Quantitative Aptitude - Arithmetic Ability Questions

If ab+ba=1,then the value of a3+b3 is

A total amount of Rs. 1560 is to be divided among A, B, C such that A gets 50% of what B gets and B gets 20% of what C gets. How much will B get ?

What is the simplified value of cosec 2A + cot 2A?

If a + b = 3 and ab = -4, then what is the value of a3 + b3?

To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is

The least number that must be added to 8961 to make it exactly divisible by 84 is

If x + (1/x) = 2, then what is the value of x64 + x121?

Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is: