Quantitative Aptitude - Arithmetic Ability Questions

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

If -5x3+2 = x-6, then find the value of x?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

If tan ­-5π/3 = x, then the value of x is