Quantitative Aptitude - Arithmetic Ability Questions

If sin - 4π/3 = x, then the value of x is

The upstream speed of the boat is 40 kmph and the speed of the boat in still water is 55 kmph. What is the downstream speed of the boat?

If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

The diagonal of a square is 12 cm what is the length (in cm) of its side?

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

A pentagonal prism has 15 edges. How many vertices does it have?

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)