Quantitative Aptitude - Arithmetic Ability Questions

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

What is the difference (in Rs) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half-yearly?

x and y are two numbers such that their mean proportion is 8 and third proportion is 512. What is the value of x and y?