Quantitative Aptitude - Arithmetic Ability Questions

If 12x2 - ax + 7 = ax2 + 9x + 3 has only one (repeated) solution, then the positive integral solution of a is

Find the average of all prime numbers between 20 and 50.

If the standard deviation of a population is 4.5, what would be the population variance?

In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?

What are the components of X6 - X4 - X5 - X4 + X2 - 4?

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is

The volume of a hemisphere is 19404 cm3. Find its diameter (in cm).

The volume of a right circular cone, with a base radius the same as its altitude, and the volume of a hemisphere are equal. The ratio of the radii of the cone to the hemisphere is