For the following questions answer them individually
A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. The number of days required for all the three put together to complete the work is
The area (in cm$$^2$$) of a right angled isosceles triangle whose diagonal length is 40 cm, is
If the area and perimeter of a rectangle are respectively 2016 cm$$^2$$ and 260 cm, then the difference between the length of its sides is
A tent is in the form of a cylinder surmounted by a cone. The radius of the base of the cylinder is 30 feet and its height is 10 feet. If the total height of the tent is 20 feet, then the volume enclosed by the tent (in cubic feet) is
A trapezium has height 18 cm. If the difference between the lengths of the parallel sides is 24 cm and its area is 504 sq.cm, then the length of its longer side (in cms) is
Let S be the surface area of a cube of edge 9 cm. This cube is cut into smaller cubes of edge 3 cm each. If $$S_1$$ is the sum of the surface areas of all the smaller cubes then $$S:S_1 =$$
The larger and smaller radii of a frustum of a cone are 18 ems and 8 ems respectively. If the height of that frustum is 12 cm then its volume (in cubic centimetres) is