Quantitative Aptitude - Arithmetic Ability Questions

In an ornament the ratio of gold and copper is 3:2. The percentage of gold in the ornament is:

A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease?

If a-b=1 and a3-b3 = 61, then the value of ab will be

If Sec θ = 25/24 , then what is the value of Sin θ?

The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?

a% of b + b% of a = ______

If a - b = 1 and ab = 6, then what is the value of a3- b3?

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?