The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

$$ {x^{8}+4\over{x^{4}+2x^{2}+2}}$$ is equal to

A man crosses a diagonal of a square in 1.5 minutes with the speed of 4 k/h then the area of the square is -

If  $${{(17)^3-(7)^3}\over (17^2+7^2+k)}=10 $$ , then what is the value of k?

Express 15625 as a power of 5?

The smallest number, which when added to 680621 gives the sum a perfect square number, will be

If the loss is 20%, by what fraction should the selling price be multiplied to get the cost price?

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

Had there been no children in the family what would have been the total savings of the family including that provident fund?