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.

If $$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$ then the value  of $$ {5x^2-5x-1}$$ will be:

A, B and C enter into a partner ship with capitals in the ratio 5 : 6 :8. At the end of business term, they received the profits in the ratio 5 : 3 :12. Find the ratio of time for which they contributed their capitals?

Pie chart shows the percent of money spent by family on various item during 1999. Study the graph and answer these questions.

The ratio of the total amount of money spent on housing to that spent on education was

The ratio of speeds of A is to B is 2:3 and therefore A takes 20 minutes less time than B takes. What is the ratio of time taken by A and B?

Direction: Study the following table carefully and answer the given questions. Table shows the of passed students in four schools and ratio between passed boys and girls among them. The ratio between failed boys and girls is reverse of passed ratio between them.

If in school P, 100 girls are failed in the exam, then find the total number of students in school P. 

In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but on both the days' number of students present in the school, were same. The number of girls in the school is –

The speed of first train is 45km/hr. and the speed of another train is 10m/sec. find the ratio of their speed?