Quantitative Aptitude - Arithmetic Ability Questions

If sin(A/2) = x, then the value of x is

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

The difference between the compound interest (compounding annually) and simple interest on a sum at the rate of 12% per annum for 2 years is Rs 360. What is the sum (in Rs)?

What is the compound interest on Rs. 48,000 for 2 years at 20% p.a., if interest is compounded annually?

If a+1a2=3,then the value of a2+1a2 will be

Mr. Mahesh sold a bus for Rs. 22,100 with a loss of 15%. At what price should the bus be sold to get a profit of 15%?

A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/hr and that of policeman as 9 km/hr, how far the thief would have run, before he is over- taken by the policeman?

A certain principal is invested in a scheme of compound interest. The amount obtained after 1 year is Rs 2400 and the amount obtained after 2 years is Rs 2880. What is the rate of interest (in percentage)?