A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

A discount of 16% on the marked price of a book enables a man to buy a pen that costs? 80. How much did he pay for the book?

 If 3x²-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

A shopkeeper on selling 33 metres of cloth obtain a profit equal to the selling price of 11 metre of cloth the profit is

Two friends Pankaj and Raju entered into a partnership by investing an amount of Rs 6000 and Rs 9000 respectively and ratio of their period of investment is 2: 3. Find the profit share of Pankaj if profit share of Raju is Rs 45,000.

Rajesh purchased two different kinds of alcohol. In the first mixture, the ratio of alcohol to water is 4 : 5 and in second mixture it is 6 : 7. If he mixes the two given mixtures and makes a third mixture of 22 litres in which the ratio of alcohol to water is 5 : 6, the quantity of first mixture that is required to make 22 litres of the third kind of mixture is.

To do a certain work, the ratio of the efficiencies of A and B is 7: 5. Working together, they can complete the same work in $$17{1\over 2}$$ days. A alone will complete 60% of the same work in:

The volume of a cone is $${27720cm^2}$$. If the height of the cone is 20 cm, then what will be the area of the base?