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 14 cm and slant height 10 cm.

ΔPQR is right angled at Q. If cosP = 3/5, then what is the value of cosR ?

The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr. is

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?

In a triangle the length of the side opposite the angle which measures 30 degree is 9√3 cm, what is the length of the side opposite to the angle which measures 60 degree?

Manish lent out Rs 20000 in two parts. He put out first part at 6% and the second part at 8% interest. The yearly average interest comes out to be 6.4%.What are the amounts (in Rs) that were lent at 6% and 8% respectively?