Quantitative Aptitude - Arithmetic Ability Questions

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?

In ∆DEF measure of angle E is 90°. If secD = 25/7, and DE = 1.4cm, then what is the length (in cm) of side DF?

If 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

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?

Find the roots of the quadratic equation 27x2 + 57x -­ 14 = 0

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

If cost price of 5 cars is equal to selling price of 4 cars. Find the percentage of profit or loss?