The value of 32cot²(π/4)-8sec²(π/3)+8cos³(π/6) is equal to 

The minimum value of cos²x+cos²y-cos²z is

A clock is startd at noon.By 10 minutes past 5,through what angle the hour hand moves?

The difference of maximum values of the expressions (6+5x-x²) and (y-6-y²) for any values of x and y is

In a mixture of milk and water of volume 30l,the ratio of milk and water is 7:3.The quantity of water to be added to the mixture to make the ratio of milk and water 1:2 is

A sum of Rs 10000 is deposited for 1 year at the rate of interest 10% compounded half-yearly.What will be the interest at the end of 1 year?