Quantitative Aptitude - Arithmetic Ability Questions

In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to

(1155) +(18 − 6) × 9 =?

In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

If xy = -30 and x2 + y2 = 61, then find the value of (x + y).

The present ages of Kavitha, Rajitha and Haritha are in the ratio of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

In how many months will Rs 8,000 yield Rs 2,648 as compound interest at 20% per annum compounded semi-annually?

2 litre of pure alcohol is added to 6 litre, 40% alcohol solution. The percentage of water in the solution is _____ .

a% of b + b% of a = ______