Quantitative Aptitude - Arithmetic Ability Questions

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : √5 = 2.23 and π = 22/7 ]

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

If x2 – 12x + 33 = 0, then what is the value of (x – 4)2 + [1/(x – 4)2]?

If cos -225° = x, then the value of x is

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

If x + 1x = -2, then the value of x631 + 1x632?

What is the value of cos2A/(1 + sinA)?

If 3x + 4(1-x) > 5x -2 > 3x - 4; then the value of x is