Quantitative Aptitude - Arithmetic Ability Questions

A car travels from A to B with 40 Km/h and returns from B to A with 60 Km/h. Its average speed during the whole journey is

Dealer purchased an article for Rs. 900 and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

614% of 1600 + 1212% of 800 is equal to

What is the value of sin 5π/3?

If (x - 4) (x2 + 4x + 16) = x3 - P, then P is equal to

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

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

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?