The volume of a prism is 288cm³ and height is 24cm. The area of the base of the prism (cm²) is:

The ages of Bholu and Nitesh are in the ratio of 8 : 7 respectively. After 6 years, the ratio of their ages will be 19 : 17. What is the difference in their ages?

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?

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 annual savings in the form of provident fund would be

In a lottery, there are 7 prizes and 21 blanks. If a lottery is drawn at random, then what is the probability of getting a prize?

If a 50 liters mixture of milk and water is in the ratio of 3 : 2. After removal of 10 liters mixture, 12 liters milk and 12 liters water is added into the mixture. Find the final ratio of water and milk in the mixture.

if a+b+c=7 and a³+b³+c³-3abc=175, then what is the value of (ab+bc+ca)?

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?