Mensuration (Railway Maths) (Part – XI)

Total Questions: 30

21. The area of the triangle whose vertices are given by (2, 4), (−3, −1) and (5, 3) is: [RRB ALP 17/08/2018 (Morning)]

Correct Answer: (c) 10 sq. units
Solution:

22. A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold. [RRB ALP 17/08/2018 (Evening) ]

Correct Answer: (b) 4939 cm³
Solution:

23. The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is: [RRB ALP 20/08/2018 (Morning)]

Correct Answer: (c) 1 : 1
Solution:

24. From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid. [RRB ALP 20/08/2018 (Morning)]

Correct Answer: (d) 277 cm³
Solution:

25. Find the answer of given question? [RRB ALP 21/08/2018 (Morning) ]

15 small rods, each of length 23/7 m are joined to make a big rod. What then is the length of the big rod?

Correct Answer: (c)
Solution:

26. A well of diameter 3 m and depth 14 m is dug. The earth taken out of it has been evenly spread all around in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. [RRB ALP 21/08/2018 (Afternoon)]

Correct Answer: (c) 9/8 m
Solution:

27. A rectangle having 10 cm and 6 cm as its dimensions was reconstructed to make a rhombus having the same perimeter as that of the rectangle and 60° as one of its angles. The area of the rhombus, in cm², was: [RRB ALP 29/08/2018 (Morning)]

Correct Answer: (b) 32√3
Solution:

28. 15 pipes, each having the same diameter, can fill a cistern in 12 minutes. How long will it take for 6 pipes, each with double the original diameter, to fill the same cistern at the same speed of flow? [RRB ALP 29/08/2018 (Afternoon)]

Correct Answer: (a) 7.5 minutes
Solution:

29. The base of a triangle is five-sixth of 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 ratio of the corresponding heights of the triangle to the parallelogram will be: [RRB ALP 29/08/2018 (Evening) ]

Correct Answer: (c) 12 : 5
Solution:

30. The sum of the lengths of the edges of a cube is equal to twice the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is: [RRB ALP 30/08/2018 (Afternoon)]

Correct Answer: (b) 13.5 units
Solution: