If $$ {x+{9\over x}=6}$$  then find the value of $$ {x^{2}+{1\over x^{3}}}$$

The simple interest on a sum  of money is $$8\over 25$$ of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is 

In a one kilometre race A, B and C are the three participants. A can give B a start of 50m. and Ca start of 69 m. The start, which B can allow C is

If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals

Each side of an equilateral triangle is 4 cm. What will be its area?

The diameter of a roller is 84 cm and its length is 120 cm. It makes 500 complete revolutions to move once over to level a playground. Find the area of the playground.

Study the given graph and answer the question that follows.

If 60% of the total number of students obtaining 50 marks or more but less than 70 marks are girls and 55 % of the total number of students obtaining 70 marks or more but less than 90 marks are also girls. Then the total number of girls obtaining 50 marks or more but less than 90 marks is:

In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?