Quantitative Aptitude - Arithmetic Ability Questions

If x + √5 = 5 + √y, and x, y are positive integers, then the value of x+yx + y

If a + b = 4 and ab = 3, then what is the value of a3 + b3?

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

If 35% of A is equal to 60% of B, then what is the ratio of A and B?

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 16000 for 2 years at 10% per annum. The sum placed on simple interest is:

In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

When 0.151515.....is converted into a fraction, then the result is

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs) earned by them together?