Quantitative Aptitude - Arithmetic Ability Questions

If a3 + a - 1 = 0 then find the value of a6 + a4 + a - 2

The simple interest on a sum for 5 years is two­fifth of the sum. The rate of interest per annum is

The length of a chord which is at a distance of 5cm from the centre of a circle of radius 13cm is

The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

 In ΔDEF measure of angle E is 90 deg. If tanD = 4/3, and DE = 6cm, then what is the length (in cm) of side EF?

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?

The successive discount of 15%, 20% and 25% on an article is equivalent to the single discount of