Mensuration (Railway Maths) (Part – II)

Total Questions: 50

11. In a parallelogram ABCD, the length of the line joining the midpoints of AD and AC is 2 units. If the perimeter of the parallelogram is 20 units, then find the length of AD. [Group D 26/08/2022 (Afternoon) ]

Correct Answer: (a) 6 units
Solution:

12. If the breadth and height of a closed cuboid are 25% and 50% respectively of its length 12 cm, find the total surface area of the cuboid. [Group D 26/08/2022 (Evening)]

Correct Answer: (a) 252 cm²
Solution:

13. By what percent does the curved surface area of a cylinder decrease, if the radius is increased by 10% and the height is decreased by 40%? [Group D 29/08/2022 (Morning)]

Correct Answer: (b) 34%
Solution:

14. If the total surface area of a closed cube is 1014 cm², then the length of each edge of this cube is: [Group D 29/08/2022 (Evening)]

Correct Answer: (b) 13 cm
Solution:

15. Find the perimeter of a rhombus whose diagonals are of lengths 5 cm and 12 cm. [Group D 30/08/2022 (Morning)]

Correct Answer: (b) 26 cm
Solution:

16. Find the volume of a sphere whose diameter is 42 m. [Group D 30/08/2022 (Evening)]

Correct Answer: (c) 38,808 m³
Solution:

17. Find the capacity of a spherical container of thickness 2 cm and external radius 9 cm. (Rounded off to 2 decimal places.) (Use π = 22/7) [Group D 01/09/2022 (Morning)]

Correct Answer: (c) 1437.33 cm³
Solution:

18. Five solid cubes, each of volume 216 cm³, are joined end to end in a linear manner only (single row arrangement) to form a cuboid. What is the lateral surface area (in cm²) of the cuboid? [Group D 01/09/2022 (Afternoon)]

Correct Answer: (b) 432
Solution:

19. The area of a square is 900 cm². Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm²) of the hexagon? [Group D 01/09/2022 (Afternoon)]

Correct Answer: (b) 600√3
Solution:

20. Find the area of a trapezium (in sq. unit) with parallel sides of length 3 unit and 5 unit and the shortest distance between its parallel sides is 6 unit. [Group D 01/09/2022 (Evening) ]

Correct Answer: (c) 24
Solution: