Mensuration Problems for SSC CGL

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Sample questions :
Mensuration problem Questions
1. The area of a circle is 38.5 cm2 Its circumference in cm is (use π = 22/7)
A.22
B.24
C.26
D.32
2. The breadth of a rectangular hall is three-fourths of its length. If the area of the floor is 768 sq m, then the difference between the length and breadth of the hall is-
A.8 m
B.12 m
C.24 m
D.32 m
3. A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone
A.H=2R
B.H=2/3R
C.H=√3R
D.B=3R
4. A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-
A.25 cm
B.20 cm
C.24 cm
D.22 cm
5. Two right circular cylinders of equal volume have their heights in the ratio 1:2. The ratio of their radii is:
A.√(2:1)
B.2:1
C.1:2
D.1:4
6. If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is-
A.15.12 cm2
B.13.52 cm2
C.12.62 cm2
D.10.00 cm2
7. If diagonal of a cube is 12 cm, then its volume in cubic cm is-
A.8
B.12
C.24
D.3√2
8. The length and breadth of a rectangular field are in the ratio 3:2. If the perimeter of the field is 80 m, its breadth (in metres) is-
A.18
B.16
C.10
D.24
9. The radius of a circular wheel is 1.75 m. The number of revolutions it will make in travelling 11 km is-(use π=22/7)
A.800
B.900
C.1000
D.1200
10. If the radius of a sphere is increased by 2 cm, its surface area is increased by 352 cm2. The radius of sphere before change is(use π = 22/7)
A.3 cm
B.4 cm
C.5 cm
D.6 cm
11. The length of the diagonal of a square is ‘a’cm. Which of the following represents the area of the square (in sq. cm.)?
A.2a
B.a/√2
C.a2/2
D.a2/4
12. If the volumes of two cubes are in the ratio 27:1, the ratio of their is-
A.3:1
B.27:1
C.1:3
D.1:27
13. The sides of a rectangular plot are in the ratio 5:4 and its area is equal to 5000 sq.m. The perimeter of the plot is-
A.80 m
B.100 m
C.90 m
D.95 m
14. The radius of a wheel is 21 cm. How many revolution will t make in travelling 924 metres?
A.7
B.11
C.200
D.700
15. The edges of a cuboid are in the ratio 1:2:3 and its surface area is 88 cm2. The volume of the cuboid is-
A.120 cm cube
B.64 cm cube
C.48 cm cube
D.24 cm cube
16. The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is-
A.8.5 cm sq
B.8.75 cm sq
C.7.75 cm sq
D.7.50 cm sq
17. Find the length of the largest rod that can be placed in a room 16 m long, 12 m broad and 32/3 m high
A.23 m
B.68 m
C.68/3 m
D.67/3 m
18. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
A.25
B.75
C.50
D.125
19. The height of a conical tank is 60 cm and the diameter of its base is 64 cm. The cost of painting it from outside at the rate of Rs. 35 per sq m is-
A.Rs. 52.00 approx
B.Rs. 39.20 approx
C.Rs. 35.20 approx
D.Rs. 23.94 approx
20. A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by-
A.21/2 cm
B.90/7 cm
C.14 cm
D.80/7 cm