Quantitative Aptitude - Arithmetic Ability Questions

The height of the equilateral triangle is 9 cm. What is the radius (in cm) of the circle circumscribing the three vertices?

If x - y = 6 and xy = 40, then find x2 + y2 ?

A table tennis player, lost 12 games out of 18 games played. Calculate the games won in terms of decimal.

The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1 . The ratio of the radii of the spheres is

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C invests in the ratio of 2:3. Find the profit of C, when the annual profit is Rs. 2400

4 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?