Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?

In an army selection process, the ratio of selected to unselected was 6:1. If 90 less had applied and 30 less selected, the ratio of selected to unselected would have been 8:1. How many candidates had applied for the process?

The third proportional of two numbers 12 and 48 is

The first and last terms of an arithmetic progression are 37 and ­18. If the sum of the series is 114, then it has how many terms?

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?(55.01+16.0003)×22.01÷10.998 =?

If 2x-12x = 5, then what is the value x2 + 116x2 - 2

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?