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Question 1 of 25
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:
Question 2 of 25
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Question 3 of 25
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:
Question 4 of 25
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Question 5 of 25
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 8 g/cm3, then the weight of the pipe is:
Question 6 of 25
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Question 7 of 25
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
Question 8 of 25
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface
Question 9 of 25
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:
Question 10 of 25
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 8 m, the volume of the box (in m3) is:
Question 11 of 25
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
Question 12 of 25
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:
Question 13 of 25
What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
Question 14 of 25
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?
Question 15 of 25
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?
Question 16 of 25
A cuboidal block of 6 cm x 9 cm x 12 cm is cut up into an exact number of equal cubes The least possible number of cubes will be:
Question 17 of 25
What length of solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long?
Question 18 of 25
X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter or the base of Y. If the height of X is doubled, the volume of X becomes:
Question 19 of 25
How many cubes of 3 cm edge can e cut out of a cube of 18 cm edge?
Question 20 of 25
The ratio of total surface area to lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is
Question 21 of 25
A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is
Question 22 of 25
The height of a closed cylinder of given volume and the minimum surface area is
Question 23 of 25
A powder tin has a square base with side 8 cm and height 14 cm. Another tin has a circular base with diameter 8 cm and height 14 cm. The difference in their capacities is
Question 24 of 25
Two cylindrical vessels with radii 15 cm and 10 cm and heights 3s cm and 1s cm respectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is:
Question 25 of 25
If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one?