The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

Find the forth proportional to , and .

A and  B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in-

If the sum of first three natural numbers from a group of six consecutive natural numbers is 36, then the sum of last three natural numbers will be? 

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?

For what value of 'm ' the points A ( m + 1 , 1 ) , B ( 2m + 1,3 ) and C ( 2m + 2 , 2m ) are collinear . 

Find the area of the circle formed in an equilateral triangle of side 42 cm. Using (π=22/7)