Mensuration (Railway Maths) (Part – X)

Total Questions: 50

41. A match box measures 3 cm × 4 cm × 5 cm. What will be the volume (in cm³) of a packet containing 12 such boxes? [ALP Tier II 21/01/2019 (Afternoon)]

Correct Answer: (b) 720
Solution:

42. The length and breadth of a rectangle are 6 cm and 8 cm respectively. What will be the area (in cm²) of a square whose side is equal to the length of the diagonal of this rectangle? [ALP Tier II 21/01/2019 (Evening)]

Correct Answer: (a) 100
Solution:

43. If the total area of a cube is 96 cm², then what is the length of the side of the cube? [ALP Tier II 21/01/2019 (Evening)]

Correct Answer: (b) 4
Solution:

44. Find the length of the diagonal of a cube whose side is 3 cm? [ALP Tier II 21/01/2019 (Morning)]

Correct Answer: (c) 3√3 cm
Solution:

Diagonal of cube = side × √3
Side of cube(a) = 3
Then, diagonal of cube = 3√3 cm

45. A solid sphere of diameter 12 cm is melted and cast into three spheres. If the diameters of two spheres are 6 cm and 10 cm respectively, then what will be the surface area (in cm²) of the third sphere? [ALP Tier II 21/01/2019 (Morning)]

Correct Answer: (d) 64π
Solution:

46. What is the diameter (in cm) of a sphere of area 1386 cm²? [ALP Tier II 23/01/2019 (Morning)]

Correct Answer: (a) 21
Solution:

47. The total surface area of a cuboid is 236 cm 2 . Its length is 8 cm and height is 6 cm. Find its breadth (in cm). [ALP Tier II 23/01/2019 (Afternoon) ]

Correct Answer: (d) 5
Solution:

48. How many bricks will be required to build a wall of 1.6 m x 1.0 m x 20 cm, if the size of each brick is 10 cm x 8 cm x 4 cm? [ALP Tier II 08/02/2019 (Morning) ]

Correct Answer: (c) 1,000
Solution:

49. Find the area of rhombus whose diagonals are given as 25 cm and 26 cm?. (in cm²) [RPF Constable 17/01/2019 (Evening) ]

Correct Answer: (a) 1326
Solution:

50. The sides of a quadrilateral are in the ratio 2 : 3 : 4 : 5 and its perimeter is 196 cm. Find the smallest side. (in cm)? [RPF Constable 18/01/2019 (Afternoon) ]

Correct Answer: (b) 28
Solution: