the breadth of the cuboid is 10.5 cm? [RPF S.I. 06/01/2019 (Afternoon)]

Correct Answer: (a) 42
Solution:

36. If the perimeter of one face of a cube is 24 cm, then its volume is: [Group D 17/08/2022 (Morning)]

Correct Answer: (d) 216 cm³
Solution:

37. If the volume of a sphere is 36π cm³, then the diameter of the sphere is: [Group D 17/08/2022 (Afternoon)]

Correct Answer: (d) 6 cm
Solution:

38. The diagonal and one side of a rectangular plot are 65 m and 63 m, respectively. What is the perimeter (m) of the rectangular plot? [Group D 18/08/2022 (Afternoon)]

Correct Answer: (a) 158
Solution:

39. The total surface area of a cylinder of diameter 10 cm is 330 square centimeters. Find the height (cm) of the cylinder? [Group D 18/08/2022 (Evening)]

Correct Answer: (c) 5.5
Solution:

40. How many spherical solid marbles, each having a radius of 0.3 cm, can be made from a solid sphere having a radius of 6 cm? [Group D 18/08/2022 (Evening)]

Correct Answer: (c) 8000
Solution: