RRB Group D Mensuration Questions with Answers for CBT

RRB Group D Mensuration Questions with Answers: Mensuration is an important topic in the RRB Group D CBT exam, covering questions related to areas, perimeters, volumes, and surface areas of various geometric shapes. These questions test the candidate’s ability to calculate measurements of 2D and 3D figures such as squares, rectangles, circles, triangles, cubes, cylinders, and spheres.

Practicing these questions helps improve speed and accuracy, which is crucial for scoring well in the exam.

RRB Group D Mensuration Questions with Answers for CBT

RRB Group D Mensuration Questions

Here are the questions:

Q.1. The dimensions of a cuboidal storage space are 20 m, 25 m, and 10 m. How many boxes of dimension 2 m × 1.25 m × 1 m can be kept in it?
a) 8000
b) 2000
c) 6000
d) 4000

Q.2. What will be the area (in cm²) of a semicircle whose perimeter is 72 cm? (Take π = 22/7)
a) 308
b) 144
c) 616
d) 154

Q.3. Three cubes, each of edge 5 cm, are arranged next to each other. The surface area of the resulting cuboid is:
a) 350 cm²
b) 27 cm²
c) 125 cm²
d) 37.5 cm²

Q.4. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm, and 30 cm, and the parallelogram stands on a base of 28 cm, then the height of the parallelogram is:
a) 11 cm
b) 10 cm
c) 12 cm
d) 14 cm

Q.5. If the length of each side of a cube is increased to three times its initial length, then its volume will become ______ times its initial volume.
a) 27
b) 9
c) 6
d) 3

Q.6. A cube, each of whose side is 5 cm, will have a total surface area of ______ cm².
a) 80
b) 120
c) 150
d) 60

Q.7. The ratio of the volumes of two cylinders A and B having the radii of their bases as 2 cm and 3 cm, respectively, and having the same height, is:
a) 2:3
b) 3:2
c) 4:9
d) 9:4

Q.8. 2250 m of wire is used to fence a rectangular plot in three rounds. The length of the plot exceeds the breadth by 5 m. What is the length of the plot?
a) 185 m
b) 210 m
c) 215 m
d) 190 m

Q.9. A solid metallic cone of diameter 36 cm and height 12 cm is melted and made into identical solid spheres, each of radius 3 cm. How many such spheres can be made?
a) 38
b) 34
c) 36
d) 32

Q.10. Find the perimeter (in cm) of a square having an area equal to the area of a rhombus, the measure of whose diagonals are 8 cm and 16 cm.
a) 35
b) 34
c) 36
d) 32

Q.11. The total surface area of a solid hemisphere is 1848 cm². What is the length of the diameter of the flat surface of the hemisphere? [Use π = 22/7]
a) 14
b) 35
c) 28
d) 21

Q.12. The length and width of a rectangular plot of land are 10.5 m and 8 m, respectively. Find the cost of laying grass in the entire plot at ₹15.25 per square metre.
a) ₹1,281
b) ₹1,293
c) ₹1,275
d) ₹1,302

Q.13. A conical tent with base diameter 10 m and height 12 m has been made. An additional 10% cloth is required as wastage in stitching the tent. Find the area of the cloth required (in m²). [Use π = 3.14]
a) 78.5π
b) 65π
c) 60π
d) 71.5π

Q.14. The sides of two squares are in the ratio 4:3, and the sum of their areas is 225 cm². Find the perimeter of the smaller square (in cm).
a) 48
b) 30
c) 44
d) 36

Q.15. If three solid gold spherical beads of radii 6 cm, 8 cm, and 10 cm, respectively, are melted into one spherical bead, then what is the radius (in cm) of the larger bead?
a) 13 cm
b) 15 cm
c) 12 cm
d) 16 cm

Q.16. The cost of printing a cube on all the external surfaces at the rate of ₹2/cm² is ₹588. Find the volume of the cube (in cm³).
a) 216
b) 274.625
c) 343
d) 512

Q.17. The total surface area of a hemisphere is 108π cm². What is the volume of the hemisphere?
a) 144π cm³
b) 54/3π cm³
c) 216π cm³
d) 108π cm³

Q.18. The area of a rectangle whose length and width are in the ratio 9:5 is given as 180 cm². Find the perimeter of the rectangle.
a) 56 cm
b) 42 cm
c) 54 cm
d) 70 cm

Q.19. The ratio of the radius of a sphere to the radius of a hemisphere is 4:5, respectively. The surface area of the sphere is what percentage more than the curved surface area of the hemisphere?
a) 26%
b) 25%
c) 28%
d) 27%

Q.20. A field is in the shape of a rhombus whose side is 122 m. The length of one of its diagonals is 240 m. What is the area (in m²) of the field?

a) 5280
b) 1320
c) 1760
d) 3080

RRB Group D Mensuration Answers

Here are the answers:

1. b
2. a
3. a
4. c
5. a
6. c
7. c
8. d
9. c
10. d
11. c
12. a
13. d
14. d
15. c
16. c
17. a
18. a
19. c
20. a