What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

Read the following graph carefully and answer the related questions-

Total number of students (in thousands) participating in comitative exam in various cities.

What is the ratio of number of students appearing tor competitive exam from city B to number of students appearing for competitive exam from city A? 

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

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

Pipes A and B together can fill a tank in 16 hours, whereas pipe C alone can empty the full tank in 24 hours. A and B were opened together for 10 hours and then closed. Pipe C was then opened. The tank will now be emptied by C in:

Train A of length 120 m can cross a platform of length 240 m in 18 second the ratio of speed of train A and Train B is 4 : 5. Then find the length of Train B if train B can cross a pole in 12 seconds.

A sum of money lent at simple interest amounts to ₹ 880 in 2 years and to ₹ 920 in 3 years. The sum of money (in rupees) is

The total sum of amounts of A and B at the end of 4 years and 2 years respectively on the same principal is Rs. 20,020. If A is charged Simple interest at the rate 10% and B is charged Compound interest at the rate 5%. The principal is?