Quantitative Aptitude - Arithmetic Ability Questions

There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs. 30000 after 3 years at the same rate?

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

What will be the net discount (in percentage) for two successive discounts of 30% and 20%?

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?

What is the fourth proportional to 24, 120 and 22?

The value of 16 - [5 - 2{14 of 2 - (8 ÷ 4 x 2 - 1 + 3}] is

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?