Quantitative Aptitude - Arithmetic Ability Questions

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder 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 :

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

If secA/√(sec2A ­- 1) = x, then value of x is

What is the value of tan 7π/4?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

Select the odd word/letters/number/number pair from the given alternatives.