Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 15, then what is the value of a3- b3?

The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by

If √(1 - cos2A)/cosA = x, then the value of x is

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

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.

If 2x - 3(2x - 2) > x - 1 < 2 + 2x; then x can take which of the following values?

If (6x ­- 1) -­ (8x -­ 5) = 7, then the value of x is _______ .

The least number which when divides 37044, gives the result a perfect cube, is: