Quantitative Aptitude - Arithmetic Ability Questions

If tanA + tanB = X, then the value of X is

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 5% per annum is Rs 45. The sum is

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?

If x = x2+11 2 - 2, then x3 + 5x2 + 12x is

If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is