Quantitative Aptitude - Arithmetic Ability Questions

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

If sec2A cosec2A = x, then x is

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

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?

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 :

By which least number should 5000 be divided so that it becomes a perfect square?

ΔPQR is right angled at Q. If m∠R = 45°, then find the value of (tanP - 1/2).

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?