Mensuration (Railway Maths) (Part – XI)

Total Questions: 30

11. The whole area of the square shape of glass is 1156 cm². Which is placed above a table. The width between the table and the glass piece is 9 cm. Tell table length. (in cm) [RPF S.I. 10/01/2019 (Morning) ]

Correct Answer: (a) 52
Solution:

12. The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is: [RRB ALP 09/08/2018 (Morning) ]

Correct Answer: (b) ∛4 : ∛3
Solution:

13. The surface areas of three faces of a cuboid sharing a vertex are 20 m², 32 m² and 40 m². What is the volume of the cuboid? [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (d) 160 m³
Solution:

14. The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be: [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (d) 6.25π cm²
Solution:

15. A lawn roller makes 20 revolutions in one hour. The radians it runs through in 25 minutes is: [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (a) 50π / 3
Solution:

16. A shuttle cock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The external diameters of the frustum are 5 cm and 2 cm. The height of the entire shuttle cock is 7 cm. Find the external surface area. [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (b) 74.26 cm²
Solution:

17. The area of a square is equal to its side, if the side is 1 unit. [RRB ALP 10/08/2018 (Afternoon)]

Correct Answer: (a) Always
Solution:

Area of square when side is 1 unit = 1² = 1
Clearly, we can see that the area of a square is always equal to its side when the side is 1 unit.

18. The base of a triangle is half the base of a parallelogram having the same area as that of the triangle. The ratio of the corresponding heights of the triangle to the parallelogram will be: [RRB ALP 10/08/2018 (Afternoon)]

Correct Answer: (d) 4 : 1
Solution:

19. The area of the base of a cone is 64π cm² while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be: [RRB ALP 14/08/2018 (Afternoon)]

Correct Answer: (b) 2 ³√30 cm
Solution:

20. The length of each side of a rhombus is 25 m and the length of one of its diagonals is 14 m. Find the area of the rhombus. [RRB ALP 14/08/2018 (Evening)]

Correct Answer: (a) 336 m²
Solution: