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 45° is 16 cm, what is the length of the side opposite to the angle which measures 90°? 

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?

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

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

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

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?