Quantitative Aptitude - Arithmetic Ability Questions

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

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?

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 ?

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?

After buying a toy for Rs.45, Raghu managed to sell it at a profit of 15%. The selling price of the toy was

P + Q = 2(P-Q). If Q = 10, what is the value of P?

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