'The total surface area of a cube is 600 sq cm, what will be the length of its diagonal?

The sum of two and the product of 23 is 120. The sum of the areas will be:

Directions: The Pie chart given here represents the domestic expenditure of a family in per cent. Study the chart and answer the following questions if the total monthly income of the family is ₹ 33,650.

A: Expenditure on food

B: Expenditure on house-rent

C: Expenditure on entertainment

D: Expenditure on education and maintenance of children

E: Medical and miscellaneous expenditure

F: Deductions towards provident fund

The total amount per month, the family spends on food and entertainment combined together, is:

The value of $${0.7×0.7×0.7+0.3×0.3×0.3}\over {0.7×0.7-0.7×0.3+0.3×0.3}$$ is

Find the solution of 5x-7=12? 

The greatest common factor of two co-prime numbers will be

A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty $$2\over 3$$ part of the tank, if the internal radius of the tank is 10.5 m?

A mixture of milk and water contains 75% milk. If 8 liters of the mixture is taken out and 7 liters of milk is added, the ratio of milk to water becomes 7 : 2. Find the volume of the initial mixture.