Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

Reflection of the point (4,­6) in the origin is

If 1/√(1 -­ sin2A) = x, then the value of x is

Two cars travel from city A to city B at a speed of 60 and 108 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?

X alone can do a piece of work in 12 days and Y alone can do the same work in 6 days. In how many days will both together complete the same work?

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

Between 200 and 400 how many numbers are divisible by 7?

In the first 43 overs of a cricket match, the run rate was 5 runs/over. Calculate the required run rate in the remaining 7 overs to reach the target of 285 runs?