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?

The value of (0.6363...+0.3737...) is

The LCM of 2 numbers is 12 times their HCF.The sum of HCF and LCM is 403.If one of the numbers is 93,then the other number is

A circle of radius r is inscribed in a regular polygon with n sides.If the perimeter of the polygon is p,area of the polygon is