Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.
14m
15m
16m
17m
Q.2.
A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
6
9
24
30
Q.3.
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is
3.6 kg
3.696 kg
36 kg
36.9 kg
Q.4.
There is a cylinder circumscribing the hemisphere such that their bases are common. Find the ratio of their volumes
3/2
5/2
7/2
9/2
Q.5.
The capacity of a tank of dimensions (8m x 6m x 2.5m)is
120 litres
1200 litres
12000 litres
120000 litres
Q.6.
A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
30
60
90
120
Q.7.
In the figure , then what is the value (in deg) of ?
40
50
60
90
Q.8.
What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
344.35 sq.cm
462 sq.cm
498.35 sq.cm
None of these
Q.9.
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?
2413 sq.m
1234 sq.m
4312 sq.m
2143 sq.m
Q.10.
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
49
50
53.5
55
Q.11.
Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
35000
45000
55000
65000
Q.12.
A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
2 : 1
3 : 2
25 : 18
27 : 20
Q.13.
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
5600
6000
6400
7200
Q.14.
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?
100 π
101/π
99 π/12
54/13π
Q.15.
The diagonal of a cube is cm. Find its surface area
216 sq.cm
316 sq.cm
416 sq.cm
516 sq.cm
Q.16.
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
6
8
12
16
Q.17.
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
4830
5120
6420
8960
Q.18.
How many cubes of 10cm edge can be put in a cubical box of 1m edge
10
100
1000
10000
Q.19.
The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:
9 cm
18 cm
20 cm
41 cm
Q.20.
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
12 pi cub.cm
15 pi cub.cm
16 pi cub.cm
20 pi cub.cm
Q.21.
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
90 cm
1 dm
1 m
1.1 cm
Q.22.
How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
5600
600
6400
7200
Q.23.
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface
40pi sq.m
50pi sq.m
60pi sq.m
70pi sq.m
Q.24.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
720
900
1200
1800
Q.25.
Ratio between heights of two cylinder in the ratio 3:Their volumes are in the ratio 27:Find ratio between their radius ?
1:3
2:1
3:4
4:7
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