Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 10 and ab = 24, then the value of a3 + b3 is

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?

If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____

If -5x3+2 = x-6, then find the value of x?

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64

In a camp 180 students had ration for 20 days. How many students should leave the camp if the ration should last for 25 days?

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is