Quantitative Aptitude - Arithmetic Ability Questions

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

Find the total surface area (in cm2) of a right circular cone of diameter 21 cm and slant height 11 cm.

In triangle ABC measure of angle B is 90 deg. If sinA = 24/25, and AB = 1.4cm, then what is the length (in cm) of side BC.

The total surface area of a hemisphere is 166.32 sq cm, find its curved surface area?

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

If a rod of length 208 45 is cut into equal pieces of length 23 15 then the total number of rods obtained is

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

The simple interest on a sum for 5 years is two­fifth of the sum. The rate of interest per annum is