The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years, the ratio of their ages will be 10:9. What is Ratna's present age?

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

$$ {a^2-b^2-2bc-c^2}\over{a^2+b^2+2ab-c^2}$$ is equal to

Directions: The following graph gives Sales, Expense and Capital of a company for a period of five years 1994 to 1998. Read the graph and answer the following questions.

In which year was the ratio of profits to capital the highest?

The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

According to an instruction a mixture of colour and Turpentine containing half part of each is perfect for painting a wall. A painter is provided a mixture, 3 parts of which are colour and 5 parts are Turpentine. How much of the mixture drawn off and replaced with colour so that the mixture becomes perfect?

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is 

A number which when divided by 10 leaves remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is: