Quantitative Aptitude - Arithmetic Ability Questions

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

a and b are irrational numbers such that a+b = q is a rational number; then a­b is

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?

What is the reflection of the point (5, 3) in the line y = -2?

tan(A/2) is equal to

Find k, if the line 4x - y = 1 is perpendicular to the line 5x - ky = 2?

If a - b = -1 and ab = 6, then what is the value of a3- b3?