Quantitative Aptitude - Arithmetic Ability Questions

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?

Which of the following numbers is a perfect square?

30% of a number exceeds 25% of the same number by 27. What is the value of the number?

Coefficient of x2 in 4x3 - 2x2 + 2x -­ 3 are

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

Two numbers are in the ratio 5:6 when 6 is added to each, the ratio becomes 7:8 then the numbers are