Find the HCF of 3a^3-27a and a^3+27.

Divide Rs 21,000 into two parts such that the annual compound amount of the first part for 3 years is equal to the compound amount of the second part for 2 years at a 10 % rate in both. 0

Simplify the given algebraic expression. 0

Factorize the expression 2x^4 + 625 1

Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°. 0

If the length of the side of the base(BC) is 16 cm and the length of the lateral edge(PD) is 2√41 cm, find the volume of the pyramid. 1

If volume of cylinder with diameter of its base 14 cm is 2156 cm^3, find the height? 1

The total surface area of cone whose base is 5 m is 282 6/7 m^2. Find the slant height of the cone. 0

In the given figure, AB= 10 cm, AA' =20 cm, AC= 8 cm and the area of rectangular surfaces of the prism is 480 square cm, find the length of BC. 1

The present price of a motorcycle is Rs 225000. If its price is depreciated per year by 8%, after how many years the price of the motorcycle will be Rs 175204.8? Find it. 1

In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC. 1