Quantitative Aptitude - Arithmetic Ability Questions

The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is

If a + b = 17 and a - b = 9 then the value of (4a2 + 4b2) is,

The radius of a hemisphere is 7 cm, find its volume?

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

The effective annual rate of interest corresponding to a nominal rate of 7% per annum payable half­yearly is

Present ages of Sai and Satheesh are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Satheesh's present age in years?

A factory buys 8 machines. 3 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 45000, Rs 25000 and Rs 35000 respectively. Calculate the average cost (in Rs) of these machines?