Quantitative Aptitude - Arithmetic Ability Questions

If the value 5 = 2.236,then calculate the value of 405 - 1280-125

In the figure, a circle touches quadrilateral ABCD. If AB = 2x + 3, BC = 3x - 1, CD = x + 6 and DA = x + 4, then what is the value of x?

The line passing through point (-3,1) and point (x,5) is parallel to the line passing through point (-2,-1) and point (6,3). What is the value of x?

The sum of the lengths of the edges of a cube is equal to the perimeter of a square. If the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

In an army selection process, the ratio of selected to unselected was 6:1. If 90 less had applied and 30 less selected, the ratio of selected to unselected would have been 8:1. How many candidates had applied for the process?

What is the value of (sin60° + 2/√3) ?

If x - y = -9 and xy = -20, then find x2 + y2 ?

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?